Last update:
Wed Nov 8 10:29:20 MST 2023
Atsushi Higuchi Symmetric tensor spherical harmonics on
the $N$-sphere and their application to
the de Sitter group $ {\rm SO}(N, 1)$ 1553--1566
An Zhong Wang Gravitational interaction of plane
gravitational waves and matter shells 1065--1072
Xianzhe Dai and
Daniel S. Freed $ \eta $-invariants and determinant
lines. Topology and physics . . . . . . 5155--5194
V. Aldaya and
J. Guerrero Canonical coherent states for the
relativistic harmonic oscillator . . . . 3191--3199
K. Chadan and
R. Kobayashi A sufficient condition for the existence
of bound states in a potential . . . . . 4900--4908
Thomas P. Branson and
Peter B. Gilkey and
Dmitri V. Vassilevich Vacuum expectation value asymptotics for
second order differential operators on
manifolds with boundary . . . . . . . . 1040--1049
A. W. Sáenz Lie-series approach to the evolution of
resonant and nonresonant anharmonic
oscillators in quantum mechanics . . . . 1887--1909
Mark Byrd Differential geometry on $ \mathit
{SU}(3) $ with applications to three
state systems . . . . . . . . . . . . . 6125--6136
Christian Fleischhack A new type of loop independence and $
{\rm SU}(N) $ quantum Yang--Mills theory
in two dimensions . . . . . . . . . . . 2584--2610
V. D. Ivashchuk and
S.-W. Kim and
V. N. Melnikov Hyperbolic Kac--Moody algebra from
intersecting $p$-branes . . . . . . . . 4072--4083
H. Ardavan Method of handling the divergences in
the radiation theory of sources that
move faster than their waves . . . . . . 4331--4336
Shoju Kudaka and
Shuichi Matsumoto Uncertainty principle for proper time
and mass . . . . . . . . . . . . . . . . 1237--1245
K. N. Raghavan and
P. Sankaran On Verma bases for representations of $
{\rm sl}(n, \mathbb {C}) $ . . . . . . . 2190--2195
M. Rainer Cones and causal structures on
topological and differentiable manifolds 6589--6597
Nicolae Angelescu and
Robert A. Minlos and
Valentin A. Zagrebnov The one-particle energy spectrum of
weakly coupled quantum rotators . . . . 1--23
G. Y. H. Avossevou and
M. N. Hounkonnou Relativistic scattering theory for a $
\delta $ sphere plus a Coulomb
interaction with boundary conditions of
second type . . . . . . . . . . . . . . 24--39
J. Dimock Locality in free string field theory . . 40--61
Frédéric Faure and
Bernard Parisse Semi-classical study of the origin of
quantized Hall conductance in periodic
potentials . . . . . . . . . . . . . . . 62--75
Christian Fleischhack A new type of loop independence and $
\mathit {SU}(N) $ quantum Yang--Mills
theory in two dimensions . . . . . . . . 76--102
George A. Hagedorn and
Bernhard Meller Resonances in a box . . . . . . . . . . 103--117
E. Karpov and
I. Prigogine and
T. Petrosky and
G. Pronko Friedrichs model with virtual
transitions. Exact solution and indirect
spectroscopy . . . . . . . . . . . . . . 118--131
Jorma Louko and
Carlo Rovelli Refined algebraic quantization in the
oscillator representation of $ \mathit
{SL}(2, \mathbb {R}) $ . . . . . . . . . 132--155
R. Vilela Mendes Geometry, stochastic calculus, and
quantum fields in a noncommutative
space--time . . . . . . . . . . . . . . 156--186
M. V. Pletyukhov and
E. A. Tolkachev Green's function for the
five-dimensional $ \mathit {SU}(2) $
MIC--Kepler problem . . . . . . . . . . 187--194
Colin Trueman and
K. K. Wan Single point interactions, quantization
by parts, and boundary conditions . . . 195--205
Rainer Verch The averaged null energy condition for
general quantum field theories in two
dimensions . . . . . . . . . . . . . . . 206--217
John R. Walkup and
Martin Dunn and
Deborah K. Watson Branch-point structure and the energy
level characterization of avoided
crossings . . . . . . . . . . . . . . . 218--239
Nik Weaver On the universality of almost every
quantum logic gate . . . . . . . . . . . 240--243
Olaf Wittich A transformation of a Feynman--Kac
formula for holomorphic families of type
B . . . . . . . . . . . . . . . . . . . 244--259
M. Brüggen and
D. O. Gough Free energy of a screened ion pair . . . 260--283
Mark S. Alber and
Gregory G. Luther and
Charles A. Miller On soliton-type solutions of equations
associated with $N$-component systems 284--316
Juan A. Calzada and
J. Negro and
Mariano A. del Olmo and
Miguel A. Rodríguez Contraction of superintegrable
Hamiltonian systems . . . . . . . . . . 317--336
Xianguo Geng and
H. H. Dai Algebro-geometric solutions of $ (2 +
1)$-dimensional coupled modified
Kadomtsev--Petviashvili equations . . . 337--348
Boling Guo and
Peicheng Zhu Algebraic $ L^2 $ decay for the solution
to a class system of non-Newtonian fluid
in $ \mathbb {R}^n $ . . . . . . . . . . 349--356
Bo-yu Hou and
Wen-Li Yang The dynamical twisting and nondynamical
$r$-matrix structure of the elliptic
Ruijsenaars--Schneider model . . . . . . 357--369
Max Karlovini and
Kjell Rosquist A unified treatment of cubic invariants
at fixed and arbitrary energy . . . . . 370--384
Boris G. Konopelchenko and
Luis Martínez Alonso and
Elena Medina Singular sector of the
Kadomtsev--Petviashvili hierarchy, $
\bar {\partial } $ operators of nonzero
index, and associated integrable systems 385--413
Pierre C. Sabatier Elbow scattering and inverse scattering
applications to LKdV and KdV . . . . . . 414--436
Jörg Frauendiener and
George A. J. Sparling Local twistors and the conformal field
equations . . . . . . . . . . . . . . . 437--443
V. D. Ivashchuk and
Sung-Won Kim Solutions with intersecting $p$-branes
related to Toda chains . . . . . . . . . 444--460
Debabrata Basu and
Subrata Bal and
K. V. Shajesh The character of the exceptional series
of representations of $ \mathit {SU}(1,
1) $ . . . . . . . . . . . . . . . . . . 461--467
N. Benhamou and
T. Lhallabi $ N = 2 $ supercovariant operators and
Krichever--Novikov algebra . . . . . . . 468--479
Vladimir Dorodnitsyn and
Roman Kozlov and
Pavel Winternitz Lie group classification of second-order
ordinary difference equations . . . . . 480--504
H. Fakhri and
M. A. Jafarizadeh Master function approach to quantum
solvable models on $ \mathrm {SL}(2, c)
$ and $ \mathrm {SL}(2, c) / \mathrm
{GL}(1, c) $ manifolds . . . . . . . . . 505--546
Mark D. Gould and
Yao-Zhong Zhang and
Phillip S. Isaac Casimir invariants from quasi-Hopf
(super)algebras . . . . . . . . . . . . 547--568
I. V. Krasovsky Quasiexactly solvable problems and the
dual ($q$)-Hahn polynomials . . . . . . 569--577
Salah Mehdi Semiclassical limit for the
Binegar--Zierau quantization of the
minimal nilpotent orbits of $ {\rm
SO}_o(2 p, 2) $ . . . . . . . . . . . . 578--601
Yucai Su Classification of finite dimensional
modules of singly atypical type over the
Lie superalgebras $ {\rm sl}(m / n) $ 602--613
Christian Fleischhack Erratum: ``A new type of loop
independence and $ {\rm SU}(N) $ quantum
Yang--Mills theory in two dimensions'',
[J. Math. Phys. 40, 2584 (1999)] . . . . 614--614
C. Anastopoulos Quantum fields in nonstatic background:
A histories perspective . . . . . . . . 617--637
Richard Arens and
V. S. Varadarajan On the concept of
Einstein--Podolsky--Rosen states and
their structure . . . . . . . . . . . . 638--651
C. Daskaloyannis and
K. Kanakoglou and
I. Tsohantjis Hopf algebraic structure of the
parabosonic and parafermionic algebras
and paraparticle generalization of the
Jordan--Schwinger map . . . . . . . . . 652--660
Fumio Hiroshima Ground states of a model in
nonrelativistic quantum electrodynamics.
II . . . . . . . . . . . . . . . . . . . 661--674
M. A. Jafarizadeh and
A. R. Esfandyari and
H. Panahi-Talemi Isospectral deformation of some shape
invariant potentials . . . . . . . . . . 675--700
M. A. Jafarizadeh and
S. Jalalzadeh Calculation of the level splitting of
energy and the decay rate of some
one-dimensional potentials by instantons
method . . . . . . . . . . . . . . . . . 701--720
Anjan Kundu Construction of quasi-two- and
higher-dimensional quantum integrable
models . . . . . . . . . . . . . . . . . 721--727
Yanguang (Charles) Li On 2D Euler equations. I. On the
energy--Casimir stabilities and the
spectra for linearized 2D Euler
equations . . . . . . . . . . . . . . . 728--758
Edward P. Osipov Quantum interaction $ \colon \phi^4_4
\colon $, the construction of quantum
field defined as a bilinear form . . . . 759--786
E. Prodan Cluster expansion for $ \mathcal
{P}(\phi)_2 $: explicit estimates . . . 787--804
G. Cicogna and
M. Santoprete An approach to Mel'nikov theory in
celestial mechanics . . . . . . . . . . 805--815
B. Kleihaus and
D. H. Tchrakian and
F. Zimmerschied Monopole Skyrmions . . . . . . . . . . . 816--834
L. Mangiarotti and
G. Sardanashvily On the geodesic form of second-order
dynamic equations . . . . . . . . . . . 835--844
Edwin A. Marengo and
Richard W. Ziolkowski A new procedure for specifying
nonradiating current distributions and
the fields they produce . . . . . . . . 845--866
Guang-wei Yuan Convergence of $ P_N $ approximation for
the neutron transport equation with
reflective boundary condition . . . . . 867--874
A. San Miguel Lie--Poisson structure for the
homogeneous motion of self-gravitating
compressible fluids . . . . . . . . . . 875--881
Naresh Dadhich and
L. K. Patel Gravoelectric dual of the Kerr solution 882--890
M. Kachkachi and
O. Dafounansou and
M. Nazah Polyakov conjecture on the supertorus 891--897
Juan Antonio Valiente Kroon On Killing vector fields and
Newman--Penrose constants . . . . . . . 898--923
Stefan Davids Semiclassical limits of extended Racah
coefficients . . . . . . . . . . . . . . 924--943
Adam Doliwa and
Paolo Maria Santini and
Manuel Mañas Transformations of quadrilateral
lattices . . . . . . . . . . . . . . . . 944--990
R. Michael Howe and
Tuong Ton-That Multiplicity, invariants and tensor
product decompositions of tame
representations of $ \mathrm {U}(\infty)
$ . . . . . . . . . . . . . . . . . . . 991--1015
Takashi Nitta and
Tadashi Taniguchi Hypergeometric functions and moduli
spaces of null-correlation bundles . . . 1016--1025
Mark Byrd Erratum: ``Differential geometry on $
{\rm SU}(3) $ with applications to three
state systems'', [J. Math. Phys. 39,
6125--6136 (1998)] . . . . . . . . . . . 1026--1030
T. Bodineau and
D. Ioffe and
Y. Velenik Rigorous probabilistic analysis of
equilibrium crystal shapes . . . . . . . 1033--1098
Russell Lyons Phase transitions on nonamenable graphs 1099--1126
D. J. A. Welsh and
C. Merino The Potts model and the Tutte polynomial 1127--1152
Hans-Otto Georgii and
Yasunari Higuchi Percolation and number of phases in the
two-dimensional Ising model . . . . . . 1153--1169
M. Biskup and
C. Borgs and
J. T. Chayes and
R. Kotecký Gibbs states of graphical
representations of the Potts model with
external fields . . . . . . . . . . . . 1170--1210
Erwin Bolthausen and
Jean Dominique Deuschel and
Ofer Zeitouni Absence of a wetting transition for a
pinned harmonic crystal in dimensions
three and larger . . . . . . . . . . . . 1211--1223
Joel L. Lebowitz and
Marco Lenci and
Herbert Spohn Large deviations for ideal quantum
systems . . . . . . . . . . . . . . . . 1224--1243
Takashi Hara and
Gordon Slade The scaling limit of the incipient
infinite cluster in high-dimensional
percolation. II. Integrated
super-Brownian excursion . . . . . . . . 1244--1293
Itai Benjamini and
Olle Häggström and
Oded Schramm On the effect of adding $ \epsilon
$-Bernoulli percolation to everywhere
percolating subgraphs of $ \mathbb
{Z}^d$ . . . . . . . . . . . . . . . . . 1294--1297
Harry Kesten and
Zhonggen Su Some remarks on $ A B $-percolation in
high dimensions . . . . . . . . . . . . 1298--1320
Christian Borgs and
Jennifer Chayes and
Christopher King and
Neal Madras Anisotropic self-avoiding walks . . . . 1321--1337
Richard Kenyon Long-range properties of spanning trees 1338--1363
Senya Shlosman Geometric variational problems of
statistical mechanics and of
combinatorics . . . . . . . . . . . . . 1364--1370
Robin Pemantle Towards a theory of negative dependence 1371--1390
N. Cancrini and
F. Martinelli On the spectral gap of Kawasaki dynamics
under a mixing condition revisited . . . 1391--1423
F. den Hollander and
E. Olivieri and
E. Scoppola Metastability and nucleation for
conservative dynamics . . . . . . . . . 1424--1498
Colin Cooper and
Martin E. Dyer and
Alan M. Frieze and
Rachel Rue Mixing properties of the Swendsen--Wang
process on the complete graph and narrow
grids . . . . . . . . . . . . . . . . . 1499--1527
Christian Maes and
Frank Redig and
Annelies Van Moffaert On the definition of entropy production,
via examples . . . . . . . . . . . . . . 1528--1554
Eric Vigoda Improved bounds for sampling colorings 1555--1569
Dana Randall and
Alistair Sinclair Self-testing algorithms for
self-avoiding walks . . . . . . . . . . 1570--1584
J. van den Berg and
R. Brouwer Random sampling for the monomer--dimer
model on a lattice . . . . . . . . . . . 1585--1597
Dana Randall and
Prasad Tetali Analyzing Glauber dynamics by comparison
of Markov chains . . . . . . . . . . . . 1598--1615
Tuncay Aktosun Darboux transformation for the
Schrödinger equation with steplike
potentials . . . . . . . . . . . . . . . 1619--1631
P. N. Bibikov Field theory in SU$_q$ (2) . . . . . . . 1632--1646
M. Chaichian and
A. Demichev and
P. Pre\usnajder Quantum field theory on the
noncommutative plane with $ E_q(2) $
symmetry . . . . . . . . . . . . . . . . 1647--1671
C. Ekstrand Neutral particles and super Schwinger
terms . . . . . . . . . . . . . . . . . 1672--1680
L. Freidel and
K. Krasnov Simple spin networks as Feynman graphs 1681--1690
M. P. Fry Chiral limit of the two-dimensional
fermionic determinant in a general
magnetic field . . . . . . . . . . . . . 1691--1710
Hans Halvorson and
Rob Clifton Generic Bell correlation between
arbitrary local algebras in quantum
field theory . . . . . . . . . . . . . . 1711--1717
M. N. Hounkonnou and
G. Y. H. Avossevou Exactly solvable models of $
\delta^{\prime }$-sphere interactions in
relativistic quantum mechanics . . . . . 1718--1734
M. N. Hounkonnou and
G. Y. H. Avossevou Relativistic scattering theory for
finitely many $ \delta $-sphere
interactions supported by concentric
spheres . . . . . . . . . . . . . . . . 1735--1744
Christian D. Jäkel The Reeh--Schlieder property for thermal
field theories . . . . . . . . . . . . . 1745--1754
Satish D. Joglekar and
A. Misra Relating Green's functions in axial and
Lorentz gauges using finite
field-dependent BRS transformations . . 1755--1767
Andrei Khrennikov Non-Kolmogorov probability models and
modified Bell's inequality . . . . . . . 1768--1777
Wolfgang Lucha and
Franz F. Schöberl The one-dimensional spinless
relativistic Coulomb problem . . . . . . 1778--1787
Yoshitaka Okumura Becchi--Rouet--Stora--Tyutin invariant
formulation of spontaneously broken
gauge theory in a generalized
differential geometry . . . . . . . . . 1788--1800
R. W. Robinett Wave packet revivals and quasirevivals
in one-dimensional power law potentials 1801--1813
Shogo Tanimura and
Toshihiro Iwai Reduction of quantum systems on
Riemannian manifolds with symmetry and
application to molecular mechanics . . . 1814--1842
Luciane R. de Freitas Exceptional Lagrangians for spin-2
field: Standard variables . . . . . . . 1843--1853
Michael Efroimsky Precession of a freely rotating rigid
body. Inelastic relaxation in the
vicinity of poles . . . . . . . . . . . 1854--1888
M. Ferraris and
M. Francaviglia and
M. Raiteri Dual Lagrangian field theories . . . . . 1889--1915
E. Gozzi and
D. Mauro A new look at the Schouten--Nijenhuis,
Frölicher--Nijenhuis, and
Nijenhuis--Richardson brackets . . . . . 1916--1933
Aleksei P. Kiselev and
Maria V. Perel Highly localized solutions of the wave
equation . . . . . . . . . . . . . . . . 1934--1955
V. E. Mkrtchian and
R. v. Baltz Dynamical electromagnetic modes for an
expanding sphere . . . . . . . . . . . . 1956--1960
S. V. Neshveyev On the K-property of quantized Arnold
cat maps . . . . . . . . . . . . . . . . 1961--1965
Jenn-Nan Wang A bistatic inverse scattering problem
for electromagnetic waves . . . . . . . 1966--1978
Hans C. Andersen Functional and graphical methods for
classical statistical dynamics. I. A
formulation of the Martin--Siggia--Rose
method . . . . . . . . . . . . . . . . . 1979--2020
T. Matolcsi On the mathematical structure of
thermodynamics . . . . . . . . . . . . . 2021--2042
Oleg I. Bogoyavlenskij Counterexamples to Parker's theorem . . 2043--2057
Fan Engui and
Zhang Hongqing A hierarchy of nonlinear evolution
equations, its bi-Hamiltonian structure,
and finite-dimensional integrable
systems . . . . . . . . . . . . . . . . 2058--2065
Yishen Li and
Chunli Chen The motion of surfaces in geodesic
coordinates and $ 2 + 1$-dimensional
breaking soliton equation . . . . . . . 2066--2076
Guoguang Lin and
Hongjun Gao and
Jinqiao Duan and
Vincent J. Ervin Asymptotic dynamical difference between
the nonlocal and local Swift--Hohenberg
models . . . . . . . . . . . . . . . . . 2077--2089
Sonia Martínez and
Jorge Cortés and
Manuel de León The geometrical theory of constraints
applied to the dynamics of vakonomic
mechanical systems: The vakonomic
bracket . . . . . . . . . . . . . . . . 2090--2120
Manuel F. Rañada Dynamical symmetries, bi-Hamiltonian
structures, and superintegrable $ n = 2
$ systems . . . . . . . . . . . . . . . 2121--2134
M. Seredy\'nska and
A. Hanyga Nonlinear Hamiltonian equations with
fractional damping . . . . . . . . . . . 2135--2156
Qi-Yan Shi and
Si-Ming Zhu A finite-dimensional integrable system
and the $r$-matrix method . . . . . . . 2157--2166
Ashfaque H. Bokhari and
Abdul R. Kashif and
Asghar Qadir Classification of curvature
collineations of plane symmetric static
spacetimes . . . . . . . . . . . . . . . 2167--2172
Felix Finster and
Joel Smoller and
Shing-Tung Yau Non-existence of time-periodic solutions
of the Dirac equation in a
Reissner--Nordström black hole background 2173--2194
Helmut Friedrich and
János Kánnár Bondi-type systems near spacelike
infinity and the calculation of the
Newman--Penrose constants . . . . . . . 2195--2232
G. Bandelloni and
S. Lazzarini $ {W}$-algebras from canonical
transformations . . . . . . . . . . . . 2233--2250
Ö. Ceyhan and
A. S. Fokas and
M. Gürses Deformations of surfaces associated with
integrable Gauss--Mainardi--Codazzi
equations . . . . . . . . . . . . . . . 2251--2270
Shun-Jen Cheng and
Victor G. Kac and
Minoru Wakimoto Extensions of Neveu--Schwarz conformal
modules . . . . . . . . . . . . . . . . 2271--2294
R. W. Cutler III and
T. W. Kephart A relation between anomaly coefficients
and the group $ G_2 $ . . . . . . . . . 2295--2298
V. D. Gladush and
R. A. Konoplya The generalized Casimir operator and
tensor representations of groups . . . . 2299--2309
Hans Plesner Jakobsen and
Hechun Zhang A class of quadratic matrix algebras
arising from the quantized enveloping
algebra $ \mathcal {U}_q(A_{2n - 1}) $ 2310--2336
Palle E. T. Jorgensen Off-diagonal terms in symmetric
operators . . . . . . . . . . . . . . . 2337--2349
Cezary Juszczak Classical $r$-matrices for the $ \mathit
{osp}(2 / 2)$ Lie superalgebra . . . . . 2350--2359
Achim Kempf Black holes, bandwidths and Beethoven 2360--2374
Kenneth L. Kowalski Generalized binomial distributions . . . 2375--2382
E. C. Lance and
A. Paolucci Conjugation in braided $ C^*
$-categories and orthogonal quantum
groups . . . . . . . . . . . . . . . . . 2383--2394
Andrei Moroianu and
Uwe Semmelmann Parallel spinors and holonomy groups . . 2395--2402
Deepak Parashar and
Roger J. McDermott Contraction of the $ G_{r, s} $ quantum
group to its nonstandard analog and
corresponding colored quantum groups . . 2403--2416
Michelle Parry and
Ephraim Fischbach Probability distribution of distance in
a uniform ellipsoid: Theory and
applications to physics . . . . . . . . 2417--2433
Matthias W. Reinsch A simple expression for the terms in the
Baker--Campbell--Hausdorff series . . . 2434--2442
Matthias Schork Generalized $ b c$-systems based on
Hermitian vector bundles . . . . . . . . 2443--2459
Wen-Li Yang and
Yao-Zhong Zhang Vertex operators of $ U_q[\mathrm
{gl}(\hat {N}|N)] $ and highest weight
representations of $ U_q[\mathrm
{gl}(\hat {2}|2)] $ . . . . . . . . . . 2460--2481
Stephen L. Adler and
Lawrence P. Horwitz Structure and properties of Hughston's
stochastic extension of the Schrödinger
equation . . . . . . . . . . . . . . . . 2485--2499
E. G. Beltrametti and
S. Bugajski and
V. S. Varadarajan Extensions of convexity models . . . . . 2500--2514
Niels Emil Jannik Bjerrum-Bohr $ 1 / N $ expansions in nonrelativistic
quantum mechanics . . . . . . . . . . . 2515--2536
Martin Bojowald and
Thomas Strobl Group theoretical quantization and the
example of a phase space $ S^1 \times
\mathbb {R}^+ $ . . . . . . . . . . . . 2537--2567
Olivier Bokanowski Symmetry requirement for a deformation
operator related to density functional
theory . . . . . . . . . . . . . . . . . 2568--2585
Dorje C. Brody and
Lane P. Hughston Information content for quantum states 2586--2592
Ariel Fernández and
Andrés Colubri Renormalized Hamiltonian for a peptide
chain: Digitalizing the protein folding
problem . . . . . . . . . . . . . . . . 2593--2603
T. A. Ivanova and
A. D. Popov Dressing symmetries of holomorphic BF
theories . . . . . . . . . . . . . . . . 2604--2615
Ying Jiang and
Yishi Duan The branch process of cosmic strings . . 2616--2628
E. G. Kalnins and
W. Miller, Jr. and
G. S. Pogosyan Coulomb-oscillator duality in spaces of
constant curvature . . . . . . . . . . . 2629--2657
J. M. F. Labastida and
Esther Pérez Combinatorial formulas for Vassiliev
invariants from Chern--Simons gauge
theory . . . . . . . . . . . . . . . . . 2658--2699
C. N. Leung and
J. A. Murakowski Padé interpolation: Methodology and
application to quarkonium . . . . . . . 2700--2705
Hui Li and
Dimitri Kusnezov Dynamical symmetry approach to periodic
Hamiltonians . . . . . . . . . . . . . . 2706--2722
De-Hone Lin Path integral solution by sum over
perturbation series . . . . . . . . . . 2723--2731
Marius M\uantoiu and
Serge Richard Absence of singular spectrum for
Schrödinger operators with anisotropic
potentials and magnetic fields . . . . . 2732--2740
Michael Martin Nieto and
D. Rodney Truax Time-dependent Schrödinger equations
having isomorphic symmetry algebras. I.
Classes of interrelated equations . . . 2741--2752
Michael Martin Nieto and
D. Rodney Truax Time-dependent Schrödinger equations
having isomorphic symmetry algebras. II.
Symmetry algebras, coherent and squeezed
states . . . . . . . . . . . . . . . . . 2753--2767
Tommy Ohlsson and
Håkan Snellman Three flavor neutrino oscillations in
matter . . . . . . . . . . . . . . . . . 2768--2788
P. Pre\usnajder The origin of chiral anomaly and the
noncommutative geometry . . . . . . . . 2789--2804
J. V. Pulé and
M. Scrowston The spectrum of a magnetic Schrödinger
operator with randomly located delta
impurities . . . . . . . . . . . . . . . 2805--2825
Niclas Wyllard (Super)conformal many-body quantum
mechanics with extended supersymmetry 2826--2838
Chang-jun Cheng and
Xian-yao Chen Inverse scattering for inhomogeneous
viscoelastic media . . . . . . . . . . . 2839--2850
Ö. D. Gürcan and
V. V. Mirnov and
D. Üçer Radial motion of highly conducting
sphere in magnetic field . . . . . . . . 2851--2857
L. Mangiarotti and
G. Sardanashvily Constraints in Hamiltonian
time-dependent mechanics . . . . . . . . 2858--2876
W. Sarlet and
A. Ramos Adjoint symmetries, separability, and
volume forms . . . . . . . . . . . . . . 2877--2888
J. M. Dye and
A. Parker An inverse scattering scheme for the
regularized long-wave equation . . . . . 2889--2904
Leonid Faybusovich and
Michael Gekhtman Elementary Toda orbits and integrable
lattices . . . . . . . . . . . . . . . . 2905--2921
F. G. Gascón and
D. Peralta Salas and
J. Ruiz Sancho A separation bound for non-Hamiltonian
differential equations with proper first
integrals . . . . . . . . . . . . . . . 2922--2930
Nian-Ning Huang and
Sien Chi and
B. L. Lou and
Xiang-Jun Chen A direct theory for the perturbed
unstable nonlinear Schrödinger equation 2931--2942
Yongsheng Li and
Boling Guo and
Murong Jiang Existence and blow-up of solutions to
degenerate Davey--Stewartson equations 2943--2956
Eric McSween and
Pavel Winternitz Integrable and superintegrable
Hamiltonian systems in magnetic fields 2957--2967
Enrique G. Reyes Conservation laws and Calapso--Guichard
deformations of equations describing
pseudo-spherical surfaces . . . . . . . 2968--2989
F. Andersson and
S. B. Edgar Spin coefficients as Lanczos scalars:
Underlying spinor relations . . . . . . 2990--3001
B. Chauvineau A generalization of the geodesic notion 3002--3006
V. Dzhunushaliev and
H.-J. Schmidt New vacuum solutions of conformal Weyl
gravity . . . . . . . . . . . . . . . . 3007--3015
Pierre Gravel Static stringlike solutions in
five-dimensional relativity. II . . . . 3016--3027
R. Scipioni On the extension of the Obukhov theorem
in non-Riemannian gravity. I . . . . . . 3028--3034
U. von der Gönna and
A. Pravdová Symmetries of asymptotically flat
axisymmetric space--times with null dust 3035--3044
Mitsuko Abe and
Masamichi Sato Calabi--Yau manifolds by Borcea--Voisin
method . . . . . . . . . . . . . . . . . 3045--3056
Nour Eddine Askour and
Ahmed Intissar and
Zouha\"\ir Mouayn Explicit formulas for reproducing
kernels of generalized Bargmann spaces
on $ C^n $ . . . . . . . . . . . . . . . 3057--3067
Gaspare Carbone Turaev--Viro invariant and 3 $ n j $
symbols . . . . . . . . . . . . . . . . 3068--3085
Dao-Qing Dai Wavelets and orthogonal polynomials
based on harmonic oscillator eigenstates 3086--3103
G. W. Johnson and
J. G. Kim A dominated-type convergence theorem for
the Feynman integral . . . . . . . . . . 3104--3112
Nikolaos Kalogeropoulos Majorana spinors on unoriented surfaces 3113--3124
D. Korotkin and
N. Manojlovi\'c and
H. Samtleben Schlesinger transformations for elliptic
isomonodromic deformations . . . . . . . 3125--3141
Piotr Kosi\'nski and
Pawe\l Ma\'slanka The contraction of $ \mathrm {SU}_{\mu
}(2) $ and its differential structures
to $ E_{\kappa }(2) $ . . . . . . . . . 3142--3159
R. A. Kraenkel and
M. Senthilvelan and
A. I. Zenchuk On the integrable perturbations of the
Camassa--Holm equation . . . . . . . . . 3160--3169
Peter Laurence and
Edward Stredulinsky Asymptotic Massey products, induced
currents and Borromean torus links . . . 3170--3191
A. J. Macfarlane and
Hendryk Pfeiffer On characteristic equations, trace
identities and Casimir operators of
simple Lie algebras . . . . . . . . . . 3192--3225
Jian-min Mao A condition for an area-preserving
mapping to be in the Engel's form . . . 3226--3232
B. Mehlig and
J. T. Chalker Statistical properties of eigenvectors
in non-Hermitian Gaussian random matrix
ensembles . . . . . . . . . . . . . . . 3233--3256
Ettore Minguzzi Orthogonal polynomial method and odd
vertices in matrix models . . . . . . . 3257--3267
J. A. Oteo and
J. Ros From time-ordered products to Magnus
expansion . . . . . . . . . . . . . . . 3268--3277
Domingo Prato and
Constantino Tsallis Functions of linear operators: Parameter
differentiation . . . . . . . . . . . . 3278--3282
P. Zhevandrov and
E. Alcántar Singular boundary perturbations for some
eigenvalue problems . . . . . . . . . . 3283--3289
M. Ziane On a certain renormalization group
method . . . . . . . . . . . . . . . . . 3290--3299
Nik Weaver Comment on ``On the universality of
almost every quantum logic gate'', [J.
Math. Phys. \bf 41, 240 (2000)] . . . . 3300--3300
Thomas P. Branson and
Peter B. Gilkey and
Dmitri V. Vassilevich Erratum: ``Vacuum expectation value
asymptotics for second-order
differential operators on manifolds with
boundary'', [J. Math. Phys. \bf 39, 1040
(1998)] . . . . . . . . . . . . . . . . 3301--3301
K. N. Raghavan and
P. Sankaran Erratum: ``On Verma bases for
representations of $ \mathit {sl}(n,
\mathbb {C}) $'', [J. Math. Phys. 40,
2190 (1999)] . . . . . . . . . . . . . . 3302--3302
M. Rainer Erratum: ``Cones and causal structures
on topological and differentiable
manifolds'', [J. Math. Phys. \bf 40,
6589 (1999)] . . . . . . . . . . . . . . 3303--3303
V. I. Arnold Symplectic geometry and topology . . . . 3307--3343
Jürgen Ehlers and
Ezra T. Newman The theory of caustics and wave front
singularities with physical applications 3344--3378
Jerrold E. Marsden and
Tudor S. Ratiu and
Jürgen Scheurle Reduction theory and the Lagrange--Routh
equations . . . . . . . . . . . . . . . 3379--3429
H. A. Posch and
W. Thirring Some aspects of the classical three-body
problem that are close or foreign to
physical intuition . . . . . . . . . . . 3430--3447
W. Hunziker and
I. M. Sigal The quantum $N$-body problem . . . . . . 3448--3510
Alexander Rokhlenko and
Joel L. Lebowitz Ionization of a model atom by
perturbations of the potential . . . . . 3511--3522
Barry Simon Schrödinger operators in the twentieth
century . . . . . . . . . . . . . . . . 3523--3555
R. F. Streater Classical and quantum probability . . . 3556--3603
H. J. Borchers On revolutionizing quantum field theory
with Tomita's modular theory . . . . . . 3604--3673
Detlev Buchholz and
Rudolf Haag The quest for understanding in
relativistic quantum physics . . . . . . 3674--3697
Olivier Grandjean and
Arthur Jaffe Twist fields and broken supersymmetry 3698--3763
V. Rivasseau Constructive field theory and
applications: Perspectives and open
problems . . . . . . . . . . . . . . . . 3764--3775
Carlo Rovelli The century of the incomplete
revolution: Searching for general
relativistic quantum field theory . . . 3776--3800
Bert Schroer Particle physics and quantum field
theory at the turn of the century: Old
principles with new concepts . . . . . . 3801--3831
Alain Connes A short survey of noncommutative
geometry . . . . . . . . . . . . . . . . 3832--3866
Daniel Kastler Noncommutative geometry and fundamental
physical interactions: The Lagrangian
level --- Historical sketch and
description of the present situation . . 3867--3891
Shahn Majid Quantum groups and noncommutative
geometry . . . . . . . . . . . . . . . . 3892--3942
Felix Finster and
Joel Smoller and
Shing-Tung Yau Some recent progress in classical
general relativity . . . . . . . . . . . 3943--3963
Tullio Regge and
Ruth M. Williams Discrete structures in gravity . . . . . 3964--3984
Volker Bach and
Jürg Fröhlich and
Israel Michael Sigal Return to equilibrium . . . . . . . . . 3985--4060
Giovanni Gallavotti Nonequilibrium in statistical and fluid
mechanics. Ensembles and their
equivalence. Entropy driven
intermittency . . . . . . . . . . . . . 4061--4081
Pierre C. Sabatier Past and future of inverse problems . . 4082--4124
David Cai and
David W. McLaughlin Chaotic and turbulent behavior of
unstable one-dimensional nonlinear
dispersive waves . . . . . . . . . . . . 4125--4153
Pierre Cartier and
Cécile DeWitt-Morette Functional integration . . . . . . . . . 4154--4187
A. S. Fokas On the integrability of linear and
nonlinear partial differential equations 4188--4237
Naoufel Ben Abdallah On a multidimensional
Schrödinger--Poisson scattering model for
semiconductors . . . . . . . . . . . . . 4241--4261
Tuncay Aktosun Factorization and small-energy
asymptotics for the radial Schrödinger
equation . . . . . . . . . . . . . . . . 4262--4270
Asao Arai A particle-field Hamiltonian in
relativistic quantum electrodynamics . . 4271--4283
Linda Baker and
David Fairlie Companion equations for branes . . . . . 4284--4292
P. Bechouche and
J. Nieto and
E. Ruiz Arriola and
J. Soler On the time evolution of the mean-field
polaron . . . . . . . . . . . . . . . . 4293--4312
Martin Bojowald Abelian $ B F $-theory and spherically
symmetric electromagnetism . . . . . . . 4313--4329
John K. Boyd Probability amplitude dynamics for a
two-level system . . . . . . . . . . . . 4330--4364
G. Cattaneo and
G. Nistic\`o From unsharp to sharp quantum
observables: The general Hilbert space
case . . . . . . . . . . . . . . . . . . 4365--4378
Yishi Duan and
Libin Fu and
Guang Jia Topological tensor current of $ \tilde
{p}$-branes in the $ \phi $-mapping
theory . . . . . . . . . . . . . . . . . 4379--4386
Dana Fine Energy in Yang--Mills on a Riemann
surface . . . . . . . . . . . . . . . . 4387--4390
S. V. Frolov and
I. Yu. Popov Resonances for laterally coupled quantum
waveguides . . . . . . . . . . . . . . . 4391--4405
Kazuyuki Fujii Note on coherent states and adiabatic
connections, curvatures . . . . . . . . 4406--4412
H. Furutsu and
T. Kojima The $ U_q(\hat {sl_n}) $ analogue of the
$ X X Z $ chain with a boundary . . . . 4413--4436
Robin Horan and
Martin Lavelle and
David McMullan Asymptotic dynamics in quantum field
theory . . . . . . . . . . . . . . . . . 4437--4451
Vojkan Jak\usi\'c and
Stanislav Molchanov Wave operators for the surface Maryland
model . . . . . . . . . . . . . . . . . 4452--4463
Satish D. Joglekar and
Bhabani Prasad Mandal A superspace formulation of an
``asymptotic'' $ {\rm OSp}(3, 1 | 2) $
invariance of Yang--Mills theories . . . 4464--4477
Klaus Jung Phase space tunneling for operators with
symbols in a Gevrey class . . . . . . . 4478--4496
C. S. Lam Time ordering, energy ordering, and
factorization . . . . . . . . . . . . . 4497--4507
V. A. Malyshev Quantum grammars . . . . . . . . . . . . 4508--4520
V. V. Nesterenko and
I. G. Pirozhenko Spectral zeta functions for a cylinder
and a circle . . . . . . . . . . . . . . 4521--4531
Y\=uji Ohta Direct derivation of scaling relation of
prepotential in $ N = 2 $ supersymmetric
G$_2$ Yang--Mills theory . . . . . . . . 4532--4540
Y\=uji Ohta Instanton correction of prepotential in
Ruijsenaars model associated with $ N =
2 $ $ \mathit {SU}(2) $ Seiberg--Witten
theory . . . . . . . . . . . . . . . . . 4541--4550
Prabasaj Paul and
Daniel Nkemzi On the energy levels of a finite
square-well potential . . . . . . . . . 4551--4555
M. Rausch de Traubenberg and
M. J. Slupinski Fractional supersymmetry and $F$
th-roots of representations . . . . . . 4556--4571
John R. Reitz and
Frederick J. Mayer New electromagnetic bound states . . . . 4572--4581
H. Salehi and
Y. Bisabr and
H. Ghafarnejad Scalar tensor theories and Hadamard
state condition . . . . . . . . . . . . 4582--4589
Giuseppe Scolarici and
Luigi Solombrino Quaternionic symmetry groups and
particle multiplets . . . . . . . . . . 4590--4603
Piotr \cSniady and
Marcin Zygmunt The $ \mathrm {U}(1) $-invariant field
theories with normal field operators . . 4604--4606
Terje Aaberge Classical and quantal Lorentz covariant
models of the electromagnetic radiation
field . . . . . . . . . . . . . . . . . 4607--4621
Dale A. Woodside Classical four-vector fields in the
relativistic longitudinal gauge . . . . 4622--4653
S. Benenti and
C. Chanu and
G. Rastelli The super-separability of the three-body
inverse-square Calogero system . . . . . 4654--4678
R. Caseiro and
J.-P. Françoise and
R. Sasaki Algebraic linearization of dynamics of
Calogero type for any Coxeter group . . 4679--4686
Jining Gao Darboux transformation for
differential--difference principal
chiral equation and its continuous
limits . . . . . . . . . . . . . . . . . 4687--4694
Krzysztof Gaw\kedzki and
Pascal Tran-Ngoc-Bich Hitchin systems at low genera . . . . . 4695--4712
Pilar R. Gordoa Symmetries, exact solutions, and
nonlinear superposition formulas for two
integrable partial differential
equations . . . . . . . . . . . . . . . 4713--4731
B. D. Mestel and
A. H. Osbaldestin Asymptotics of scaling parameters for
period-doubling in unimodal maps with
asymmetric critical points . . . . . . . 4732--4746
Kouichi Toda and
Song-Ju Yu The investigation into the
Schwarz--Korteweg--de Vries equation and
the Schwarz derivative in $ (2 + 1) $
dimensions . . . . . . . . . . . . . . . 4747--4751
T. Harko and
M. K. Mak Anisotropic charged fluid spheres in $D$
space--time dimensions . . . . . . . . . 4752--4764
Alicia Herrero and
Juan Antonio Morales A kinematic method to obtain conformal
factors . . . . . . . . . . . . . . . . 4765--4776
Nenad Manojlovi\'c and
Aleksandar Mikovi\'c Belinskii--Zakharov formulation for
Bianchi models and Painlevé III equation 4777--4782
Claudia S. Peça and
José P. S. Lemos Thermodynamics of toroidal black holes 4783--4789
M. Yu. Zotov Dynamical system analysis for the
Einstein--Yang--Mills equations . . . . 4790--4807
Gregory W. Anderson and
Tomá\us Bla\vzek $ E_6 $ unification model building. I.
Clebsch--Gordan coefficients of $ 27
\otimes \overline {27} $ . . . . . . . . 4808--4816
Oscar Arratia and
Mariano A. del Olmo Induced representations of quantum $ (1
+ 1) $ Galilei algebras . . . . . . . . 4817--4832
G. Cassinelli and
E. De Vito and
A. Levrero Square-integrable imprimitivity systems 4833--4859
H. de Guise and
J. Patera and
R. T. Sharp $ \mathrm {SL}(3, \mathbb {C}) $
generator matrix elements in a Pauli
subgroup basis . . . . . . . . . . . . . 4860--4880
Louis Fishman and
Maarten V. de Hoop and
Mattheus J. N. van Stralen Exact constructions of square-root
Helmholtz operator symbols: The focusing
quadratic profile . . . . . . . . . . . 4881--4938
Xavier Gomez Classification of three-dimensional Lie
bialgebras . . . . . . . . . . . . . . . 4939--4956
Yu Huang and
Zhao Yi and
Zhaoyang Yin On the dimension of the global attractor
for a damped semilinear wave equation
with critical exponent . . . . . . . . . 4957--4966
R. L. Hudson and
S. Pulmannová Algebraic theory of product integrals in
quantum stochastic calculus . . . . . . 4967--4980
Jeong-Ah Kim and
Dong-Uy Shin Construction of Kac--Moody superalgebras
as minimal graded Lie superalgebras and
weight multiplicities for Kac--Moody
superalgebras . . . . . . . . . . . . . 4981--5001
R. C. King and
B. G. Wybourne Analogies between finite-dimensional
irreducible representations of $ \mathit
{SO}(2 n) $ and infinite-dimensional
irreducible representations of $ \mathit
{Sp}(2 n, \mathbb {R}) $. I. Characters
and products . . . . . . . . . . . . . . 5002--5019
J. R. Links and
M. D. Gould and
Y.-Z. Zhang Twisting invariance of link polynomials
derived from ribbon quasi-Hopf algebras 5020--5032
Xing-Bin Pan and
Yuanwei Qi Asymptotics of minimizers of variational
problems involving curl functional . . . 5033--5063
Yucai Su and
J. W. B. Hughes and
R. C. King Primitive vectors of Kac-modules of the
Lie superalgebras $ {\rm sl}(m / n) $ 5064--5087
R. Twarock Aperiodic Virasoro algebra . . . . . . . 5088--5106
S. C. Venkataramani and
T. A. Witten and
E. M. Kramer and
R. P. Geroch Limitations on the smooth confinement of
an unstretchable manifold . . . . . . . 5107--5128
Cosmas Zachos Geometrical evaluation of star products 5129--5134
A. W. Sáenz Erratum: ``Lie-series approach to the
evolution of resonant and nonresonant
anharmonic oscillators in quantum
mechanics'', [J. Math. Phys. \bf 39,
1887 (1998)] . . . . . . . . . . . . . . 5135--5135
Oleg A. Chalykh Bispectrality for the quantum
Ruijsenaars model and its integrable
deformation . . . . . . . . . . . . . . 5139--5167
Michael Heller and
Wies\law Sasin and
Zdzis\law Odrzygózdz State vector reduction as a shadow of a
noncommutative dynamics . . . . . . . . 5168--5179
Nurit Krausz and
M. S. Marinov Exact evolution operator on noncompact
group manifolds . . . . . . . . . . . . 5180--5208
Toru Nakamura Path space measure for the $ 3 +
1$-dimensional Dirac equation in
momentum space . . . . . . . . . . . . . 5209--5222
François Nicoleau An inverse scattering problem with the
Aharonov--Bohm effect . . . . . . . . . 5223--5237
Yoshitaka Okumura Generalized Chern--Simons form and
descent equation . . . . . . . . . . . . 5238--5244
G. Sardanashvily Classical and quantum mechanics with
time-dependent parameters . . . . . . . 5245--5255
Chris Vuille Schrödinger's equation and General
Relativity . . . . . . . . . . . . . . . 5256--5261
Nik Weaver Time-optimal control of finite quantum
systems . . . . . . . . . . . . . . . . 5262--5269
Bruno Wichnoski A representation space for minimal
coupling . . . . . . . . . . . . . . . . 5270--5276
Yao-Zhong Zhang and
Mark D. Gould $ \mathit {U}_q[\mathit {sl}(\hat {2}|)]
$ vertex operators, screen currents, and
correlation functions at an arbitrary
level . . . . . . . . . . . . . . . . . 5277--5291
Antonio Fernández and
Pedro L. García and
J. Muñoz Masqué Gauge-invariant covariant Hamiltonians 5292--5303
Olga Krupková Higher-order mechanical systems with
constraints . . . . . . . . . . . . . . 5304--5324
L. Rebollo-Neira and
A. Plastino and
J. Fernandez-Rubio Reconstruction of the joint time-delay
Doppler-scale reflectivity density in
the wide-band regime. A frame theory
based approach . . . . . . . . . . . . . 5325--5341
A. W. Sáenz Dynamics of axial channeling in
quasicrystals: An averaging-theory
approach . . . . . . . . . . . . . . . . 5342--5368
Vladimir O. Soloviev Bering's proposal for boundary
contribution to the Poisson bracket . . 5369--5380
Justino R. Madureira The Markovian limit in a nonlinear
quantum kinetic theory . . . . . . . . . 5381--5390
Jen-Hsu Chang and
Ming-Hsien Tu On the Miura Map between the
dispersionless KP and dispersionless
modified KP hierarchies . . . . . . . . 5391--5406
Michael Forger and
Sebastian Sachse Lie superalgebras and the multiplet
structure of the genetic code. I. Codon
representations . . . . . . . . . . . . 5407--5422
Michael Forger and
Sebastian Sachse Lie superalgebras and the multiplet
structure of the genetic code. II.
Branching schemes . . . . . . . . . . . 5423--5444
Félix Mondéjar and
Sebastián Ferrer On the nonintegrability of the
generalized van der Waals Hamiltonian
system . . . . . . . . . . . . . . . . . 5445--5452
Yunbo Zeng and
Wen-Xiu Ma and
Runliang Lin Integration of the soliton hierarchy
with self-consistent sources . . . . . . 5453--5489
Y. Brihaye and
A. Chakrabarti and
D. H. Tchrakian Finite energy--action solutions of $ p_1
$ Yang--Mills equations on $ p_2 $
Schwarzschild and deSitter backgrounds
in dimensions $ d \geq 4 $ . . . . . . . 5490--5509
Andrew Chamblin Existence of Majorana fermions for
$M$-branes wrapped in space and time . . 5510--5516
Diego M. Forni and
Mirta Iriondo and
Carlos N. Kozameh Null surfaces formulation in three
dimensions . . . . . . . . . . . . . . . 5517--5534
Simonetta Frittelli and
Roberto Gomez Ill-posedness in the Einstein equations 5535--5549
Volodymyr Pelykh Equivalence of the spinor and tensor
methods in the positive energy problem 5550--5556
J. M. Pons and
D. C. Salisbury and
L. C. Shepley Gauge transformation in
Einstein--Yang--Mills theories . . . . . 5557--5571
K. P. Tod Einstein--Weyl spaces and third-order
differential equations . . . . . . . . . 5572--5581
Dale Winter Analysis of the cosmological
Oppenheimer--Volkoff equations . . . . . 5582--5597
V. Abramov and
R. Kerner Exterior differentials of higher order
and their covariant generalization . . . 5598--5614
Jason Cantarella and
Dennis DeTurck and
Herman Gluck and
Mikhail Teytel Isoperimetric problems for the helicity
of vector fields and the Biot--Savart
and curl operators . . . . . . . . . . . 5615--5641
S. Janeczko Lagrangian submanifolds in product
symplectic spaces . . . . . . . . . . . 5642--5655
R. C. King and
B. G. Wybourne Analogies between finite-dimensional
irreducible representations of $ \mathit
{SO}(2 n) $ and infinite-dimensional
irreducible representations of $ \mathit
{Sp}(2 n, \mathcal {R}) $. II. Plethysms 5656--5690
Steven L. Liebling and
Eric W. Hirschmann and
James Isenberg Critical phenomena in nonlinear sigma
models . . . . . . . . . . . . . . . . . 5691--5700
Mark Mandelkern and
Jonas Schultz The statistical analysis of Gaussian and
Poisson signals near physical boundaries 5701--5709
J. Manjavidze Topology and perturbation theory . . . . 5710--5734
V. Marotta and
A. Sciarrino Tensor operators and Wigner--Eckart
theorem for $ U_{q \rightarrow
0}(\mathrm {sl}(2)) $ . . . . . . . . . 5735--5744
Thomas H. Otway Nonlinear Hodge maps . . . . . . . . . . 5745--5766
Naoko Saitoh and
Hiroaki Yoshida $q$-deformed Poisson random variables on
$q$-Fock space . . . . . . . . . . . . . 5767--5772
Lixin Tian Wavelet approximate inertial manifold in
nonlinear solitary wave equation . . . . 5773--5792
A. Ya. Tsaune and
M. P. Dyachenko General scheme of splittings of
degenerate eigensubspaces and
eigenelements of self-adjoint operators
in high orders of perturbation theory 5793--5813
J. R. Walkup and
M. Dunn and
D. K. Watson Local optimization of the summation of
divergent power series . . . . . . . . . 5814--5831
Yongtang Wu and
Dianlou Du On the Lie--Poisson structure of the
nonlinearized discrete eigenvalue
problem . . . . . . . . . . . . . . . . 5832--5848
Wen-Li Yang and
Yao-Zhong Zhang Level-one highest weight representation
of $ U_q[\mathit {sl}(\hat {N}|1)] $ and
Bosonization of the multicomponent Super
$t$--$J$ model . . . . . . . . . . . . . 5849--5869
Michael Efroimsky Erratum: ``Precession of a freely
rotating rigid body. Inelastic
relaxation in the vicinity of poles'',
[J. Math. Phys. \bf 41, 1854 (2000)] . . 5870--5870
Ariel Fernández and
Andrés Colubri Erratum: ``Renormalized Hamiltonian for
a peptide chain: Digitalizing the
protein folding problem'', [J. Math.
Phys. \bf 41, 2593 (2000)] . . . . . . . 5871--5871
Christoph Adam and
Bruno Muratori and
Charles Nash Non- $ L^2 $ solutions to the
Seiberg--Witten equations . . . . . . . 5875--5882
Gianni Cassinelli and
Ernesto De Vito and
Pekka Lahti and
Alberto Levrero Phase space observables and isotypic
spaces . . . . . . . . . . . . . . . . . 5883--5896
Tova Feldmann and
M. Cohen and
B. L. Burrows Coupled harmonic oscillator systems: An
elementary algebraic decoupling approach 5897--5909
Johanna Gaier and
Jakob Yngvason Geometric modular action, wedge duality,
and Lorentz covariance are equivalent
for generalized free fields . . . . . . 5910--5919
J-P. Gazeau and
M. V. Takook ``Massive'' vector field in de Sitter
space . . . . . . . . . . . . . . . . . 5920--5933
Andrei Khrennikov A perturbation of CHSH inequality
induced by fluctuations of ensemble
distributions . . . . . . . . . . . . . 5934--5944
Joachim Kupsch The role of infrared divergence for
decoherence . . . . . . . . . . . . . . 5945--5953
Patrick Le Guennec Two-dimensional theory of chirality. I.
Absolute chirality . . . . . . . . . . . 5954--5985
Patrick Le Guennec Two-dimensional theory of chirality. II.
Relative chirality and the chirality of
complex fields . . . . . . . . . . . . . 5986--6006
J. Bryce McLeod and
Yisong Yang The uniqueness and approximation of a
positive solution of the
Bardeen--Cooper--Schrieffer gap equation 6007--6025
E. A. Muljarov and
A. L. Yablonskii and
S. G. Tikhodeev and
A. E. Bulatov and
Joseph L. Birman Hyperspherical theory of anisotropic
exciton . . . . . . . . . . . . . . . . 6026--6041
Y\=uji Ohta Dual WDVV equations in $ N = 2 $
supersymmetric Yang--Mills theory . . . 6042--6047
Yoshitaka Okumura and
Kohei Mori Reformulation of the standard model in a
generalized differential geometry on the
discrete space $ M_4 \times X_2 $ . . . 6048--6059
Michele Pavon Stochastic mechanics and the Feynman
integral . . . . . . . . . . . . . . . . 6060--6078
Pablo Ramacher Modular localization of elementary
systems in the theory of Wigner . . . . 6079--6089
Moshe Schwartz and
Avishay Efrat and
James L. Monroe Effect of couplings weakening and
reversing in ferromagnetic Ising systems
--- Rigorous inequalities . . . . . . . 6090--6092
Francis S. G. Von Zuben Quantum time and spatial localization:
An analysis of the Hegerfeldt paradox 6093--6115
Anne Boutet de Monvel and
Dmitry Shepelsky A frequency--domain inverse problem for
a dispersive stratified chiral medium 6116--6129
Dionisios Margetis and
George Fikioris Two-dimensional, highly directive
currents on large circular loops . . . . 6130--6172
Mikhail V. Foursov Classification of certain integrable
coupled potential KdV and modified
KdV-type equations . . . . . . . . . . . 6173--6185
Luis Giraldo and
Francisco G. Gascón New proof and generalizations of the
Demidowitsch--Schneider criterion . . . 6186--6192
Manuel Núñez Invariant subspaces of the periodic
Navier--Stokes and magnetohydrodynamics
equations: Symmetries and inverse
cascades . . . . . . . . . . . . . . . . 6193--6197
Branislav Radak Moment invariants for nonlinear
Hamiltonian systems . . . . . . . . . . 6198--6232
Yukio Sano and
Isamu Miyamoto Generalized smooth and
weak-discontinuous unsteady waves . . . 6233--6247
A. I. Zenchuk Multidimensional hierarchies of $ (1 +
1)$-dimensional integrable partial
differential equations. Nonsymmetric $
\bar {\partial }$-dressing . . . . . . . 6248--6276
Andrew P. Billyard and
Alan A. Coley and
James E. Lidsey Cyclical behavior in early universe
cosmologies . . . . . . . . . . . . . . 6277--6283
V. Bozza Signs of the cusps in binary lenses . . 6284--6295
Sergio Dain and
Osvaldo M. Moreschi The Goldberg--Sachs theorem in
linearized gravity . . . . . . . . . . . 6296--6299
Simonetta Frittelli and
Lionel Mason and
Ezra T. Newman A spinor reformulation of the null
surface treatment of GR . . . . . . . . 6300--6317
Yakov Itin and
Shmuel Kaniel On a class of invariant coframe
operators with application to gravity 6318--6340
V. D. Ivashchuk and
V. N. Melnikov Billiard representation for
multidimensional cosmology with
intersecting $p$-branes near the
singularity . . . . . . . . . . . . . . 6341--6363
Robert J. Low The structure of cosmic strings . . . . 6364--6368
Alfredo Macías and
Claus Lämmerzahl and
Alberto García A class of colliding waves in
metric-affine gravity, nonmetricity and
torsion shock waves . . . . . . . . . . 6369--6380
Carl M. Bender and
Stefan Boettcher and
Van M. Savage Conjecture on the interlacing of zeros
in complex Sturm--Liouville problems . . 6381--6387
Carl M. Bender and
Gerald V. Dunne and
Lawrence R. Mead Underdetermined systems of partial
differential equations . . . . . . . . . 6388--6398
F. Calogero and
A. Degasperis and
Ji Xiaoda Nonlinear Schrödinger-type equations from
multiscale reduction of PDEs. I.
Systematic derivation . . . . . . . . . 6399--6443
Franco Ferrari and
Jan Sobczyk Bosonic field propagators on algebraic
curves . . . . . . . . . . . . . . . . . 6444--6462
Ying Jiang and
Yishi Duan A new topological aspect of the
arbitrary dimensional topological
defects . . . . . . . . . . . . . . . . 6463--6476
Atsuo Kuniba and
Kailash C. Misra and
Masato Okado and
Taichiro Takagi and
Jun Uchiyama Paths, Demazure crystals, and symmetric
functions . . . . . . . . . . . . . . . 6477--6486
Nguyen Anh Ky Induced representations of the two
parametric quantum deformation $ \mathrm
{U}_{pq}[\mathrm {gl}(2 / 2)] $ . . . . 6487--6508
Sen-yue Lou Symmetry analysis and exact solutions of
the $ 2 + 1 $ dimensional sine-Gordon
system . . . . . . . . . . . . . . . . . 6509--6524
Robert J. Low Continuous causal representation of
space--time via sphere orderings . . . . 6525--6528
Pi-Gang Luan and
H. C. Lee and
R. B. Zhang Colored solutions of the Yang--Baxter
equation from representations of $ U_q $
$ g l $ (2) . . . . . . . . . . . . . . 6529--6543
D. J. Rowe and
C. Bahri Clebsch--Gordan coefficients of $
\mathit {SU}(3) $ in $ \mathit {SU}(2) $
and $ \mathit {SO}(3) $ bases . . . . . 6544--6565
W. K. Schief On Laplace--Darboux-type sequences of
generalized Weingarten surfaces . . . . 6566--6599
W. Van Assche and
R. J. Yáñez and
R. González-Férez and
Jesús S. Dehesa Functionals of Gegenbauer polynomials
and $D$-dimensional hydrogenic momentum
expectation values . . . . . . . . . . . 6600--6613
Jianke Yang Complete eigenfunctions of linearized
integrable equations expanded around a
soliton solution . . . . . . . . . . . . 6614--6638
R. B. Zhang Structure and representations on the
quantum supergroup OSP$_q$ (2|2 $n$ ) 6639--6656
J. Barcelos-Neto Spontaneous compactification of $ D = 5
$ two-form gauge fields and the
obtainment of Maxwell and Yang--Mills
theories . . . . . . . . . . . . . . . . 6661--6670
Roberto De Pietri and
Carlo Petronio Feynman diagrams of generalized matrix
models and the associated manifolds in
dimension four . . . . . . . . . . . . . 6671--6688
Felix Finster Light-cone expansion of the Dirac sea in
the presence of chiral and scalar
potentials . . . . . . . . . . . . . . . 6689--6746
J. Guerrero and
V. Aldaya Invariant measures on polarized
submanifolds in group quantization . . . 6747--6765
Robert Lockhart Optimal ensemble length of mixed
separable states . . . . . . . . . . . . 6766--6771
K. G. H. Vollbrecht and
R. F. Werner Why two qubits are special . . . . . . . 6772--6782
J. R. Clegg and
P. K. Browning and
P. Laurence and
B. J. I. Bromage and
E. Stredulinsky On the representation of inhomogeneous
linear force-free fields . . . . . . . . 6783--6807
M. McLean and
L. K. Norris Covariant field theory on frame bundles
of fibered manifolds . . . . . . . . . . 6808--6823
Dirk Saller and
Raffaele Vitolo Symmetries in covariant classical
mechanics . . . . . . . . . . . . . . . 6824--6842
Piotr Garbaczewski and
Robert Olkiewicz Ornstein--Uhlenbeck--Cauchy process . . 6843--6860
Toru Miyazawa Generalized low-energy expansion formula
for Green's function of the
Fokker--Planck equation . . . . . . . . 6861--6878
Raymond G. McLenaghan and
Roman G. Smirnov A class of Liouville-integrable
Hamiltonian systems with two degrees of
freedom . . . . . . . . . . . . . . . . 6879--6889
Zbigniew Banach and
Slawomir Piekarski Equivalence classes of perturbations in
cosmologies of Bianchi types I and V:
Propagation and constraint equations . . 6890--6905
Martin Goliath and
Ulf S. Nilsson Isotropization of two-component fluids 6906--6917
M. T. Mustafa Applications of harmonic morphisms to
gravity . . . . . . . . . . . . . . . . 6918--6929
Arthur G. Wasserman Solutions of the spherically symmetric $
\mathit {SU}(2) $ Einstein--Yang--Mills
equations defined in the far field . . . 6930--6936
N. Askour and
Z. Mouayn Spectral decomposition and resolvent
kernel for a magnetic Laplacian in $ C^n
$ . . . . . . . . . . . . . . . . . . . 6937--6943
Luca Bombelli Statistical Lorentzian geometry and the
closeness of Lorentzian manifolds . . . 6944--6958
Andrzej Borowiec and
W\ladys\law Marcinek On crossed product of algebras . . . . . 6959--6975
Salih Çelik Differential geometry of $ \mathrm
{GL}_{p, q}(1 |1) $ . . . . . . . . . . 6976--6994
Oliver Conradt Mechanics in space and counterspace . . 6995--7028
Hubert Goenner and
Peter Havas Exact solutions of the generalized
Lane--Emden equation . . . . . . . . . . 7029--7042
Harald Grosse and
Karl-Georg Schlesinger On second quantization of quantum groups 7043--7060
Yoshimasa Matsuno Linear stability analysis for the
multikink solution of the sine-Hilbert
equation . . . . . . . . . . . . . . . . 7061--7078
Kei Miki Representations of quantum toroidal
algebra $ U_q(\mathit {sl}_{n + 1,
\mathrm {tor}}) $ $ (n \geq 2) $ . . . . 7079--7098
Abderemane Morame The absolute continuity of the spectrum
of Maxwell operator in a periodic media 7099--7108
Dennis R. Morgan A remarkable sequence derived from Euler
products . . . . . . . . . . . . . . . . 7109--7121
G. N. Parfionov and
Roman R. Zapatrin Connes duality in pseudo-Riemannian
geometry . . . . . . . . . . . . . . . . 7122--7128
Jeong-Hyuck Park Superconformal symmetry in three
dimensions . . . . . . . . . . . . . . . 7129--7161
Anton Arnold and
Horst Lange and
Paul F. Zweifel A discrete-velocity, stationary Wigner
equation . . . . . . . . . . . . . . . . 7167--7180
Alberto Barchielli and
Giancarlo Lupieri Quantum stochastic models of two-level
atoms and electromagnetic cross sections 7181--7205
Anirban Basu and
Satish D. Joglekar Nonlocal regularization for non-Abelian
gauge theories for arbitrary gauge
parameter . . . . . . . . . . . . . . . 7206--7219
V. P. Belavkin and
P. Staszewski Quantum stochastic differential equation
for unstable systems . . . . . . . . . . 7220--7233
M. C. Berg\`ere ``Composite particles'' and the
eigenstates of Calogero--Sutherland and
Ruijsenaars--Schneider . . . . . . . . . 7234--7251
M. C. Berg\`ere Fractional statistic . . . . . . . . . . 7252--7262
Catherine Bolley and
Françoise Foucher and
Bernard Helffer Superheating field for the
Ginzburg--Landau equations in the case
of a large bounded interval . . . . . . 7263--7289
Ion I. Cot\uaescu and
Ion I. Cot\uaescu, Jr. Geometric models of ($ d +
1$)-dimensional relativistic rotating
oscillators . . . . . . . . . . . . . . 7290--7293
C. Ekstrand A simple algebraic derivation of the
covariant anomaly and Schwinger term . . 7294--7303
B. Geyer and
D. Mülsch Superspace formulation of general
massive gauge theories and geometric
interpretation of mass-dependent
Becchi--Rouet--Stora--Tyutin symmetries 7304--7332
Xavier Gr\`acia and
Josep M. Pons Canonical Noether symmetries and
commutativity properties for gauge
systems . . . . . . . . . . . . . . . . 7333--7351
Pekka Lahti and
Juha-Pekka Pellonpää Characterizations of the canonical phase
observable . . . . . . . . . . . . . . . 7352--7381
Péter Lévay On the $ {\rm SU}(2) $ Kepler problem 7382--7385
Fabio Musso and
Orlando Ragnisco Exact solution of the quantum
Calogero--Gaudin system and of its $q$
deformation . . . . . . . . . . . . . . 7386--7401
Arturo Echeverria-Enríquez and
Miguel C. Muñoz-Lecanda and
Narciso Román-Roy Geometry of multisymplectic Hamiltonian
first-order field theories . . . . . . . 7402--7444
M. Chen Kinetic foundation of extended
irreversible thermodynamics . . . . . . 7445--7457
D. Semkat and
D. Kremp and
M. Bonitz Kadanoff--Baym equations and
non-Markovian Boltzmann equation in
generalized $T$-matrix approximation . . 7458--7467
K. Bering Putting an edge to the Poisson bracket 7468--7500
H. H. Dai and
Xianguo Geng On the decomposition of the modified
Kadomtsev--Petviashvili equation and
explicit solutions . . . . . . . . . . . 7501--7509
Petar Topalov Families of metrics geodesically
equivalent to the analogs of the Poisson
sphere . . . . . . . . . . . . . . . . . 7510--7520
R. Cartas-Fuentevilla Adjoint operators and perturbation
theory of black holes . . . . . . . . . 7521--7528
John L. Friedman and
Michael S. Morris Schwarzschild perturbations die in time 7529--7534
J. Gariel and
G. Marcilhacy and
N. O. Santos On the Lewis metric . . . . . . . . . . 7535--7543
L. Herrera and
J. L. Hernández Pastora Measuring multipole moments of Weyl
metrics by means of gyroscopes . . . . . 7544--7555
Dipak K. Sen Kerr and Schwarzschild black-holes in
three-dimensional relativity . . . . . . 7556--7572
Michael Tsamparlis and
Pantelis S. Apostolopoulos Symmetries of Bianchi I space--times . . 7573--7588
Sigitas Ali\usauskas The triple sum formulas for 9$j$
coefficients of $ {\rm SU}(2)$ and $
u_q(2)$ . . . . . . . . . . . . . . . . 7589--7610
L. Bégin and
C. Cummins and
P. Mathieu Generating-function method for tensor
products . . . . . . . . . . . . . . . . 7611--7639
L. Bégin and
C. Cummins and
P. Mathieu Generating-function method for fusion
rules . . . . . . . . . . . . . . . . . 7640--7674
Luc Blanchet and
Guillaume Faye Hadamard regularization . . . . . . . . 7675--7714
E. Buffenoir and
Ph. Roche Tensor product of principal unitary
representations of quantum Lorentz group
and Askey--Wilson polynomials . . . . . 7715--7751
V. K. Dobrev and
A. D. Mitov and
P. Truini Normalized $ U_q $($ s l $ (3))
Gel'fand--(Weyl)--Zetlin basis and new
summation formulas for
$q$-hypergeometric functions . . . . . . 7752--7768
Engui Fan Integrable evolution systems based on
Gerdjikov--Ivanov equations,
bi-Hamiltonian structure,
finite-dimensional integrable systems
and $N$-fold Darboux transformation . . 7769--7782
M. A. Jafarizadeh and
S. J. Akhtarshenas Generalized master function approach to
one-dimensional quasiexactly solvable
models . . . . . . . . . . . . . . . . . 7783--7796
M. Kjiri The $G$-generalized Hitchin systems and
Prym varieties . . . . . . . . . . . . . 7797--7807
R. C. McPhedran and
N. A. Nicorovici and
L. C. Botten and
K. A. Grubits Lattice sums for gratings and arrays . . 7808--7816
K. C. Pati and
B. Das Satake diagrams and Iwasawa
decomposition of twisted Kac--Moody
algebras . . . . . . . . . . . . . . . . 7817--7831
Norbert Poschadel A note on families of spin observables
and a generalization of Wigner's theorem
in $ {\cal C}^2 $ . . . . . . . . . . . 7832--7838
Dong Ruan and
Linhong Chen and
Wei Ruan Indecomposable representations of the
nonlinear Lie algebras . . . . . . . . . 7839--7853
Ya Juan Sun and
Meng Zhao Qin Construction of multisymplectic schemes
of any finite order for modified wave
equations . . . . . . . . . . . . . . . 7854--7868
A. B. Yanovski Linear bundles of Lie algebras and their
applications . . . . . . . . . . . . . . 7869--7882
John K. Boyd Erratum: ``Probability amplitude
dynamics for a two-level system'', [J.
Math. Phys. \bf 41, 4330 (2000)] . . . . 7883--7883
Y. Almog The onset of superconductivity in
semi-infinite strips . . . . . . . . . . 7889--7905
J. C. Angulo and
E. Romera and
J. S. Dehesa Inverse atomic densities and
inequalities among density functionals 7906--7917
Alexander Besch Eigenvalues in spectral gaps of the
two-dimensional Pauli operator . . . . . 7918--7931
H. A. Carteret and
A. Higuchi and
A. Sudbery Multipartite generalization of the
Schmidt decomposition . . . . . . . . . 7932--7939
G. Cassinelli and
G. M. D'Ariano and
E. De Vito and
A. Levrero Group theoretical quantum tomography . . 7940--7951
Per Olof Fröman Phase-integral formulas for quantal
matrix elements . . . . . . . . . . . . 7952--7963
J. Negro and
L. M. Nieto and
O. Rosas-Ortiz Confluent hypergeometric equations and
related solvable potentials in quantum
mechanics . . . . . . . . . . . . . . . 7964--7996
J. A. Nieto and
M. C. Marín Matroid theory and Chern--Simons . . . . 7997--8005
Jaouad Sahbani On the absolutely continuous spectrum of
Stark Hamiltonians . . . . . . . . . . . 8006--8015
Luca Salasnich Ideal quantum gases in $D$-dimensional
space and power-law potentials . . . . . 8016--8024
Michael Stone and
Kee-Su Park and
Anupam Garg The semiclassical propagator for spin
coherent states . . . . . . . . . . . . 8025--8049
Y. Strauss and
L. P. Horwitz and
E. Eisenberg Representation of quantum mechanical
resonances in the Lax--Phillips Hilbert
space . . . . . . . . . . . . . . . . . 8050--8071
Glenn Watson and
John R. Klauder Generalized affine coherent states: A
natural framework for the quantization
of metric-like variables . . . . . . . . 8072--8082
E. Deotto and
G. Furlan and
E. Gozzi A new superconformal mechanics . . . . . 8083--8107
Aidan J. Keane and
Richard K. Barrett and
John F. L. Simmons The classical Kepler problem and
geodesic motion on spaces of constant
curvature . . . . . . . . . . . . . . . 8108--8116
Jen-Hsu Chang and
Ming-Hsien Tu Poisson algebras associated with
constrained dispersionless modified
Kadomtsev--Petviashvili hierarchies . . 8117--8131
Kai Chen and
Bo-yu Hou and
Wen-Li Yang Integrability of the $ C_n $ and $ B C_n
$ Ruijsenaars--Schneider models . . . . 8132--8147
B. N. Shashikanth and
P. K. Newton Geometric phases for corotating
elliptical vortex patches . . . . . . . 8148--8162
Jaedong Choi Multiply warped products with nonsmooth
metrics . . . . . . . . . . . . . . . . 8163--8169
Gregory W. Anderson and
Tomás Blazek $ E_6 $ unification model building II.
Clebsch--Gordan coefficients of \bf $ 78
\otimes 78 $ . . . . . . . . . . . . . . 8170--8189
Shirley Bromberg and
Alberto Medina A homogeneous space--time model with
singularities . . . . . . . . . . . . . 8190--8195
Jin-Quan Chen and
Peng-Dong Fan and
Luke McAven and
Philip Butler Algebraic solutions for all dihedral
groups . . . . . . . . . . . . . . . . . 8196--8222
D. Eidus A parametric limiting absorption problem
with degeneration . . . . . . . . . . . 8223--8235
J. C. Eilbeck and
V. Z. Enolskii and
N. A. Kostov Quasiperiodic and periodic solutions for
vector nonlinear Schrödinger equations 8236--8248
R. L. Hudson and
S. Pulmannová Symmetrized double quantum stochastic
product integrals . . . . . . . . . . . 8249--8262
Palle E. T. Jorgensen and
Steen Pedersen Commuting self-adjoint extensions of
symmetric operators defined from the
partial derivatives . . . . . . . . . . 8263--8278
Keng-Huat Kwek and
Hongjun Gao and
Weinian Zhang and
Chaochun Qu An initial boundary value problem of
Camassa--Holm equation . . . . . . . . . 8279--8285
Sen-yue Lou and
Xiao-yan Tang and
Ji Lin Similarity and conditional similarity
reductions of a $ (2 + 1)$-dimensional
KdV equation via a direct method . . . . 8286--8303
B. D. Mestel and
A. H. Osbaldestin and
B. Winn Golden mean renormalization for the
Harper equation: The strong coupling
fixed point . . . . . . . . . . . . . . 8304--8330
G. Scolarici and
L. Solombrino Central projective quaternionic
representations . . . . . . . . . . . . 8331--8338
Katsuyuki Sugiyama Kähler potential of moduli space of
Calabi--Yau $d$-fold embedded in $ C P^d
+ 1$ . . . . . . . . . . . . . . . . . . 8339--8348
David L. Aronstein and
C. R. Stroud, Jr. Comment on ``On the energy levels of a
finite square-well potential'', [J.
Math. Phys. \bf 41, 4551 (2000)] . . . . 8349--8350
M. Halilsoy Comment on ``Colliding null shells of
matter'', [J. Math. Phys. \bf 33, 1065
(1992)] . . . . . . . . . . . . . . . . 8351--8353
Anzhong Wang Response to ``Comment on `Colliding null
shells of matter'\,'', [J. Math. Phys.
\bf 41, 8351 (2000)] . . . . . . . . . . 8354--8355
J. E. Avron and
L. Sadun Fredholm indices and the phase diagram
of quantum Hall systems . . . . . . . . 1--14
John K. Boyd One-dimensional crystal with a complex
periodic potential . . . . . . . . . . . 15--29
M. N. Hounkonnou and
G. Y. H. Avossevou Spectral and resonance properties of $
\delta $- and $ \delta^{\prime }$-type
interactions in relativistic quantum
mechanics . . . . . . . . . . . . . . . 30--51
Florian Jasch and
Hagen Kleinert Fast-convergent resummation algorithm
and critical exponents of $
\phi^4$-theory in three dimensions . . . 52--73
Ralf Kähler and
Hans-Werner Wiesbrock Modular theory and the reconstruction of
four-dimensional quantum field theories 74--86
Christopher King and
Mary Beth Ruskai Capacity of quantum channels using
product measurements . . . . . . . . . . 87--98
S. Nagamachi and
E. Brüning Hyperfunction quantum field theory:
Analytic structure, modular aspects, and
local observable algebras . . . . . . . 99--129
A. Sako and
T. Sasaki Euler number of instanton moduli space
and Seiberg--Witten invariants . . . . . 130--157
Cornelis van der Mee and
Vjacheslav Pivovarchik Inverse scattering for a Schrödinger
equation with energy dependent potential 158--181
J. Burzlaff and
E. Kellegher Expansion in the distance parameter for
two vortices close together . . . . . . 182--191
Weimin Jin and
Peter Sternberg Energy estimates for the von Kármán model
of thin-film blistering . . . . . . . . 192--199
D. Schertzer and
M. Larchevêque and
J. Duan and
V. V. Yanovsky and
S. Lovejoy Fractional Fokker--Planck equation for
nonlinear stochastic differential
equations driven by non-Gaussian Lévy
stable noises . . . . . . . . . . . . . 200--212
Malcolm R. Adams and
Sasa Kresic-Juric Hamiltonians and zero-curvature
equations for integrable partial
differential equations . . . . . . . . . 213--224
Maciej Blaszak and
Andrzej Szum Lie algebraic approach to the
construction of $ (2 + 1)$-dimensional
lattice-field and field integrable
Hamiltonian equations . . . . . . . . . 225--259
Chandrashekar Devchand and
Jeremy Schiff The supersymmetric Camassa--Holm
equation and geodesic flow on the
superconformal group . . . . . . . . . . 260--273
G. Hatayama and
K. Hikami and
R. Inoue and
A. Kuniba and
T. Takagi and
T. Tokihiro The $ {A^{(1)}_M} $ automata related to
crystals of symmetric tensors . . . . . 274--308
F. Pugliese and
A. M. Vinogradov Discontinuous trajectories of Lagrangian
systems with singular hypersurface . . . 309--329
Zhen-ya Yan and
Hong-qing Zhang A hierarchy of generalized AKNS
equations, $N$-Hamiltonian structures
and finite-dimensional involutive
systems and integrable systems . . . . . 330--339
David R. Finkelstein and
Andrei A. Galiautdinov and
James E. Baugh Unimodular relativity and cosmological
constant . . . . . . . . . . . . . . . . 340--346
G. S. Hall and
S. Khan Projective symmetry in null
Einstein--Maxwell space--times . . . . . 347--354
Andrzej Krasinski Rotating Bianchi type $V$ dust models
generalizing the $ k = - 1$ Friedmann
model . . . . . . . . . . . . . . . . . 355--367
Gilberto Silva-Ortigoza The method of adjoint operators and a
symmetry operator for the Maxwell
equations in type-D vacuum backgrounds 368--375
P. Basarab-Horwath and
R. Z. Zhdanov Initial-value problems for evolutionary
partial differential equations and
higher-order conditional symmetries . . 376--389
M. J. Craddock and
A. H. Dooley Symmetry group methods for heat kernels 390--418
J. A. de Azcárraga and
A. J. Macfarlane Optimally defined Racah--Casimir
operators for su$ (n) $ and their
eigenvalues for various classes of
representations . . . . . . . . . . . . 419--433
J. S. Dowker and
Klaus Kirsten Smeared heat-kernel coefficients on the
ball and generalized cone . . . . . . . 434--452
D. B. Fairlie and
A. N. Leznov The complex Bateman equation in a space
of arbitrary dimension . . . . . . . . . 453--462
Ya-Jun Gao and
Yuan-Xing Gui Differential calculuses on the quantized
braided groups . . . . . . . . . . . . . 463--471
M. Havlícek and
S. Posta On the classification of irreducible
finite-dimensional representations of $
U_q'({\rm so}_3) $ algebra . . . . . . . 472--500
P. C. Moan and
J. A. Oteo Convergence of the exponential Lie
series . . . . . . . . . . . . . . . . . 501--508
H. Montani and
R. Trinchero Nonstandard comodules for quantum matrix
bialgebras . . . . . . . . . . . . . . . 509--525
Elena Poletaeva A spinor-like representation of the
contact superconformal algebra $
K^{\prime }(4) $ . . . . . . . . . . . . 526--540
S. A. Baran and
A. Dalgic and
G. A. Kerimov On solvable potentials related to $ {\rm
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E. R. Bezerra de Mello and
V. B. Bezerra and
N. R. Khusnutdinov Ground state energy of massive scalar
field inside a spherical region in the
global monopole background . . . . . . . 562--581
F. Boniver and
P. Mathonet Maximal subalgebras of vector fields for
equivariant quantizations . . . . . . . 582--589
E. V. Ferapontov and
A. P. Veselov Integrable Schrödinger operators with
magnetic fields: Factorization method on
curved surfaces . . . . . . . . . . . . 590--607
Stefan Giller and
Piotr Milczarski Borel summable solutions to
one-dimensional Schrödinger equation . . 608--640
J. Manjavidze and
A. Sissakian Quantization of solitons in coset space 641--658
M. B. Sheftel and
P. Tempesta and
P. Winternitz Superintegrable systems in quantum
mechanics and classical Lie theory . . . 659--673
A. S. Wightman Three formulas for the off-diagonal
density matrix of a Dirac spinor, with
an application . . . . . . . . . . . . . 674--685
M. Battezzati An expansion of general validity for the
diffusive parameters of a charged
particle in a zero-point field . . . . . 686--697
Liam M. Healy Computation of Lie transfer maps for
perturbed Hamiltonian systems . . . . . 698--712
Dionisios Margetis and
Tai Tsun Wu Exactly calculable field components of
electric dipoles in planar boundary . . 713--745
M. C. Nucci and
P. G. L. Leach The harmony in the Kepler and related
problems . . . . . . . . . . . . . . . . 746--764
Shi-Jian Gu and
You-Quan Li and
Zu-Jian Ying Thermodynamics of trapped interacting
bosons in one dimension . . . . . . . . 765--772
Peter Constantin and
Chris Hallstrom and
Vachtang Poutkaradze Logarithmic bounds for infinite Prandtl
number rotating convection . . . . . . . 773--783
Charles R. Doering and
Peter Constantin On upper bounds for infinite Prandtl
number convection with or without
rotation . . . . . . . . . . . . . . . . 784--795
Kathleen Feigl and
Hans Christian Öttinger The equivalence of the class of
Rivlin--Sawyers equations and a class of
stochastic models for polymer stress . . 796--817
Clarissa-Marie Claudel and
K. S. Virbhadra and
G. F. R. Ellis The geometry of photon surfaces . . . . 818--838
L. Fernández-Jambrina and
C. Hoenselaers High order relativistic corrections to
Keplerian motion . . . . . . . . . . . . 839--855
Zdzislaw A. Golda and
Andrzej Woszczyna Acoustics of early universe --- Lifshitz
versus gauge-invariant theories . . . . 856--862
D. E. Hodgkinson Petrov type $D$ Einstein space--times of
embedding class two . . . . . . . . . . 863--875
Jason Cantarella and
Dennis DeTurck and
Herman Gluck The Biot--Savart operator for
application to knot theory, fluid
dynamics, and plasma physics . . . . . . 876--905
Shun-Jen Cheng and
Ngau Lam Finite conformal modules over $ N = 2,
3, 4 $ superconformal algebras . . . . . 906--933
Ya-Jun Gao and
Yuan-Xing Gui Braided coaddition on the quantized
braided matrices . . . . . . . . . . . . 934--944
Hugo Leiva Bounded solutions of a second order
evolution equation and applications . . 945--952
Daniel A. Morales A mathematical proof of a result derived
from the application of the
Thompson--Lampard theorem of
electrostatics . . . . . . . . . . . . . 953--965
J. Morales and
J. J. Peña and
J. L. López-Bonilla Generalization of the Darboux transform 966--975
Stephen L. Adler and
Lawrence P. Horwitz Erratum: ``Structure and properties of
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A. J. Macfarlane and
Hendryk Pfeiffer Erratum: ``On characteristic equations,
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Phys. \bf 41, 3192--3225 (2000)] . . . . 977--977
Norbert Poschadel Erratum: ``A note on families of spin
observables and a generalization of
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Nuno Barros e Sá Uncertainty for spin systems . . . . . . 981--990
V. Dmitrasinovic Three-quark exchange operators, crossing
matrices and Fierz transformations in $
{\rm SU}(2) $ and $ {\rm SU}(3) $ . . . 991--995
A. J. Fendrik and
M. J. Sánchez Towards an analytical formula for the
eigenvalues of the Aharonov--Bohm
annular billiard . . . . . . . . . . . . 996--1005
C. Hertfelder and
B. Kümmerer Classical analogs of quasifree quantum
stochastic processes given by stochastic
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V. Kotecha and
R. S. Ward Integrable Yang--Mills--Higgs equations
in three-dimensional de Sitter
space--time . . . . . . . . . . . . . . 1018--1025
Joachim Kupsch and
Oleg G. Smolyanov and
Nadejda A. Sidorova States of quantum systems and their
liftings . . . . . . . . . . . . . . . . 1026--1037
Manabu Miyamoto A generalized Weyl relation approach to
the time operator and its connection to
the survival probability . . . . . . . . 1038--1052
Kh. Nouicer and
L. Chetouani Path integral for relativistic
Aharonov--Bohm--Coulomb system on the
pseudo-sphere . . . . . . . . . . . . . 1053--1065
H. J. Wospakrik and
W. J. Zakrzewski Alternative $ {\rm SU}(N) $ Skyrme
models and their solutions . . . . . . . 1066--1084
Zixiang Zhou Solutions of the Yang--Mills--Higgs
equations in $ 2 + 1$-dimensional
anti-de Sitter space--time . . . . . . . 1085--1099
C. Daskaloyannis Quadratic Poisson algebras of
two-dimensional classical
superintegrable systems and quadratic
associative algebras of quantum
superintegrable systems . . . . . . . . 1100--1119
Masami Wakano and
John A. Wheeler Asymptotics of electromagnetic radiation
off a spherical superconductor . . . . . 1120--1147
Kwok Sau Fa and
E. K. Lenzi Exact equation of state for
2-dimensional gravitating system within
Tsallis statistical mechanics . . . . . 1148--1153
Shuxing Chen How does a shock in supersonic flow grow
out of smooth data? . . . . . . . . . . 1154--1172
L. Fatibene and
M. Ferraris and
M. Francaviglia and
M. Raiteri Nöther charges, Brown--York quasilocal
energy, and related topics . . . . . . . 1173--1195
Alexander N. Linden Far field behavior of noncompact static
spherically symmetric solutions of
Einstein $ {\rm SU}(2) $ Yang Mills
equations . . . . . . . . . . . . . . . 1196--1201
Yu. Melnikov and
B. Pavlov Scattering on graphs and one-dimensional
approximations to $N$-dimensional
Schrödinger operators . . . . . . . . . . 1202--1228
S. K. Moayedi and
F. Darabi Families of exact solutions of a
two-dimensional gravity model minimally
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B. L. Aneva and
D. Arnaudon and
A. Chakrabarti and
V. K. Dobrev and
S. G. Mihov On combined standard--nonstandard or
hybrid $ (q, h)$-deformations . . . . . 1236--1249
P. Bracken and
A. M. Grundland Symmetry properties and explicit
solutions of the generalized Weierstrass
system . . . . . . . . . . . . . . . . . 1250--1282
Salih Çelik Differential geometry of $ {\rm GL}_h(1
|1) $ . . . . . . . . . . . . . . . . . 1283--1295
Franco Fagnola and
Rolando Rebolledo On the existence of stationary states
for quantum dynamical semigroups . . . . 1296--1308
M. Gürses and
K. Zheltukhin Recursion operators of some equations of
hydrodynamic type . . . . . . . . . . . 1309--1325
N. Z. Iorgov and
A. U. Klimyk The $q$-Laplace operator and
$q$-harmonic polynomials on the quantum
vector space . . . . . . . . . . . . . . 1326--1345
William P. Joyce Diagram projection rules for recoupling
diagrams in the Racah--Wigner category 1346--1363
Rémi Léandre Quotient of a loop group and Witten
genus . . . . . . . . . . . . . . . . . 1364--1383
A. N. Leznov To the Gel'fand--Tsetlin realization of
irreducible representations of classical
semisimple algebras . . . . . . . . . . 1384--1396
L. Martina and
Kur. Myrzakul and
R. Myrzakulov and
G. Soliani Deformation of surfaces, integrable
systems, and Chern--Simons theory . . . 1397--1417
Jan Milewski and
Tadeusz Lulek Harmonic functions and angular momentum
for anyon systems . . . . . . . . . . . 1418--1425
Omar E. Ortiz Stability of nonconservative hyperbolic
systems and relativistic dissipative
fluids . . . . . . . . . . . . . . . . . 1426--1442
Kanehisa Takasaki Painlevé--Calogero correspondence
revisited . . . . . . . . . . . . . . . 1443--1473
E. Zakhary and
J. Carminati On the problem of algebraic completeness
for the invariants of the Riemann
tensor: I . . . . . . . . . . . . . . . 1474--1485
James Baugh and
David Ritz Finkelstein and
Andrei Galiautdinov and
Heinrich Saller Clifford algebra as quantum language . . 1489--1500
J. S. Dowker Magnetic fields and factored two-spheres 1501--1532
Yu. M. Gufan and
Al. V. Popov and
G. Sartori and
V. Talamini and
G. Valente and
E. B. Vinberg Geometric invariant theory approach to
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$D$-wave condensates in isotropic space 1533--1562
V. Kostrykin and
R. Schrader The generalized star product and the
factorization of scattering matrices on
graphs . . . . . . . . . . . . . . . . . 1563--1598
G. C. Marques and
D. Spehler Chirality in the context of spin $ (3 /
2) $ particles . . . . . . . . . . . . . 1599--1611
Josselin Garnier High-frequency asymptotics for Maxwell's
equations in anisotropic media Part I:
Linear geometric and diffractive optics 1612--1635
Josselin Garnier High-frequency asymptotics for Maxwell's
equations in anisotropic media. Part II:
Nonlinear propagation and frequency
conversion . . . . . . . . . . . . . . . 1636--1654
Wayne Lawton and
Lyle Noakes Computing the inertia operator of a
rigid body . . . . . . . . . . . . . . . 1655--1665
A. G. Nikitin and
R. J. Wiltshire Systems of reaction diffusion equations
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Luiz C. L. Botelho Statistical turbulence suppression by a
strong magnetic field: A Feynman path
integral argument . . . . . . . . . . . 1689--1696
Pilar R. Gordoa and
Andrew Pickering New integrable equations of fourth order
and higher degree related to Cosgrove's
equation . . . . . . . . . . . . . . . . 1697--1707
Roman Kozlov Conservation laws of semidiscrete
Hamiltonian equations . . . . . . . . . 1708--1727
Andrzej J. Maciejewski and
Jean-Marie Strelcyn and
Marek Szydlowski Nonintegrability of Bianchi VIII
Hamiltonian system . . . . . . . . . . . 1728--1743
Yoshimasa Matsuno Reduction of dispersionless coupled
Korteweg--de Vries equations to the
Euler--Darboux equation . . . . . . . . 1744--1760
J. Carrero Lie aspects of the dynamics of
self-gravitating ellipsoids in $n$
dimensions . . . . . . . . . . . . . . . 1761--1778
Piotr T. Chrusciel and
Walter Simon Towards the classification of static
vacuum spacetimes with negative
cosmological constant . . . . . . . . . 1779--1817
Neal Dalal and
Jeffrey M. Rabin Magnification relations in gravitational
lensing via multidimensional residue
integrals . . . . . . . . . . . . . . . 1818--1836
Hubert Goenner and
Peter Havas Spherically symmetric space--times with
constant curvature scalar . . . . . . . 1837--1859
T. M. Garoni and
N. E. Frankel and
M. L. Glasser Complete asymptotic expansions of the
Fermi--Dirac integrals $ \mathcal
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D. J. Hurley and
M. A. Vandyck A unified framework for Lie and
covariant differentiation (with
application to tensor fields) . . . . . 1869--1886
Marc Lesimple and
Georges Pinczon Deformations of the metaplectic
representations . . . . . . . . . . . . 1887--1899
Yu. Melnikov On the concentration of the spectrum of
integral-difference collision operator
with Gaussian equilibrium distribution
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Lajos Molnár and
Zsolt Páles $ \perp $-order automorphisms of Hilbert
space effect algebras: The
two-dimensional case . . . . . . . . . . 1907--1912
Radoslaw Przybysz On one class of exact Poisson structures 1913--1920
Michael D. Thorsley and
Marita C. Chidichimo An asymptotic expansion for the
hypergeometric function $_2 F_1 (a, b;
c; x)$ . . . . . . . . . . . . . . . . . 1921--1930
V. G. Bagrov and
D. M. Gitman and
V. B. Tlyachev Solutions of relativistic wave equations
in superpositions of Aharonov--Bohm,
magnetic, and electric fields . . . . . 1933--1959
Carl M. Bender and
Stefan Boettcher and
H. F. Jones and
Peter N. Meisinger Double-scaling limit of a broken
symmetry quantum field theory in
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V. V. Nesterenko and
G. Lambiase and
G. Scarpetta Casimir energy of a semi-circular
infinite cylinder . . . . . . . . . . . 1974--1986
A. Ya. Povzner and
Yu. A. Kukharenko Perturbation theory and the energy
spectrum of normal Fermi systems . . . . 1987--1995
Rajkumar Roychoudhury and
Pinaki Roy and
Miloslav Znojil and
Géza Lévai Comprehensive analysis of conditionally
exactly solvable models . . . . . . . . 1996--2007
E. Strahov Berry's phase for compact Lie groups . . 2008--2022
Clasine van Winter Chaotic and irreversible properties of
quantum scattering systems . . . . . . . 2023--2054
C. P. Viazminsky and
James P. Vary On mathematical structure of effective
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S. Benenti and
C. Chanu and
G. Rastelli Variable separation for natural
Hamiltonians with scalar and vector
potentials on Riemannian manifolds . . . 2065--2091
Manuel de León and
Eugenio Merino and
Modesto Salgado $k$-cosymplectic manifolds and
Lagrangian field theories . . . . . . . 2092--2104
Q. P. Liu Miura map between lattice
Kadomtsev--Petviashvili and its
modification is canonical . . . . . . . 2105--2112
Yunbo Zeng and
Wen-Xiu Ma and
Yijun Shao Two binary Darboux transformations for
the KdV hierarchy with self-consistent
sources . . . . . . . . . . . . . . . . 2113--2128
L. Herrera and
A. Di Prisco and
J. Ospino and
E. Fuenmayor Conformally flat anisotropic spheres in
general relativity . . . . . . . . . . . 2129--2143
Anton Alekseev and
Volker Schomerus and
Thomas Strobl Closed constraint algebras and path
integrals for loop group actions . . . . 2144--2155
E. J. Beggs and
P. R. Johnson The braiding for representations of
$q$-deformed affine $ s l_2$ . . . . . . 2156--2166
Carl M. Bender and
Ernst Joachim Weniger Numerical evidence that the perturbation
expansion for a non-Hermitian $ \mathscr
{P} \mathscr {T} $-symmetric Hamiltonian
is Stieltjes . . . . . . . . . . . . . . 2167--2183
Massimo Bertini and
Diego Noja and
Andrea Posilicano Wave equations with point interactions
in finite energy spaces . . . . . . . . 2184--2202
Kathleen Cottrill-Shepherd and
Mark Naber Fractional differential forms . . . . . 2203--2212
Jian Dai and
Xing-Chang Song Structure and representation theory for
the double group of the four-dimensional
cubic group . . . . . . . . . . . . . . 2213--2235
Stefano De Leo and
Gisele Ducati Quaternionic differential operators . . 2236--2265
Ryad Ghanam and
G. Thompson The holonomy Lie algebras of neutral
metrics in dimension four . . . . . . . 2266--2284
Z. Lipinski Yangian construction of a centrally
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Kei Miki Quantum toroidal algebra $ U_q({\rm
sl}_{2, {\rm tor}}) $ and $R$ matrices 2293--2308
E. Romera and
J. C. Angulo and
J. S. Dehesa The Hausdorff entropic moment problem 2309--2314
D. J. Rowe and
H. de Guise and
B. C. Sanders Asymptotic limits of $ {\rm SU}(2) $ and
$ {\rm SU}(3) $ Wigner functions . . . . 2315--2342
Xianzhe Dai and
Daniel S. Freed Erratum: ``$ \eta $-invariants and
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Tommy Ohlsson and
Håkan Snellman Erratum: ``Three flavor neutrino
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J.-P. Antoine and
J.-P. Gazeau and
P. Monceau and
J. R. Klauder and
K. A. Penson Temporally stable coherent states for
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M. Arik and
A. S. Arikan Stereographic variables for
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$q$-oscillators . . . . . . . . . . . . 2388--2395
Thomas Curtright and
Tsuneo Uematsu and
Cosmas Zachos Generating all Wigner functions . . . . 2396--2415
H. Fakhri and
N. Abbasi Exact solution of the Dirac equation for
a spin-($ 1 / 2$) charged particle in
two-dimensional and three-dimensional
Euclidean spaces with shape invariance
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Michael J. Gruber Noncommutative Bloch theory . . . . . . 2438--2465
Guang-Liang Li and
Rui-Hong Yue and
Kang-Jie Shi Coordinate Bethe ansatz for the
one-dimensional $ {\rm SU}(n) $ Hubbard
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S. Mazzucchi On the observables describing a quantum
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A. K. Motovilov and
W. Sandhas and
V. B. Belyaev Perturbation of a lattice spectral band
by a nearby resonance . . . . . . . . . 2490--2506
Oliver Rudolph A uniqueness theorem for entanglement
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K. C. Shin On the eigenproblems of $ \mathscr {PT}
$-symmetric oscillators . . . . . . . . 2513--2530
M. Chen Symmetry transformations in extended
irreversible thermodynamics . . . . . . 2531--2539
Masatoshi Shiino Free energies based on generalized
entropies and H-theorems for nonlinear
Fokker--Planck equations . . . . . . . . 2540--2553
Shi-Rong Chen and
Nian-Ning Huang A simple treatment of the sine-Gordon
equation . . . . . . . . . . . . . . . . 2554--2566
J. M. Dye and
A. Parker On bidirectional fifth-order nonlinear
evolution equations, Lax pairs, and
directionally dependent solitary waves 2567--2589
Valentin D. Gladush On the variational principle for dust
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Ehliman Adigüzelov and
Hamit Avci and
Erdal Gül The trace formula for Sturm--Liouville
operator with operator coefficient . . . 2611--2624
S. Andrea and
A. Restuccia and
A. Sotomayor An operator valued extension of the
super Korteweg--de Vries equations . . . 2625--2634
F. Calogero and
A. Degasperis and
Ji Xiaoda Nonlinear Schrödinger-type equations from
multiscale reduction of PDEs. II.
Necessary conditions of integrability
for real PDEs . . . . . . . . . . . . . 2635--2652
A. Chakrabarti \em RTT relations, a modified braid
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Hubert Kalf and
Osanobu Yamada Essential self-adjointness of
$n$-dimensional Dirac operators with a
variable mass term . . . . . . . . . . . 2667--2676
Eunsang Kim and
Hoil Kim and
Chang-Yeong Lee Matrix theory compactification on
noncommutative $ \mathbb {T}^4 / \mathbb
{Z}_2 $ . . . . . . . . . . . . . . . . 2677--2688
Attilio Maccari A class of integrable Davey--Stewartson
type systems . . . . . . . . . . . . . . 2689--2700
Andrzej J. Maciejewski and
Sasho Ivanov Popov and
Jean-Marie Strelcyn The Euler equations on Lie algebra $
{\rm so}(4) $: An elementary approach to
integrability condition . . . . . . . . 2701--2717
Dong Ruan and
Yufeng Jia and
Wei Ruan Boson and differential realizations of
polynomial angular momentum algebra . . 2718--2724
Youichi Shibukawa Classification of $R$-operators . . . . 2725--2745
A. W. Sáenz Erratum: ``Dynamics of axial channeling
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S. S. Gubser and
S. Gukov and
I. R. Klebanov and
M. Rangamani and
E. Witten The Hagedorn transition in
noncommutative open string theory . . . 2749--2764
Jeffrey A. Harvey and
Gregory Moore Noncommutative tachyons and K-theory . . 2765--2780
Robert Myers Non-Abelian D-branes and noncommutative
geometry . . . . . . . . . . . . . . . . 2781--2797
Cumrun Vafa Superstrings and topological strings at
large $N$ . . . . . . . . . . . . . . . 2798--2817
Michael R. Douglas $D$-branes, categories and $ \mathscr
{N} = 1$ supersymmetry . . . . . . . . . 2818--2843
Ashoke Sen Fundamental strings in open string
theory at the tachyonic vacuum . . . . . 2844--2853
A. A. Tseytlin Sigma model approach to string theory
effective actions with tachyons . . . . 2854--2871
E. A. Bergshoeff and
M. de Roo and
A. Sevrin Non-Abelian Born--Infeld and
kappa-symmetry . . . . . . . . . . . . . 2872--2888
John H. Schwarz The future of string theory . . . . . . 2889--2895
Nadav Drukker and
David J. Gross An exact prediction of $ \mathscr {N} =
4 $ supersymmetric Yang--Mills theory
for string theory . . . . . . . . . . . 2896--2914
Paul H. Frampton Finite $N$ AdS/CFT correspondence for
Abelian and non-Abelian orbifolds, and
gauge coupling unification . . . . . . . 2915--2928
Juan Maldacena and
Hirosi Ooguri Strings in $A$ $d$ $ S_3$ and the $ {\rm
SL}(2, R)$ WZW model. I: The spectrum 2929--2960
Juan Maldacena and
Hirosi Ooguri and
John Son Strings in $ A d S_3 $ and the $ {\rm
SL}(2, R) $ WZW model. II: Euclidean
black hole . . . . . . . . . . . . . . . 2961--2977
L. Dolan Vertex operators for AdS3 with Ramond
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R. R. Metsaev and
A. A. Tseytlin Superparticle and superstring in $ A d
S_3 \times S^3 $ Ramond--Ramond
background in the light-cone gauge . . . 2987--3014
Sergio Ferrara and
Emery Sokatchev Representations of superconformal
algebras in the $ {\rm AdS}_{7 / 4} /
{\rm CFT}_{6 / 3} $ correspondence . . . 3015--3026
M. J. Duff and
James T. Liu and
K. S. Stelle A supersymmetric type IIB
Randall--Sundrum realization . . . . . . 3027--3047
M. Cvetic and
H. Lü and
C. N. Pope Brane-world Kaluza--Klein reductions and
branes on the brane . . . . . . . . . . 3048--3070
Renata Kallosh and
Thomas Mohaupt and
Marina Shmakova Excision of singularities by stringy
domain walls . . . . . . . . . . . . . . 3071--3081
Steven B. Giddings and
Emanuel Katz Effective theories and black hole
production in warped compactifications 3082--3102
G. Aldazabal and
S. Franco and
L. E. Ibáñez and
R. Rabadán and
A. M. Uranga $ D = 4 $ chiral string
compactifications from intersecting
branes . . . . . . . . . . . . . . . . . 3103--3126
Jaume Gomis and
Hirosi Ooguri Nonrelativistic closed string theory . . 3127--3151
Gary T. Horowitz and
Leonard Susskind Bosonic M theory . . . . . . . . . . . . 3152--3160
Eva Silverstein Extended objects from warped
compactifications of M theory . . . . . 3161--3170
Brian R. Greene and
Koenraad Schalm and
Gary Shiu Dynamical topology change in M theory 3171--3187
G. W. Gibbons and
P. C. West The metric and strong coupling limit of
the M5-brane . . . . . . . . . . . . . . 3188--3208
Michael Atiyah and
Juan Maldacena and
Cumrun Vafa An $M$-theory flop as a large $N$
duality . . . . . . . . . . . . . . . . 3209--3220
Charis Anastopoulos Continuous-time histories: Observables,
probabilities, phase space structure and
the classical limit . . . . . . . . . . 3225--3259
C. G. Beneventano and
E. M. Santangelo Effective action for $ {\rm QED}_4 $
through $ \zeta $ function
regularization . . . . . . . . . . . . . 3260--3269
Y. Brihaye and
B. Hartmann and
D. H. Tchrakian Monopoles and dyons in $ {\rm SO}(3) $
gauged Skyrme models . . . . . . . . . . 3270--3281
A. Chodos and
G. Gallatin Generalized Goldstone theorem: Automatic
imposition of the Higgs mechanism and
application to scale and conformal
symmetry breaking . . . . . . . . . . . 3282--3291
Óscar J. C. Dias and
José P. S. Lemos False vacuum decay: Effective one-loop
action for pair creation of domain walls 3292--3298
David R. Finkelstein and
Andrei A. Galiautdinov Cliffordons . . . . . . . . . . . . . . 3299--3314
M. A. Grigoriev and
A. M. Semikhatov and
I. Yu. Tipunin Becchi--Rouet--Stora--Tyutin formalism
and zero locus reduction . . . . . . . . 3315--3333
Masao Hirokawa and
Osamu Ogurisu Ground state of a spin-$ 1 / 2 $ charged
particle in a two-dimensional magnetic
field . . . . . . . . . . . . . . . . . 3334--3343
S. Kuru and
A. Tegmen and
A. Verçin Intertwined isospectral potentials in an
arbitrary dimension . . . . . . . . . . 3344--3360
N. H. March and
L. M. Nieto Functional differentiation, line
integration, and departures from
homogeneity of the single-particle
kinetic energy functional for
one-dimensional systems of $N$ fermions 3361--3371
Ali Mostafazadeh Variational Sturmian approximation: A
nonperturbative method of solving
time-independent Schrödinger equation . . 3372--3389
E. Prodan and
P. Nordlander Hartree approximation I: The fixed point
approach . . . . . . . . . . . . . . . . 3390--3406
E. Prodan and
P. Nordlander Hartree approximation II: The
thermodynamic limit . . . . . . . . . . 3407--3423
E. Prodan and
P. Nordlander Hartree approximation III: Symmetry
breaking . . . . . . . . . . . . . . . . 3424--3438
T. Richter and
H. Schulz-Baldes Homotopy arguments for quantized Hall
conductivity . . . . . . . . . . . . . . 3439--3444
Nuno M. Romão Quantum Chern--Simons vortices on a
sphere . . . . . . . . . . . . . . . . . 3445--3469
Michael D. Thorsley and
Marita C. Chidichimo Semiclassical Coulomb differential
excitation function: Asymptotic
expansions . . . . . . . . . . . . . . . 3470--3496
Daniela Garajeu and
Annamaria Kiss Singular and nonsingular eigenvectors
for the Gaudin model . . . . . . . . . . 3497--3516
S. Bourque and
P. Mathieu The Painlevé analysis for $ N = 2 $ super
Korteweg--de Vries equations . . . . . . 3517--3539
Alex Kasman and
Michael Gekhtman Solitons and almost-intertwining
matrices . . . . . . . . . . . . . . . . 3540--3551
Yanguang (Charles) Li A Lax pair for the two dimensional Euler
equation . . . . . . . . . . . . . . . . 3552--3553
Qi-Yan Shi Finite-dimensional integrable systems
related to the $n$-wave interaction
equations . . . . . . . . . . . . . . . 3554--3564
Ingemar Bengtsson and
Johan Brännlund $ 2 + 1 $ gravity, chaos and time
machines . . . . . . . . . . . . . . . . 3565--3579
T. Christodoulakis and
G. Kofinas and
E. Korfiatis and
G. O. Papadopoulos and
A. Paschos Time-dependent automorphism inducing
diffeomorphisms in vacuum Bianchi
cosmologies and the complete closed form
solutions for types II and V . . . . . . 3580--3608
Andrew Dancer and
McKenzie Y. Wang Ricci-flat warped products and Painlevé
analysis . . . . . . . . . . . . . . . . 3609--3614
F. Khelili and
J. Mimouni and
N. Mebarki Nonsymmetric gravitation theory in
noncommutative geometry . . . . . . . . 3615--3627
Andrzej Krasinski Friedmann limits of rotating
hypersurface--homogeneous dust models 3628--3664
X. F. Liu and
C. P. Sun Consequences of 't Hooft's equivalence
class theory and symmetry by coarse
graining . . . . . . . . . . . . . . . . 3665--3672
Igor Anders and
Anne Boutet de Monvel Soliton asymptotics of nondecaying
solutions of the modified
Kadomtsev--Petviashvili--I equation . . 3673--3690
Takashi Aoki and
Takahiro Kawai and
Yoshitsugu Takei On the exact steepest descent method: A
new method for the description of Stokes
curves . . . . . . . . . . . . . . . . . 3691--3713
M. A. Barco An application of solvable structures to
classical and nonclassical similarity
solutions . . . . . . . . . . . . . . . 3714--3734
Carina Boyallian and
Jose I. Liberati Classical Lie subalgebras of the Lie
algebra of matrix differential operators
on the circle . . . . . . . . . . . . . 3735--3753
G. Chistyakov and
Yu. Lyubarskii and
L. Pastur On completeness of random exponentials
in the Bargmann--Fock space . . . . . . 3754--3768
Bergfinnur Durhuus and
Thordur Jonsson Discrete approximations to integrals
over unparametrized paths . . . . . . . 3769--3788
Robert Geroch and
G. Nagy and
O. Reula Relativistic Lagrange formulation . . . 3789--3808
Gueo Grantcharov and
Liviu Ornea Reduction of Sasakian manifolds . . . . 3809--3816
H. P. Jakobsen and
C.-W. H. Lee Unitary irreducible representations of a
Lie algebra for matrix chain models . . 3817--3838
Jirí Patera and
Edita Pelantová and
Milena Svobodová Fine gradings of $ o(5, \mathscr {C}) $,
$ {\rm sp}(4, \mathscr {C}) $ and of
their real forms . . . . . . . . . . . . 3839--3853
R. Sahadevan and
S. Khousalya Similarity reduction, generalized
symmetries and integrability of
Belov--Chaltikian and Blaszak--Marciniak
lattice equations . . . . . . . . . . . 3854--3870
M. Scheunert and
R. B. Zhang Invariant integration on classical and
quantum Lie supergroups . . . . . . . . 3871--3897
Peter Topalov Geodesic hierarchies and involutivity 3898--3914
L. A. Wills-Toro Trefoil symmetries I. Clover extensions
beyond Coleman--Mandula theorem . . . . 3915--3934
L. A. Wills-Toro and
L. A. Sánchez and
J. M. Osorio and
D. E. Jaramillo Trefoil symmetry II. Another clover
extension . . . . . . . . . . . . . . . 3935--3946
L. A. Wills-Toro Trefoil symmetry III. The full clover
extension . . . . . . . . . . . . . . . 3947--3964
Liu Ximin Space-like hypersurfaces in the de
Sitter spaces . . . . . . . . . . . . . 3965--3972
J. H. Hannay Comment on ``Method of handling the
divergences in the radiation theory of
sources that move faster than their
waves'', [J. Math. Phys. \bf 40, 4331
(1999)] . . . . . . . . . . . . . . . . 3973--3974
R. A. Krikorian Comment on ``Uncertainty principle for
proper time and mass'', [J. Math. Phys
\bf 40, 1237 (1999)] . . . . . . . . . . 3975--3977
Shoju Kudaka and
Shuichi Matsumoto Response to ``Comment on `Uncertainty
principle for proper time and mass'\,'',
[J. Math. Phys. \bf 42, 3975 (2001)] . . 3978--3979
H. Bergeron From classical to quantum mechanics:
``How to translate physical ideas into
mathematical language'' . . . . . . . . 3983--4019
A. O. Bolivar Classical limit of fermions in phase
space . . . . . . . . . . . . . . . . . 4020--4030
Khosrow Chadan and
Reido Kobayashi and
Takao Kobayashi The absolute definition of the
phase-shift in potential scattering . . 4031--4049
P. Exner and
M. Tater and
D. Van\vek A single-mode quantum transport in
serial-structure geometric scatterers 4050--4078
Conor J. Houghton and
Steffen Krusch Folding in the Skyrme model . . . . . . 4079--4100
Hala T. Jadallah The onset of superconductivity in a
domain with a corner . . . . . . . . . . 4101--4121
M. A. Jafarizadeh and
H. Panahi-Talemi and
E. Faizi Two- and three-dimensional Hamiltonians
with shape invariance symmetry . . . . . 4122--4137
K. Kowalski and
J. Rembieli\'nski The Bargmann representation for the
quantum mechanics on a sphere . . . . . 4138--4147
Edwin Langmann Algorithms to solve the (quantum)
Sutherland model . . . . . . . . . . . . 4148--4157
J. Manjavidze and
A. Sissakian Yang--Mills field quantization in the
factor space . . . . . . . . . . . . . . 4158--4180
Manu Mathur and
Diptiman Sen Coherent states for $ {\rm SU}(3) $ . . 4181--4196
O. Yu. Shvedov Large-$N$ theory from the axiomatic
point of view . . . . . . . . . . . . . 4197--4247
Piergiulio Tempesta and
Alexander V. Turbiner and
Pavel Winternitz Exact solvability of superintegrable
systems . . . . . . . . . . . . . . . . 4248--4257
Osman Teoman Turgut Geometric quantization on the super-disk 4258--4271
G. Giachetta and
L. Mangiarotti and
G. Sardanashvily Cohomology of the infinite-order jet
space and the inverse problem . . . . . 4272--4282
Tapon Roy A robust approach to protein foldability
measures based on spin-glass models . . 4283--4290
Bassano Vacchini Translation-covariant Markovian master
equation for a test particle in a
quantum fluid . . . . . . . . . . . . . 4291--4312
M. Crampin and
W. Sarlet A class of nonconservative Lagrangian
systems on Riemannian manifolds . . . . 4313--4326
Engui Fan A family of completely integrable
multi-Hamiltonian systems explicitly
related to some celebrated equations . . 4327--4344
Wen-Xiu Ma and
Zixiang Zhou Binary symmetry constraints of $
\mathcal {N} $-wave interaction
equations in $ 1 + 1 $ and $ 2 + 1 $
dimensions . . . . . . . . . . . . . . . 4345--4382
Joel Saavedra and
Ricardo Troncoso and
Jorge Zanelli Degenerate dynamical systems . . . . . . 4383--4390
Luc Blanchet and
Guillaume Faye Lorentzian regularization and the
problem of point-like particles in
general relativity . . . . . . . . . . . 4391--4418
A. C. Cadavid and
R. J. Finkelstein Nonlinear spinor in a Kerr--Schild
background . . . . . . . . . . . . . . . 4419--4439
John R. Klauder Noncanonical quantization of gravity.
II. Constraints and the physical Hilbert
space . . . . . . . . . . . . . . . . . 4440--4465
A. Berthomieu Analytic torsion of all vector bundles
over an elliptic curve . . . . . . . . . 4466--4487
Domenico D'Alessandro Small time controllability of systems on
compact Lie groups and spin angular
momentum . . . . . . . . . . . . . . . . 4488--4496
John Fredsted Exponentiation of the spinor
representation of the Lorentz group . . 4497--4502
Yasushi Komori Ruijsenaars' commuting difference
operators and invariant subspace spanned
by theta functions . . . . . . . . . . . 4503--4522
Yasushi Komori Essential self-adjointness of the
elliptic Ruijsenaars models . . . . . . 4523--4553
Susumu Okubo Supergeneralization of
Duffin--Kemmer--Petiau Algebra and Lie
superalgebra $ \mbox {osp}(N, M) $ . . . 4554--4562
Matthias Schork On the correlation functions of the
vector bundle generalization of the $ b
c$-system . . . . . . . . . . . . . . . 4563--4569
T. Skrypnyk Quasigraded Lie algebras on
hyperelliptic curves and classical
integrable systems . . . . . . . . . . . 4570--4581
Rodolfo Suárez and
Leonardo Sáenz Lie algebras associated with the
exponential solutions of nonautonomous
linear differential equations . . . . . 4582--4605
Rados\law Szmytkowski Discontinuities in Dirac eigenfunction
expansions . . . . . . . . . . . . . . . 4606--4617
P. M. Jordan Comment on ``Exact constructions of
square-root Helmholtz operator symbols:
The focusing quadratic profile'', [J.
Math. Phys. \bf 41, 4881 (2000)] . . . . 4618--4623
Tuncay Aktosun and
Martin Klaus and
Cornelis van der Mee Small-energy asymptotics of the
scattering matrix for the matrix
Schrödinger equation on the line . . . . 4627--4652
Laurence Barker Continuum quantum systems as limits of
discrete quantum systems. III. Operators 4653--4668
Y. Brihaye and
V. Paturyan and
B. M. A. G. Piette and
D. H. Tchrakian Instantons in four-dimensional gauged O$
(5) $ Skyrme models . . . . . . . . . . 4669--4683
L. Chetouani and
L. Guechi and
T. F. Hammann Algebraic treatment of super-integrable
potentials . . . . . . . . . . . . . . . 4684--4706
P. Exner and
A. Joye Avoided crossings in mesoscopic systems:
Electron propagation on a nonuniform
magnetic cylinder . . . . . . . . . . . 4707--4738
Francisco M. Fernández Perturbation theory free from secular
terms for the equations of motion of
anharmonic oscillators . . . . . . . . . 4739--4748
G. A. Kozlov The disorder deviation in the deconfined
phase . . . . . . . . . . . . . . . . . 4749--4756
P. P. Kulish and
N. Manojlovi\'c Creation operators and Bethe vectors of
the $ \mbox {osp}(1 |2) $ Gaudin model 4757--4778
E. Langmann and
J. Mickelsson and
S. Rydh Anomalies and Schwinger terms in NCG
field theory models . . . . . . . . . . 4779--4801
P. T. Leung and
Alec Maassen van den Brink and
W. M. Suen and
C. W. Wong and
K. Young SUSY transformations for quasinormal
modes of open systems . . . . . . . . . 4802--4820
Dmitry I. Muravyev The sufficient conditions under which
the S-matrix orthogonal part is real and
even . . . . . . . . . . . . . . . . . . 4821--4826
L. K. Norris $n$-symplectic algebra of observables in
covariant Lagrangian field theory . . . 4827--4845
Michele Pavon On the stochastic mechanics of the free
relativistic particle . . . . . . . . . 4846--4856
Dénes Petz and
Milán Mosonyi Stationary quantum source coding . . . . 4857--4864
Zu-Jian Ying and
You-Quan Li and
Shi-Jian Gu Symmetries in the Hubbard model with
$n$-fold orbital degeneracy . . . . . . 4865--4872
Graeme W. Milton Proof of a conjecture on the
conductivity of checkerboards . . . . . 4873--4882
Go Kato and
Miki Wadati Graphical representation of the
partition function of a one-dimensional
$ \delta $-function Bose gas . . . . . . 4883--4893
Kai Chen and
Bo-yu Hou and
Wen-li Yang The Lax pairs for elliptic $ C_n $ and $
B C_n $ Ruijsenaars--Schneider models
and their spectral curves . . . . . . . 4894--4914
Mathieu Dutour Phase diagram for Abrikosov lattice . . 4915--4926
M. Fleury Calogero--Moser systems with periodic
and doubly periodic interaction
potentials and loop algebras . . . . . . 4927--4937
Zixiang Zhou Relation between the solitons of
Yang--Mills--Higgs fields in $ 2 + 1 $
dimensional Minkowski space--time and
anti-de Sitter space--time . . . . . . . 4938--4946
Tooba Feroze and
Asghar Qadir and
M. Ziad The classification of plane symmetric
spacetimes by isometries . . . . . . . . 4947--4955
L. Herrera and
N. O. Santos On the gravitomagnetic effects in
cylindrically symmetric space--times . . 4956--4962
Hongya Liu and
Paul S. Wesson Radiating sources in higher-dimensional
gravity . . . . . . . . . . . . . . . . 4963--4970
G. Gasaneo and
F. D. Colavecchia and
S. Otranto and
C. R. Garibotti The hyperbolic--hypergeometric functions 4971--4983
Benito Hernández-Bermejo New solutions of the Jacobi equations
for three-dimensional Poisson structures 4984--4996
Xufeng Liu and
Changpu Sun Representations of $ U^{\mbox {res}}(s
l_2) $ via restricted $q$-Fock spaces 4997--5005
Vladimir D. Lyakhovsky and
Alexander Stolin and
Petr P. Kulish Chains of Frobenius subalgebras of $
\mbox {so}(M) $ and the corresponding
twists . . . . . . . . . . . . . . . . . 5006--5019
Akinori Nishino and
Yasushi Komori An algebraic approach to
Macdonald--Koornwinder polynomials:
Rodrigues-type formula and inner product
identity . . . . . . . . . . . . . . . . 5020--5046
N. Athavan and
P. O. Fröman and
N. Fröman and
M. Lakshmanan Quantal two-center Coulomb problem
treated by means of the phase-integral
method. I. General theory . . . . . . . 5051--5076
N. Athavan and
M. Lakshmanan and
N. Fröman Quantal two-center Coulomb problem
treated by means of the phase-integral
method. II. Quantization conditions in
the symmetric case expressed in terms of
complete elliptic integrals. Numerical
illustration . . . . . . . . . . . . . . 5077--5095
N. Athavan and
M. Lakshmanan and
N. Fröman Quantal two-center Coulomb problem
treated by means of the phase-integral
method. III. Quantization conditions in
the general case expressed in terms of
complete elliptic integrals. Numerical
illustration . . . . . . . . . . . . . . 5096--5115
F. Bagarello Multi-resolution analysis and fractional
quantum Hall effect: An equivalence
result . . . . . . . . . . . . . . . . . 5116--5129
Luis J. Boya and
Askold M. Perelomov and
Mariano Santander Berry phase in homogeneous Kähler
manifolds with linear Hamiltonians . . . 5130--5142
Antonio Cassa Quantum physical systems as classical
systems . . . . . . . . . . . . . . . . 5143--5149
Kwangseok Choe Existence of multivortex solutions in
the self-dual Chern--Simons--Higgs
theory in a background metric . . . . . 5150--5162
J. Cislo and
J. Lopusza\'nski To what extent do the classical
equations of motion determine the
quantization scheme? . . . . . . . . . . 5163--5176
Wojciech Florek Trions in a periodic potential . . . . . 5177--5184
C. D. Fosco and
N. F. Svaiter Finite size effects in the anisotropic $
(\lambda / 4 !)(\phi_1^4 + \phi_2^4)_d $
model . . . . . . . . . . . . . . . . . 5185--5194
Takao Fukui and
Sanjeev S. Seahra and
Paul S. Wesson Cosmological implications of a
nonseparable 5D solution of the vacuum
Einstein field equations . . . . . . . . 5195--5201
Subir Ghosh Batalin--Tyutin quantization of the
spinning particle model . . . . . . . . 5202--5211
Stan Gudder and
Gabriel Nagy Sequential quantum measurements . . . . 5212--5222
B. Guo and
G. Yang Some exact nontrivial global solutions
with values in unit sphere for
two-dimensional Landau--Lifshitz
equations . . . . . . . . . . . . . . . 5223--5227
Richard L. Hall and
Wolfgang Lucha and
Franz F. Schöberl Energy bounds for the spinless Salpeter
equation . . . . . . . . . . . . . . . . 5228--5237
Edwin Langmann Generalized Yang--Mills actions from
Dirac operator determinants . . . . . . 5238--5256
A. Pashnev and
F. Toppan On the classification of $N$-extended
supersymmetric quantum mechanical
systems . . . . . . . . . . . . . . . . 5257--5271
Hendryk Pfeiffer Four-dimensional lattice gauge theory
with ribbon categories and the
Crane--Yetter state sum . . . . . . . . 5272--5305
Oliver Rudolph A new class of entanglement measures . . 5306--5314
Neil Russell Superalgebras for the Penning trap . . . 5315--5328
R. Caseiro and
J.-P. Françoise and
R. Sasaki Quadratic algebra associated with
rational Calogero--Moser models . . . . 5329--5340
S. Lafortune and
S. Tremblay and
P. Winternitz Symmetry classification of diatomic
molecular chains . . . . . . . . . . . . 5341--5357
Anatoliy M. Samoilenko and
Anatoliy K. Prykarpatsky and
Ufuk Taneri On the structure of Picard--Fuchs type
equations for Liouville--Arnold
integrable Hamiltonian system on
cotangent phase spaces . . . . . . . . . 5358--5370
Marita C. Chidichimo and
Michael D. Thorsley Asymptotic expansion of $_2 F_1 (a, b;
c; x)$ in terms of confluent
hypergeometric functions . . . . . . . . 5371--5378
R. V. Craster and
Yu. V. Obnosov Checkerboard composites with separated
phases . . . . . . . . . . . . . . . . . 5379--5388
M. Havlí\vcek and
A. U. Klimyk and
S. Po\usta Representations of the $q$-deformed
algebra $ \mbox {U} \prime (\mbox
{so}_4)$ . . . . . . . . . . . . . . . . 5389--5416
S. Lievens and
J. Van der Jeugt Transformation formulas for double
hypergeometric series related to 9-$j$
coefficients and their basic analogs . . 5417--5430
Deepak Parashar On the biparametric quantum deformation
of $ {\rm GL}(2) \otimes {\rm GL}(1) $ 5431--5443
Yucai Su Weakly primitive vectors of Kac-modules
of the Lie superalgebras $ {\rm sl}(m /
n) $ . . . . . . . . . . . . . . . . . . 5444--5456
Sadakane Tomoyuki Soliton solutions of XXZ lattice
Landau--Lifshitz equation . . . . . . . 5457--5471
A. I. Zenchuk Families of particular solutions to
multidimensional partial differential
equations . . . . . . . . . . . . . . . 5472--5492
V. D. Ivashchuk and
S.-W. Kim and
V. N. Melnikov Erratum: ``Hyperbolic Kac--Moody algebra
from intersecting $p$-branes'', [J.
Math. Phys. 40, 4072 (1999)] . . . . . . 5493--5493
A. A. Actor and
I. Bender Scalar quantum field coupled to
boundaries and to a background magnetic
field . . . . . . . . . . . . . . . . . 5499--5521
David H. Adams On the continuum limit of fermionic
topological charge in lattice gauge
theory . . . . . . . . . . . . . . . . . 5522--5533
Paul S. Aspinwall Some navigation rules for D-brane
monodromy . . . . . . . . . . . . . . . 5534--5552
A. Bashir and
R. Delbourgo and
M. L. Roberts Multidimensional phase space and sunset
diagrams . . . . . . . . . . . . . . . . 5553--5564
Nuno Costa Dias and
João Nuno Prata Generalized Weyl--Wigner map and Vey
quantum mechanics . . . . . . . . . . . 5565--5579
I. Floratos and
B. M. A. G. Piette Spherically symmetric solutions of the
sixth order $ {\rm SU}(N) $ Skyrme
models . . . . . . . . . . . . . . . . . 5580--5595
Christian Hainzl Gradient corrections for semiclassical
theories of atoms in strong magnetic
fields . . . . . . . . . . . . . . . . . 5596--5625
Thomas Hupfer and
Hajo Leschke and
Simone Warzel Upper bounds on the density of states of
single Landau levels broadened by
Gaussian random potentials . . . . . . . 5626--5641
R. Karazija and
V. Jonauskas Investigation of the relativistic
equivalent Hamiltonian in the $ L S $
coupling scheme . . . . . . . . . . . . 5642--5651
Avinash Khare and
Uday Sukhatme Some exact results for mid-band and zero
band-gap states of associated Lamé
potentials . . . . . . . . . . . . . . . 5652--5664
D. Osadchy and
J. E. Avron Hofstadter butterfly as quantum phase
diagram . . . . . . . . . . . . . . . . 5665--5671
Junya Shibata and
Komajiro Niizeki Coherent state path integral for the
Bloch particle . . . . . . . . . . . . . 5672--5686
Izumi Tsutsui and
Tamás Fülöp and
Taksu Cheon Möbius structure of the spectral space of
Schrödinger operators with point
interaction . . . . . . . . . . . . . . 5687--5697
Hee-Seok Nam Asymptotics for the condensate
multivortex solutions in the self-dual
Chern--Simons CP(1) model . . . . . . . 5698--5712
Miles P. Blencowe and
Nicholas C. Koshnick Partition asymptotics from
one-dimensional quantum entropy and
energy currents . . . . . . . . . . . . 5713--5717
Joshua Feinberg and
R. Scalettar and
A. Zee ``Single ring theorem'' and the
disk-annulus phase transition . . . . . 5718--5740
O. R. Campoamor-Stursberg and
F. G. Gascon and
D. Peralta-Salas Dynamical systems embedded into Lie
algebras . . . . . . . . . . . . . . . . 5741--5752
Devendra A. Kapadia Nonintegrable reductions of the
self-dual Yang--Mills equations in a
metric of plane wave type . . . . . . . 5753--5761
A. Tongas and
D. Tsoubelis and
P. Xenitidis A family of integrable nonlinear
equations of hyperbolic type . . . . . . 5762--5784
Ana Laura García-Perciante and
Alfredo Sandoval-Villalbazo and
L. S. García-Colín Kaluza's theory in generalized
coordinates . . . . . . . . . . . . . . 5785--5799
Roman Tomaschitz Electromagnetic propagators in
hyperbolic Robertson--Walker cosmologies 5800--5831
R. Blümel and
Yu. Dabaghian Combinatorial identities for binary
necklaces from exact ray-splitting trace
formulas . . . . . . . . . . . . . . . . 5832--5839
Chandrashekar Devchand and
Jean Nuyts Democratic supersymmetry . . . . . . . . 5840--5858
S. Enoch and
R. C. McPhedran and
N. A. Nicorovici and
L. C. Botten and
J. N. Nixon Sums of spherical waves for lattices,
layers, and lines . . . . . . . . . . . 5859--5870
Charles-Antoine Guérin A note on the generalized fractal
dimensions of a probability measure . . 5871--5875
Romuald Lenczewski Filtered random variables, bialgebras,
and convolutions . . . . . . . . . . . . 5876--5903
Lajos Molnár Order-automorphisms of the set of
bounded observables . . . . . . . . . . 5904--5909
Bengt Nagel An expansion of the hypergeometric
function in Bessel functions . . . . . . 5910--5914
Amir Shlivinski and
Ehud Heyman and
Anthony J. Devaney Time domain radiation by scalar sources:
Plane wave to multipole transform . . . 5915--5919
N. Ben Abdallah and
P. Degond and
I. M. Gamba Coupling one-dimensional time-dependent
classical and quantum transport models 1--24
K. Yu. Bliokh Geometric amplitude, adiabatic
invariants, quantization, and strong
stability of Hamiltonian systems . . . . 25--42
Chun-Ming Chiang and
Choon-Lin Ho Planar Dirac electron in Coulomb and
magnetic fields: A Bethe ansatz approach 43--51
D. Felbacq Noncommuting limits in homogenization
theory of electromagnetic crystals . . . 52--55
G. Giachetta and
L. Mangiarotti and
G. Sardanashvily Covariant geometric quantization of
nonrelativistic time-dependent mechanics 56--68
Tepper L. Gill and
W. W. Zachary Foundations for relativistic quantum
theory. I. Feynman's operator calculus
and the Dyson conjectures . . . . . . . 69--93
Richard L. Hall and
Nasser Saad and
Attila B. von Keviczky Spiked harmonic oscillators . . . . . . 94--112
Agapitos Hatzinikitas and
Ioannis Smyrnakis The noncommutative harmonic oscillator
in more than one dimension . . . . . . . 113--125
D. A. Ivanov The supersymmetric technique for
random-matrix ensembles with zero
eigenvalues . . . . . . . . . . . . . . 126--153
Yi Ling Supersymmetric spin networks . . . . . . 154--169
Q. H. Liu and
X. Wang and
W. H. Qi and
L. P. Fu and
B. Hu The Fejér average and the mean value of a
quantity in a quasiclassical wave packet 170--181
Pierre Martinetti and
Raimar Wulkenhaar Discrete Kaluza--Klein from scalar
fluctuations in noncommutative geometry 182--204
Ali Mostafazadeh Pseudo-Hermiticity versus $ P T $
symmetry: The necessary condition for
the reality of the spectrum of a
non-Hermitian Hamiltonian . . . . . . . 205--214
I. Yu. Popov Asymptotics of bound states and bands
for laterally coupled waveguides and
layers . . . . . . . . . . . . . . . . . 215--234
A. Sakaji and
R. S. Hijjawi and
N. Shawagfeh and
J. M. Khalifeh Remarks on the lattice Green's function:
The Glasser case . . . . . . . . . . . . 235--242
Andreas U. Schmidt Infinite infrared regularization and a
state space for the Heisenberg algebra 243--259
Kostake Teleman Lorentz invariant Lagrangians . . . . . 260--282
Izu Vaisman Fedosov quantization on symplectic
ringed spaces . . . . . . . . . . . . . 283--298
Azizollah Azizi Planar trajectories in a monopole field 299--317
S. G. Kamath A planar Runge--Lenz vector . . . . . . 318--324
Stefano Vignolo and
Danilo Bruno Iper-ideal kinetic constraints in
continuum mechanics . . . . . . . . . . 325--343
T. D. Frank On a general link between anomalous
diffusion and nonextensivity . . . . . . 344--350
Manfred Requardt Fluctuation operators and spontaneous
symmetry breaking . . . . . . . . . . . 351--372
David Alba and
Luca Lusanna and
Massimo Pauri Dynamical body frames, orientation-shape
variables and canonical spin bases for
the nonrelativistic $N$-body problem . . 373--402
J. Avan and
G. Rollet Structures in BC$_N$
Ruijsenaars--Schneider models . . . . . 403--416
Franco Cardin The global finite structure of generic
envelope loci for Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 417--430
Manuel F. Rañada and
Mariano Santander On harmonic oscillators on the
two-dimensional sphere $ S^2 $ and the
hyperbolic plane $ H^2 $ . . . . . . . . 431--451
Zhou Shengfan Attractors for second-order lattice
dynamical systems with damping . . . . . 452--465
Yufeng Zhang and
Hongqing Zhang A direct method for integrable couplings
of TD hierarchy . . . . . . . . . . . . 466--472
Antonio Accioly and
Abel Azeredo and
Hatsumi Mukai Propagator, tree-level unitarity and
effective nonrelativistic potential for
higher-derivative gravity theories in
$D$ dimensions . . . . . . . . . . . . . 473--491
J. Carminati and
E. Zakhary and
R. G. McLenaghan On the problem of algebraic completeness
for the invariants of the Riemann
tensor. II . . . . . . . . . . . . . . . 492--507
O. C. Castellani and
H. P. de Oliveira On solitons with nonminimally coupled
scalar fields . . . . . . . . . . . . . 508--518
J. Estevez Delgado and
T. Zannias On the structure of degenerate solutions
of the Einstein conformally invariant
scalar system . . . . . . . . . . . . . 519--553
Gábor Etesi A rigidity theorem for nonvacuum initial
data . . . . . . . . . . . . . . . . . . 554--562
F. Giannoni and
A. Masiello and
P. Piccione The Fermat principle in general
relativity and applications . . . . . . 563--596
Yutaka Hosotani Scaling behavior in the
Einstein--Yang--Mills monopoles and
dyons . . . . . . . . . . . . . . . . . 597--603
A. B. Balantekin and
P. Cassak Character expansions for the orthogonal
and symplectic groups . . . . . . . . . 604--620
Cewen Cao and
Xianguo Geng and
Hongye Wang Algebro-geometric solution of the $ 2 +
1 $ dimensional Burgers equation with a
discrete variable . . . . . . . . . . . 621--643
R. Cartas-Fuentevilla On the symplectic structures for
geometrical theories . . . . . . . . . . 644--650
Maciej Dunajski Hyper-complex four-manifolds from the
Tzitzéica equation . . . . . . . . . . . 651--658
S. Brian Edgar and
A. Höglund Dimensionally dependent tensor
identities by double antisymmetrization 659--677
James Isenberg and
Steven L. Liebling Singularity formation in $ 2 + 1 $ wave
maps . . . . . . . . . . . . . . . . . . 678--683
K. A. Kirkpatrick Uniqueness of a convex sum of products
of projectors . . . . . . . . . . . . . 684--686
S. Varsaie New cohomology ring for supermanifolds 687--691
Gianni Cassinelli and
Ernsesto De Vito and
Pekka Lahti and
Juha-Pekka Pellonpää Covariant localizations in the torus and
the phase observables . . . . . . . . . 693--704
Mario A. Castagnino and
Jorge Gueron and
Adolfo R. Ordóñez Global time asymmetry as a consequence
of a wave packets theorem . . . . . . . 705--713
A. H. El Kinani and
M. Daoud Generalized coherent and intelligent
states for exact solvable quantum
systems . . . . . . . . . . . . . . . . 714--733
Kei Inoue and
Masanori Ohya and
Igor V. Volovich Semiclassical properties and chaos
degree for the quantum Baker's map . . . 734--755
M. V. Karasev and
T. A. Osborn Symplectic areas, quantization, and
dynamics in electromagnetic fields . . . 756--788
Andrei Khrennikov Ensemble fluctuations and the origin of
quantum probabilistic rule . . . . . . . 789--802
Kwang Ik Kim and
Zuhan Liu Global minimizer for the
Ginzburg--Landau functional of an
inhomogeneous superconductor . . . . . . 803--817
Tomá\us Kopf and
Mario Paschke A spectral quadruple for de Sitter space 818--846
Ovidiu Lipan and
Constantin Rasinariu Baxter T--Q equation for shape invariant
potentials. The finite-gap potentials
case . . . . . . . . . . . . . . . . . . 847--865
Juan C. Retamal and
Lautaro Vergara Regularizing divergences in the von
Neumann entropy . . . . . . . . . . . . 866--871
Akifumi Sako and
Shin-Ichiro Kuroki and
Tomomi Ishikawa Noncommutative cohomological field
theory and GMS soliton . . . . . . . . . 872--896
Bei Zeng and
Jin-Yan Zeng Closure of orbits and dynamical symmetry
of screened Coulomb potential and
isotropic harmonic oscillator . . . . . 897--903
Alejandro M. Mesón and
Fernando Vericat On the Kolmogorov-like generalization of
Tsallis entropy, correlation entropies
and multifractal analysis . . . . . . . 904--917
John Palmer Short distance asymptotics of Ising
correlations . . . . . . . . . . . . . . 918--953
Ángel Ballesteros and
Orlando Ragnisco Classical Hamiltonian systems with $
{\rm sl}(2) $ coalgebra symmetry and
their integrable deformations . . . . . 954--969
E. G. Kalnins and
J. M. Kress and
P. Winternitz Superintegrability in a two-dimensional
space of nonconstant curvature . . . . . 970--983
Yoshimasa Matsuno Dark soliton generation for the
intermediate nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 984--1007
Hon-Wah Tam and
Xing-Biao Hu and
Xian-Min Qian Remarks on several $ 2 + 1 $ dimensional
lattices . . . . . . . . . . . . . . . . 1008--1017
E. R. Bezerra de Mello Euclidean scalar Green function in a
higher dimensional global monopole
space--time . . . . . . . . . . . . . . 1018--1028
B. V. Ivanov Integrable cases of gravitating static
isothermal fluid spheres . . . . . . . . 1029--1043
M. Boiti and
F. Pempinelli and
A. K. Pogrebkov and
B. Prinari Inverse scattering theory of the heat
equation for a perturbed one-soliton
potential . . . . . . . . . . . . . . . 1044--1062
D. A. Dubin and
M. A. Hennings Angle operators on weighted Bergman
spaces . . . . . . . . . . . . . . . . . 1063--1073
Franco Fagnola and
Rolando Rebolledo Subharmonic projections for a quantum
Markov semigroup . . . . . . . . . . . . 1074--1082
Miloslav Havlí\vcek and
Ji\vrí Patera and
Edita Pelantová and
Ji\vrí Tolar Automorphisms of the fine grading of $
{\rm sl}(n, \mathbb {C}) $ associated
with the generalized Pauli matrices . . 1083--1094
S. B. Leble and
A. V. Yurov Reduction restrictions of Darboux and
Laplace transformations for the Goursat
equation . . . . . . . . . . . . . . . . 1095--1105
Yezhou Li and
Yuzan He On analytic properties of higher analogs
of the second Painlevé equation . . . . . 1106--1115
Xianwen Zhang $ L^p $ spectral independence of the
streaming operator . . . . . . . . . . . 1116--1126
Kwok Sau Fa and
E. K. Lenzi Erratum: ``Exact equation of state for
$2$-dimensional gravitating system
within Tsallis statistical mechanics'',
[J. Math. Phys. 42, 1148--1153 (2001)] 1127--1127
A. D. Alhaidari The relativistic $J$-matrix theory of
scattering: an analytic solution . . . . 1129--1135
Azizollah Azizi Stable orbits in a Higgs-Monopole field 1136--1151
P. Exner and
K. N\uemcová Quantum mechanics of layers with a
finite number of point perturbations . . 1152--1184
Christian Hainzl Semiclassics in the lowest Landau band 1185--1210
Brian C. Hall and
Jeffrey J. Mitchell Coherent states on spheres . . . . . . . 1211--1236
Richard L. Hall and
Wolfgang Lucha and
Franz F. Schöberl Relativistic $N$-boson systems bound by
oscillator pair potentials . . . . . . . 1237--1246
Christopher King Maximization of capacity and $ l_p $
norms for some product channels . . . . 1247--1260
Zuhan Liu Pinning phenomena near the lower
critical field for superconductor . . . 1261--1272
G. Nenciu On asymptotic perturbation theory for
quantum mechanics: Almost invariant
subspaces and gauge invariant magnetic
perturbation theory . . . . . . . . . . 1273--1298
Juha-Pekka Pellonpää On the structure of covariant phase
observables . . . . . . . . . . . . . . 1299--1308
Miguel A. Rodríguez and
Pavel Winternitz Quantum superintegrability and exact
solvability in $n$ dimensions . . . . . 1309--1322
R. N. Sen and
G. L. Sewell Fiber bundles in quantum physics . . . . 1323--1339
Erdal Toprak and
O. Teoman Turgut Large $N$ limit of $ {\rm SO}(N)$ scalar
gauge theory . . . . . . . . . . . . . . 1340--1352
Jose G. Vargas and
Douglas G. Torr Quantum Clifford algebra from classical
differential geometry . . . . . . . . . 1353--1364
Alexander Zhalij On separable Pauli equations . . . . . . 1365--1389
Onofre Rojas and
S. M. de Souza and
M. T. Thomaz High temperature expansion for a chain
model . . . . . . . . . . . . . . . . . 1390--1407
Wen-Xiu Ma A bi-Hamiltonian formulation for
triangular systems by perturbations . . 1408--1421
Raymond G. McLenaghan and
Roman G. Smirnov and
Dennis The Group invariant classification of
separable Hamiltonian systems in the
Euclidean plane and the $ O(4)
$-symmetric Yang--Mills theories of
Yatsun . . . . . . . . . . . . . . . . . 1422--1440
Y. Nutku and
M. V. Pavlov Multi-Lagrangians for integrable systems 1441--1459
V. S. Shchesnovich Perturbation theory for nearly
integrable multicomponent nonlinear PDEs 1460--1486
Bertrand Chauvineau Euclidean Friedman--Robertson--Walker
cosmology in Brans--Dicke-like theories
of gravity . . . . . . . . . . . . . . . 1487--1492
J. Mark Heinzle and
Roland Steinbauer Remarks on the distributional
Schwarzschild geometry . . . . . . . . . 1493--1508
J. P. Krisch and
E. N. Glass Adding twist to anisotropic fluids . . . 1509--1518
Kourosh Nozari and
Reza Mansouri The methods of gluing manifolds in
general relativity . . . . . . . . . . . 1519--1535
A. Pravdová and
V. Pravda Boost--rotation symmetric vacuum
space--times with spinning sources . . . 1536--1546
Sigitas Ali\usauskas The multiple sum formulas for 12-$j$
coefficients of $ {\rm SU}(2)$ and $
u_q(2)$ . . . . . . . . . . . . . . . . 1547--1568
A. Chakrabarti Modified braid equations for $ \mbox
{SO}_q(3) $ and noncommutative spaces 1569--1583
D. M. Forni and
M. S. Iriondo and
C. N. Kozameh and
M. F. Parisi Understanding singularities in Cartan's
and null surface formulation geometric
structures . . . . . . . . . . . . . . . 1584--1597
Stéphane R. Legault and
Thomas B. A. Senior Solution of a second order difference
equation using the bilinear relations of
Riemann . . . . . . . . . . . . . . . . 1598--1621
Jaume Llibre and
Xiang Zhang Invariant algebraic surfaces of the
Lorenz system . . . . . . . . . . . . . 1622--1645
T. D. Palev and
N. I. Stoilova and
J. Van der Jeugt Jacobson generators of the quantum
superalgebra $ U_q[{\rm sl}(n + 1 |m)] $
and Fock representations . . . . . . . . 1646--1663
E. V. Tsiper Analytic Coulomb matrix elements in the
lowest Landau level in disk geometry . . 1664--1667
A. Yildiz Braided oscillators . . . . . . . . . . 1668--1674
David Alba and
Luca Lusanna and
Massimo Pauri Centers of mass and rotational
kinematics for the relativistic $N$-body
problem in the rest-frame instant form 1677--1727
Christopher C. Bernido and
M. Victoria Carpio-Bernido Path integrals for boundaries and
topological constraints: A white noise
functional approach . . . . . . . . . . 1728--1736
Laurent Freidel and
Kirill Krasnov The fuzzy sphere $ \star $-product and
spin networks . . . . . . . . . . . . . 1737--1754
Fumio Hiroshima Observable effects and parametrized
scaling limits of a model in
nonrelativistic quantum electrodynamics 1755--1795
J. Kijowski and
G. Rudolph On the Gauss law and global charge for
quantum chromodynamics . . . . . . . . . 1796--1808
O. Yu. Shvedov Renormalization of Poincaré
transformations in Hamiltonian
semiclassical field theory . . . . . . . 1809--1843
I. M. Sigal and
A. Soffer and
L. Zielinski On the spectral properties of
Hamiltonians without conservation of the
particle number . . . . . . . . . . . . 1844--1855
H. J. Wospakrik and
W. J. Zakrzewski $ \mbox {SU}(N) $ skyrmions from
harmonic maps $ S^2 \longrightarrow
\mbox {Gr}(2, N) $ . . . . . . . . . . . 1856--1874
David R. Palmer A parabolic approximation method with
application to global wave propagation 1875--1905
C. Verhoeven and
M. Musette and
R. Conte Integration of a generalized
Hénon--Heiles Hamiltonian . . . . . . . . 1906--1915
José Acosta and
Harold Blas Generalized sine-Gordon/massive Thirring
models and soliton/particle
correspondences . . . . . . . . . . . . 1916--1937
Chunli Chen and
Yishen Li The Lund--Regge surface and its motion's
evolution equation . . . . . . . . . . . 1938--1955
Deng-yuan Chen $k$-constraint for the modified
Kadomtsev--Petviashvili system . . . . . 1956--1965
R. G. Halburd Shear-free relativistic fluids and the
absence of movable branch points . . . . 1966--1979
Asish Ganguly Associated Lamé and various other new
classes of elliptic potentials from $
\mbox {sl}(2, \mathbb {R}) $ and related
orthogonal polynomials . . . . . . . . . 1980--1999
Toshiki Nakashima Irreducible modules of finite
dimensional quantum algebras of type $A$
at roots of unity . . . . . . . . . . . 2000--2014
D. C. Robinson The real geometry of holomorphic
four-metrics . . . . . . . . . . . . . . 2015--2028
R. B. Zhang Quantum enveloping superalgebras and
link invariants . . . . . . . . . . . . 2029--2048
Claudio Altafini Controllability of quantum mechanical
systems by root space decomposition of $
\mathfrak {SU}(N) $ . . . . . . . . . . 2051--2062
Nibaldo Alvarez M. and
Véronique Hussin Generalized coherent and squeezed states
based on the $ h(1) \oplus \mbox {su}(2)
$ algebra . . . . . . . . . . . . . . . 2063--2096
H. Barnum and
E. Knill Reversing quantum dynamics with
near-optimal quantum and classical
fidelity . . . . . . . . . . . . . . . . 2097--2106
Ugo Boscain and
Grégoire Charlot and
Jean-Paul Gauthier and
Stéphane Guérin and
Hans-Rudolf Jauslin Optimal control in laser-induced
population transfer for two- and
three-level quantum systems . . . . . . 2107--2132
B. Demircio\uglu and
S. Kuru and
M. Önder and
A. Verçin Two families of superintegrable and
isospectral potentials in two dimensions 2133--2150
P. Exner and
P. St'ovícek and
P. Vytras Generalized boundary conditions for the
Aharonov--Bohm effect combined with a
homogeneous magnetic field . . . . . . . 2151--2168
Per Olof Fröman and
Kilian Larsson Phase-amplitude method for numerically
exact solution of the differential
equations of the two-center Coulomb
problem . . . . . . . . . . . . . . . . 2169--2179
Gerald A. Goldin and
Vladimir M. Shtelen On gauge transformations of Bäcklund type
and higher order nonlinear Schrödinger
equations . . . . . . . . . . . . . . . 2180--2186
Anna Jencová Quantum information geometry and
standard purification . . . . . . . . . 2187--2201
A. B. Klimov Exact evolution equations for $ \mbox
{SU}(2) $ quasidistribution functions 2202--2213
S. Nonnenmacher and
M. R. Zirnbauer Det--Det correlations for quantum maps:
Dual pair and saddle-point analyses . . 2214--2240
Fuminori Sakaguchi and
Masahito Hayashi Coherent states and
annihilation--creation operators
associated with the irreducible unitary
representations of $ \mathfrak {SU}(1,
1) $ . . . . . . . . . . . . . . . . . . 2241--2248
Carlos Villegas-Blas The Bargmann transform and canonical
transformations . . . . . . . . . . . . 2249--2283
V. G. Bagrov and
M. C. Baldiotti and
D. M. Gitman and
I. V. Shirokov New solutions of relativistic wave
equations in magnetic fields and
longitudinal fields . . . . . . . . . . 2284--2305
Frédéric Hélein and
Joseph Kouneiher Finite dimensional Hamiltonian formalism
for gauge and quantum field theories . . 2306--2347
Helmuth Hüffel Quantizing Yang--Mills theory on a
two-point space . . . . . . . . . . . . 2348--2354
Seongtag Kim and
Yoonbai Kim Self-dual Chern--Simons vortices on
Riemann surfaces . . . . . . . . . . . . 2355--2362
Todd A. Oliynyk and
H. P. Künzle Local existence proofs for the boundary
value problem for static spherically
symmetric Einstein--Yang--Mills fields
with compact gauge groups . . . . . . . 2363--2393
Y. Strauss and
L. P. Horwitz Lax--Phillips scattering theory of a
relativistic quantum field theoretical
Lee--Friedrichs model and
Lee--Oehme--Yang--Wu phenomenology . . . 2394--2422
Paul S. Wesson On higher-dimensional dynamics . . . . . 2423--2438
Oliver Henkel Global prescribed mean curvature
foliations in cosmological space--times.
I . . . . . . . . . . . . . . . . . . . 2439--2465
Oliver Henkel Global prescribed mean curvature
foliations in cosmological space--times.
II . . . . . . . . . . . . . . . . . . . 2466--2485
Sergiu I. Vacaru and
D. Singleton Ellipsoidal, cylindrical, bipolar and
toroidal wormholes in 5D gravity . . . . 2486--2504
M. Crampin and
W. Sarlet Bi-quasi-Hamiltonian systems . . . . . . 2505--2517
Jiu Ding and
Lawrence R. Mead Maximum entropy approximation for
Lyapunov exponents of chaotic maps . . . 2518--2522
Manuel Mañas From integrable nets to integrable
lattices . . . . . . . . . . . . . . . . 2523--2546
E. Nissimov and
S. Pacheva Symmetries of supersymmetric integrable
hierarchies of KP type . . . . . . . . . 2547--2586
Oleksiy O. Vakhnenko Solitons in parametrically driven
discrete nonlinear Schrödinger systems
with the exploding range of intersite
interactions . . . . . . . . . . . . . . 2587--2605
Leonid G. Fel Piezoelectricity and Piezomagnetism:
Duality in two-dimensional checkerboards 2606--2609
Barton L. Willis A new approach to static force-free
electromagnetic fields . . . . . . . . . 2610--2615
Dirk Blömker and
Jinqiao Duan and
Thomas Wanner Enstrophy dynamics of stochastically
forced large-scale geophysical flows . . 2616--2626
Farinaz Roshani and
Mohammad Khorrami Annihilation-diffusion processes: An
exactly solvable model . . . . . . . . . 2627--2635
K. A. Seaton and
M. T. Batchelor The dilute $ A_4 $ model, the $ E_7 $
mass spectrum and the tricritical Ising
model . . . . . . . . . . . . . . . . . 2636--2653
Masatoshi Shiino Nonlinear Fokker--Planck equation
exhibiting bifurcation phenomena and
generalized thermostatistics . . . . . . 2654--2669
T. M. Garoni and
N. E. Frankel Lévy flights: Exact results and
asymptotics beyond all orders . . . . . 2670--2689
Qing Gu and
Deguang Han Phases for dyadic orthonormal wavelets 2690--2706
Thomas Guhr and
Heiner Kohler Recursive construction for a class of
radial functions. I. Ordinary space . . 2707--2740
Thomas Guhr and
Heiner Kohler Recursive construction for a class of
radial functions. II. Superspace . . . . 2741--2769
Daniel Kastler A second look at $ U_q $ ( $S$ $l$ 2) at
third root of unity . . . . . . . . . . 2770--2790
Volodymyr Mazorchuk On quasicrystal Lie algebras . . . . . . 2791--2801
R. C. McPhedran and
N. A. Nicorovici Static Bloch sums for the square array 2802--2813
Ali Mostafazadeh Pseudo-Hermiticity versus $ P T
$-symmetry. II. A complete
characterization of non-Hermitian
Hamiltonians with a real spectrum . . . 2814--2816
Sylvia Pulmannová Compatibility and decompositions of
effects . . . . . . . . . . . . . . . . 2817--2830
Yuriy Sosov and
Constantine E. Theodosiou On the complete solution of the
Sturm--Liouville problem $ (d^2 X / d
x^2) + \lambda^2 X = 0 $ over a closed
interval . . . . . . . . . . . . . . . . 2831--2843
S. Albeverio and
G. Guatteri and
S. Mazzucchi Phase space Feynman path integrals . . . 2847--2857
V. M. Buchstaber and
J. C. Eilbeck and
V. Z. Enolskii and
D. V. Leykin and
M. Salerno Multidimensional Schrödinger equations
with Abelian potentials . . . . . . . . 2858--2881
G. Giachetta and
L. Mangiarotti and
G. Sardanashvily Geometric quantization of mechanical
systems with time-dependent parameters 2882--2894
Xiao-Yan Gu and
Bin Duan and
Zhong-Qi Ma Quantum three-body system in $D$
dimensions . . . . . . . . . . . . . . . 2895--2906
Toshihiro Iwai and
Toru Hirose The reduction of a quantum system of
three identical particles on a plane . . 2907--2926
Toshihiro Iwai and
Toru Hirose Reduction of quantum systems with
symmetry, continuous and discrete . . . 2927--2947
Frédéric Klopp Internal Lifshitz tails for Schrödinger
operators with random potentials . . . . 2948--2958
Alexander Yu. Vlasov Noncommutative tori and universal sets
of nonbinary quantum gates . . . . . . . 2959--2964
D. Anselmi A note on the improvement ambiguity of
the stress tensor and the critical
limits of correlation functions . . . . 2965--2977
Ion I. Cotaescu and
Mihai Visinescu Hierarchy of Dirac, Pauli, and
Klein--Gordon conserved operators in
Taub--NUT background . . . . . . . . . . 2978--2987
Anatoly Konechny and
O. Teoman Turgut Super-Grassmannian and large $N$ limit
of quantum field theory with bosons and
fermions . . . . . . . . . . . . . . . . 2988--3010
E. Mendels Structure conserving parametrization of
Feynman diagrams . . . . . . . . . . . . 3011--3035
Duncan Noltingk Classical history theory of vector
fields . . . . . . . . . . . . . . . . . 3036--3052
Ntina Savvidou Poincaré invariance for continuous-time
histories . . . . . . . . . . . . . . . 3053--3073
Erdal Toprak and
O. Teoman Turgut Large $N$ limit of $ \mbox {SO}(N)$
gauge theory of fermions and Bosons . . 3074--3096
F. Dahia and
C. Romero The embedding of space--times in five
dimensions with nondegenerate Ricci
tensor . . . . . . . . . . . . . . . . . 3097--3106
Maciej Blaszak and
Wen-Xiu Ma New Liouville integrable noncanonical
Hamiltonian systems from the AKNS
spectral problem . . . . . . . . . . . . 3107--3123
Philip Foth Bruhat Poisson structure on $ \mathbb
{CP}^n $ and integrable systems . . . . 3124--3132
R. Sahadevan and
N. Kannagi The coupled modified Korteweg--de Vries
equations: Similarity reduction,
Lie--Bäcklund symmetries and
integrability . . . . . . . . . . . . . 3133--3146
L. Fatibene and
M. Ferraris and
M. Francaviglia and
R. G. McLenaghan Generalized symmetries in mechanics and
field theories . . . . . . . . . . . . . 3147--3161
Dionisios Margetis Radiation of horizontal electric dipole
on large dielectric sphere . . . . . . . 3162--3201
Manuel Núñez Plasma velocity in hydromagnetic dynamos 3202--3206
Manuele Santoprete Symmetric periodic solutions of the
anisotropic Manev problem . . . . . . . 3207--3219
Reuven Segev Metric-independent analysis of the
stress-energy tensor . . . . . . . . . . 3220--3231
Thierry Goudon and
Antoine Mellet Discrete version of the SHE asymptotics:
multigroup neutron transport equations 3232--3260
V. Korepin and
P. Zinn-Justin Inhomogeneous six-vertex model with
domain wall boundary conditions and
Bethe ansatz . . . . . . . . . . . . . . 3261--3267
P. N. Pyatov and
R. Twarock Construction of diffusion algebras . . . 3268--3279
F. Bagarello and
C. Trapani Algebraic dynamics in $ O^* $-algebras:
A perturbative approach . . . . . . . . 3280--3292
Ian M. Davies and
Aubrey Truman and
Huaizhong Zhao Stochastic heat and Burgers equations
and their singularities. I. Geometrical
properties . . . . . . . . . . . . . . . 3293--3328
Steven Duplij and
Wladyslaw Marcinek Regular obstructed categories and
topological quantum field theory . . . . 3329--3341
T. Gorin Integrals of monomials over the
orthogonal group . . . . . . . . . . . . 3342--3351
A. M. Grundland and
W. J. Zakrzewski The Weierstrass representation for
surfaces immersed into $ R^8 $ and $ C
P^2 $ maps . . . . . . . . . . . . . . . 3352--3362
Sven Moch and
Peter Uwer and
Stefan Weinzierl Nested sums, expansion of transcendental
functions, and multiscale multiloop
integrals . . . . . . . . . . . . . . . 3363--3386
G. S. Pogosyan and
P. Winternitz Separation of variables and subgroup
bases on $n$-dimensional hyperboloids 3387--3410
Q. H. Liu and
X. Wang and
W. H. Qi and
L. P. Fu and
B. Hu Erratum: ``The Fejér average and the mean
value of a quantity in a quasiclassical
wave packet'', [J. Math. Phys. \bf 43,
170 (2002)] . . . . . . . . . . . . . . 3411--3411
Andreas U. Schmidt Erratum: ``Infinite infrared
regularization and a state space for the
Heisenberg algebra'', [J. Math. Phys.
\bf 43, 243 (2002)] . . . . . . . . . . 3412--3412
J. E. Avron and
A. Elgart and
G. M. Graf and
L. Sadun Time-energy coherent states and
adiabatic scattering . . . . . . . . . . 3415--3424
Hubert de Guise and
Marco Bertola Coherent state realizations of $ \mbox
{su}(n + 1) $ on the $n$-torus . . . . . 3425--3444
X.-W. Guan and
A. Foerster and
J. Links and
H.-Q Zhou and
A. Prestes Tonel and
R. H. McKenzie Integrable variant of the
one-dimensional Hubbard model . . . . . 3445--3457
B. D. Mestel and
A. H. Osbaldestin Renormalization analysis of correlation
properties in a quasiperiodically forced
two-level system . . . . . . . . . . . . 3458--3483
Masatoshi Sato and
Toshiaki Tanaka $ \mathcal {N} $-fold supersymmetry in
quantum mechanics---analyses of
particular models . . . . . . . . . . . 3484--3510
D. Spehner and
M. Orszag Quantum jump dynamics in cavity QED . . 3511--3537
P. Tempesta and
E. Alfinito and
R. A. Leo and
G. Soliani Quantum models related to fouled
Hamiltonians of the harmonic oscillator 3538--3553
Don Colladay and
Patrick McDonald Redefining spinors in Lorentz-violating
quantum electrodynamics . . . . . . . . 3554--3564
Stephan Mohrdieck Phase space structure and short distance
behavior of local quantum field theories 3565--3574
G. E. Sneddon Conditions for the alignment of the
principal null directions of two
Weyl-like tensors . . . . . . . . . . . 3575--3585
R. Chacón and
A. Martínez García-Hoz Modifying fractal basin boundaries by
reshaping periodic terms . . . . . . . . 3586--3591
E. G. Kalnins and
J. M. Kress and
W. Miller, Jr. and
G. S. Pogosyan Complete sets of invariants for
dynamical systems that admit a
separation of variables . . . . . . . . 3592--3609
M. Klimek Conservation laws for a class of
nonlinear equations with variable
coefficients on discrete and
noncommutative spaces . . . . . . . . . 3610--3635
Vladimir O. Soloviev Boundary values as Hamiltonian
variables. II. Graded structures . . . . 3636--3654
Vladimir O. Soloviev Boundary values as Hamiltonian
variables. III. Ideal fluid with a free
surface . . . . . . . . . . . . . . . . 3655--3675
Leonid G. Fel On Keller theorem for anisotropic media 3676--3677
Nader Haghighipour Resonance dynamics and partial averaging
in a restricted three-body system . . . 3678--3694
J. G. Batisheva and
V. V. Vedenyapin and
S. I. Kuchanov A mathematical problem of the theory of
gelation . . . . . . . . . . . . . . . . 3695--3703
Francesco Guerra and
Fabio Lucio Toninelli Quadratic replica coupling in the
Sherrington--Kirkpatrick mean field spin
glass model . . . . . . . . . . . . . . 3704--3716
Tuncay Aktosun and
James H. Rose Wave focusing on the line . . . . . . . 3717--3745
I. Antoniou and
S. A. Shkarin and
E. Yarevsky The resonance spectrum of the cusp map
in the space of analytic functions . . . 3746--3758
Vittorio Barone Adesi and
Sergio Zerbini Analytic continuation of the Hurwitz
zeta function with physical application 3759--3765
Gueo Grantcharov and
George Papadopoulos and
Yat Sun Poon Reduction of HKT-structures . . . . . . 3766--3782
Mitsuhiro Itoh Contact metric $5$-manifolds, CR twistor
spaces and integrability . . . . . . . . 3783--3797
Avinash Khare and
Uday Sukhatme Cyclic identities involving Jacobi
elliptic functions . . . . . . . . . . . 3798--3806
B. Konopelchenko and
L. Martinez Alonso Dispersionless scalar integrable
hierarchies, Whitham hierarchy, and the
quasiclassical $ \bar {\partial
}$-dressing method . . . . . . . . . . . 3807--3823
S. Lievens and
J. Van der Jeugt $ 3 n j$-coefficients of $ \mbox {su}(1,
1)$ as connection coefficients between
orthogonal polynomials in $n$ variables 3824--3849
T. D. Palev and
J. Van der Jeugt Jacobson generators, Fock
representations and statistics of $ {\rm
sl}(n + 1) $ . . . . . . . . . . . . . . 3850--3873
Bertrand Chauvineau Erratum: ``Euclidean
Friedman--Robertson--Walker cosmology in
Brans--Dicke-like theories of gravity'',
[J. Math. Phys. \bf 43, 1487 (2002)] . . 3874--3874
W. H. Aschbacher and
J. Fröhlich and
G. M. Graf and
K. Schnee and
M. Troyer Symmetry breaking regime in the
nonlinear Hartree equation . . . . . . . 3879--3891
J. Dittrich and
J. Kríz Bound states in straight quantum
waveguides with combined boundary
conditions . . . . . . . . . . . . . . . 3892--3915
C. Emary and
R. F. Bishop Bogoliubov transformations and exact
isolated solutions for simple
nonadiabatic Hamiltonians . . . . . . . 3916--3926
Joshua Feinberg The Dirac operator in a fermion bag
background in $ 1 + 1 $ dimensions and
generalized supersymmetric quantum
mechanics . . . . . . . . . . . . . . . 3927--3936
K. Krajewska and
J. Z. Kaminski Stabilization of impurity states in
crossed magnetic and electric fields . . 3937--3943
Ali Mostafazadeh Pseudo-Hermiticity versus $ P T
$-symmetry III: Equivalence of
pseudo-Hermiticity and the presence of
antilinear symmetries . . . . . . . . . 3944--3951
K. Sogut and
A. Havare and
I. Acikgoz Energy levels and wave functions of
vector bosons in a homogeneous magnetic
field . . . . . . . . . . . . . . . . . 3952--3962
Takashi Ichinose and
Brian Jefferies The propagator of the radial Dirac
equation . . . . . . . . . . . . . . . . 3963--3983
Stephen C. Anco and
Roh S. Tung Properties of the symplectic structure
of general relativity for spatially
bounded space--time regions . . . . . . 3984--4019
J. Carminati and
E. Zakhary On the problem of algebraic completeness
for the invariants of the Riemann
tensor. III . . . . . . . . . . . . . . 4020--4034
Partha Guha Applications of Nambu mechanics to
systems of hydrodynamical type . . . . . 4035--4040
Max Karlovini and
Giuseppe Pucacco and
Kjell Rosquist and
Lars Samuelsson A unified treatment of quartic
invariants at fixed and arbitrary energy 4041--4059
Tingting Liu and
Mengzhao Qin Multisymplectic geometry and
multisymplectic Preissman scheme for the
KP equation . . . . . . . . . . . . . . 4060--4077
Sen-yue Lou and
Chun-li Chen and
Xiao-yan Tang $ (2 + 1)$-dimensional $ (M +
N)$-component AKNS system: Painlevé
integrability, infinitely many
symmetries, similarity reductions and
exact solutions . . . . . . . . . . . . 4078--4109
Jean-Pierre Amiet and
Stefan Weigert Commensurate harmonic oscillators:
Classical symmetries . . . . . . . . . . 4110--4126
Sergei V. Shabanov On a low energy bound in a class of
chiral field theories with solitons . . 4127--4134
J. de Gier and
M. T. Batchelor and
B. Nienhuis and
S. Mitra The XXZ spin chain at $ \Delta = - 1 / 2
$: Bethe roots, symmetric functions, and
determinants . . . . . . . . . . . . . . 4135--4146
Michel Petitjean Chiral mixtures . . . . . . . . . . . . 4147--4157
Hellmut Baumgärtel and
Matthias Jurke and
Fernando Lledó Twisted duality of the CAR-algebra . . . 4158--4179
L. Bégin and
C. Cummins and
L. Lapointe and
P. Mathieu Fusion bases as facets of polytopes . . 4180--4201
Carl M. Bender and
Axel Pelster and
Florian Weissbach Boundary-layer theory, strong-coupling
series, and large-order behavior . . . . 4202--4220
A. N. Leznov The Gelfand--Zeitlin selection rules and
representations of quantum $ A^q_n $
algebras . . . . . . . . . . . . . . . . 4221--4233
Dagmar Bruß Characterizing entanglement . . . . . . 4237--4251
Matthew J. Donald and
Michal Horodecki and
Oliver Rudolph The uniqueness theorem for entanglement
measures . . . . . . . . . . . . . . . . 4252--4272
David A. Meyer and
Nolan R. Wallach Global entanglement in multiparticle
systems . . . . . . . . . . . . . . . . 4273--4278
Benjamin Schumacher and
Michael D. Westmoreland Entanglement and perfect quantum error
correction . . . . . . . . . . . . . . . 4279--4285
Barbara M. Terhal and
Michal Horodecki and
Debbie W. Leung and
David P. DiVincenzo The entanglement of purification . . . . 4286--4298
Karl Gerd H. Vollbrecht and
Michael M. Wolf Conditional entropies and their relation
to entanglement criteria . . . . . . . . 4299--4306
William K. Wootters Parallel transport in an entangled ring 4307--4325
A. S. Holevo On entanglement-assisted classical
capacity . . . . . . . . . . . . . . . . 4326--4333
Peter W. Shor Additivity of the classical capacity of
entanglement-breaking quantum channels 4334--4340
Andreas Winter Scalable programmable quantum gates and
a new aspect of the additivity problem
for the classical capacity of quantum
channels . . . . . . . . . . . . . . . . 4341--4352
R. F. Werner and
A. S. Holevo Counterexample to an additivity
conjecture for output purity of quantum
channels . . . . . . . . . . . . . . . . 4353--4357
Mary Beth Ruskai Inequalities for quantum entropy: A
review with conditions for equality . . 4358--4375
Christof Zalka and
Eleanor Rieffel Quantum operations that cannot be
implemented using a small mixed
environment . . . . . . . . . . . . . . 4376--4381
Mitsuru Hamada A lower bound on the quantum capacity of
channels with correlated errors . . . . 4382--4390
Ryutaroh Matsumoto and
Tomohiko Uyematsu Lower bound for the quantum capacity of
a discrete memoryless quantum channel 4391--4403
Patrick Hayden and
Richard Jozsa and
Andreas Winter Trading quantum for classical resources
in quantum data compression . . . . . . 4404--4444
Aram W. Harrow and
Benjamin Recht and
Isaac L. Chuang Efficient discrete approximations of
quantum gates . . . . . . . . . . . . . 4445--4451
Eric Dennis and
Alexei Kitaev and
Andrew Landahl and
John Preskill Topological quantum memory . . . . . . . 4452--4505
L.-A. Wu and
D. A. Lidar Qubits as parafermions . . . . . . . . . 4506--4525
Howard E. Brandt Secrecy capacity in the four-state
protocol of quantum key distribution . . 4526--4530
Julio Gea-Banacloche Hiding messages in quantum data . . . . 4531--4536
Carlton M. Caves and
Christopher A. Fuchs and
Rüdiger Schack Unknown quantum states: The quantum de
Finetti representation . . . . . . . . . 4537--4559
N. David Mermin Compatibility of state assignments . . . 4560--4566
M. Angélica Astaburuaga and
Pablo Covian and
Claudio Fernández Behavior of the survival probability in
some one-dimensional problems . . . . . 4571--4581
Myung-Hoon Chung and
Jae-Hoon Kwon Reduction of the Hilbert space in
strongly correlated systems . . . . . . 4582--4591
Ömer F. Dayi and
Ahmed Jellal Hall effect in noncommutative
coordinates . . . . . . . . . . . . . . 4592--4601
Nuno Costa Dias and
João Nuno Prata Wigner functions with boundaries . . . . 4602--4627
Boyu Hou and
Kangjie Shi and
Ruihong Yue and
Shaoyou Zhao The dynamical elliptic quantum Gaudin
models and their solutions . . . . . . . 4628--4640
Christopher King Additivity for unital qubit channels . . 4641--4653
M. Kobayashi Method of solving the homogeneous Bloch
equation . . . . . . . . . . . . . . . . 4654--4667
Robert G. Littlejohn and
Paul Wright Semiclassical generalization of the
Darboux--Christoffel formula . . . . . . 4668--4680
D. G. W. Parfitt and
M. E. Portnoi The two-dimensional hydrogen atom
revisited . . . . . . . . . . . . . . . 4681--4691
A. J. van Wonderen and
K. Lendi Unification of the Jaynes--Cummings
model and Planck's radiation law . . . . 4692--4720
Isabella Bierenbaum and
Richard Kreckel and
Dirk Kreimer On the invariance of residues of Feynman
graphs . . . . . . . . . . . . . . . . . 4721--4740
Andrei A. Galiautdinov and
David R. Finkelstein Chronon corrections to the Dirac
equation . . . . . . . . . . . . . . . . 4741--4752
Hanno Gottschalk Complex velocity transformations and the
Bisognano--Wichmann theorem for quantum
fields acting on Krein spaces . . . . . 4753--4769
Kostyantin Ilyenko Twistor representation of null
two-surfaces . . . . . . . . . . . . . . 4770--4789
Aalok Misra The peculiarity of a negative coordinate
axis in dyonic solutions of
noncommutative \boldmath $ \mathcal {N}
= 4 $ super Yang--Mills . . . . . . . . 4790--4800
Duncan Noltingk Becchi--Rouet--Stora--Tyutin
quantization of histories
electrodynamics . . . . . . . . . . . . 4801--4818
Xavier Siemens and
Ken D. Olum Chiral superconducting strings and
Nambu--Goto strings in arbitrary
dimensions . . . . . . . . . . . . . . . 4819--4827
O. Teoman Turgut On three-dimensional coupled bosons . . 4828--4838
K. Buchner $ 1 / r$-potential without charge . . . 4839--4848
Alan A. Coley and
R. J. van den Hoogen Inhomogeneous M-theory cosmologies . . . 4849--4860
José Luis Flores and
Miguel Sánchez A topological method for geodesic
connectedness of space--times: Outer
Kerr space--time . . . . . . . . . . . . 4861--4885
Merab Gogberashvili Embedding of the brane into six
dimensions . . . . . . . . . . . . . . . 4886--4888
L. Herrera and
J. Martin and
J. Ospino Anisotropic geodesic fluid spheres in
general relativity . . . . . . . . . . . 4889--4897
Emmanuel Kohlprath Schwinger terms in gravitation in two
dimensions as a consequence of the
gravitational anomaly . . . . . . . . . 4898--4903
Hongya Liu and
Qiuyang Zhang Time-dependent solution for a star
immersed in a background radiation . . . 4904--4908
Víctor M. Villalba and
Esteban Isasi Catalá Separation of variables and exact
solution of the Klein--Gordon and Dirac
equations in an open universe . . . . . 4909--4920
J. M. Dye and
A. Parker A bidirectional Kaup--Kupershmidt
equation and directionally dependent
solitons . . . . . . . . . . . . . . . . 4921--4949
Yishen Li and
Wen-Xiu Ma A nonconfocal involutive system and
constrained flows associated with the
MKdV$_{--}$ equation . . . . . . . . . . 4950--4962
Satoru Saito and
Akira Shudo and
Jun-ichi Yamamoto and
Katsuhiko Yoshida Hamiltonian flow associated with a
two-dimensional map . . . . . . . . . . 4963--4965
Izu Vaisman Hamiltonian structures on foliations . . 4966--4977
Zhenya Yan and
Hongqing Zhang A family of new integrable couplings
with two arbitrary functions of TC
hierarchy . . . . . . . . . . . . . . . 4978--4986
Xiang Zhang Exponential factors and Darbouxian first
integrals of the Lorenz system . . . . . 4987--5001
Zixiang Zhou Liouville integrability of the finite
dimensional Hamiltonian systems derived
from principal chiral field . . . . . . 5002--5012
E. Fiorani and
G. Giachetta and
G. Sardanashvily Geometric quantization of time-dependent
completely integrable Hamiltonian
systems . . . . . . . . . . . . . . . . 5013--5025
R. Rivera and
D. Villarroel A family of solutions with radiation
reaction and retarded interactions for
two charges in classical electrodynamics 5026--5044
Vaughan H. Weston and
B. Lars G. Jonsson Wave front layer stripping approach to
inverse scattering for the wave equation 5045--5059
Go Kato and
Miki Wadati Direct calculation of thermodynamic
quantities for the Heisenberg model . . 5060--5078
Qiuping A. Wang and
Alain Le Méhauté Extensive form of equilibrium
nonextensive statistics . . . . . . . . 5079--5089
T. M. Garoni and
N. E. Frankel $d$-dimensional Lévy flights: Exact and
asymptotic . . . . . . . . . . . . . . . 5090--5107
James D. Louck A new parametrization and all integral
realizations of the Lorentz group . . . 5108--5134
T. Prosen and
T. H. Seligman and
H. A. Weidenmüller Integration over matrix spaces with
unique invariant measures . . . . . . . 5135--5144
M. Rausch de Traubenberg and
M. J. Slupinski Finite-dimensional Lie algebras of order
$F$ . . . . . . . . . . . . . . . . . . 5145--5160
O. G. Smolyanov and
A. G. Tokarev and
A. Truman Hamiltonian Feynman path integrals via
the Chernoff formula . . . . . . . . . . 5161--5171
G. F. Torres del Castillo and
F. J. Hernández-Moreno Multipole expansion of a plane wave . . 5172--5178
S. Benenti and
C. Chanu and
G. Rastelli Remarks on the connection between the
additive separation of the
Hamilton--Jacobi equation and the
multiplicative separation of the
Schrödinger equation. I. The completeness
and Robertson conditions . . . . . . . . 5183--5222
S. Benenti and
C. Chanu and
G. Rastelli Remarks on the connection between the
additive separation of the
Hamilton--Jacobi equation and the
multiplicative separation of the
Schrödinger equation. II. First integrals
and symmetry operators . . . . . . . . . 5223--5253
Dorje C. Brody and
Lane P. Hughston Efficient simulation of quantum state
reduction . . . . . . . . . . . . . . . 5254--5261
S. Chaturvedi and
N. Mukunda The Schwinger $ {\rm SU}(3) $
construction. I. Multiplicity problem
and relation to induced representations 5262--5277
S. Chaturvedi and
N. Mukunda The Schwinger $ {\rm SU}(3) $
construction. II. Relations between
Heisenberg--Weyl and $ {\rm SU}(3) $
coherent states . . . . . . . . . . . . 5278--5309
Asish Ganguly New classes of quasi-solvable
potentials, their exactly solvable
limit, and related orthogonal
polynomials . . . . . . . . . . . . . . 5310--5324
Hans-Christoph Kaiser and
Hagen Neidhardt and
Joachim Rehberg Density and current of a dissipative
Schrödinger operator . . . . . . . . . . 5325--5350
Manu Mathur and
H. S. Mani SU( $N$ ) coherent states . . . . . . . 5351--5364
Michael Melgaard On bound states for systems of weakly
coupled Schrödinger equations in one
space dimension . . . . . . . . . . . . 5365--5385
Andrea Posilicano and
Stefania Ugolini Scattering into cones and flux across
surfaces in quantum mechanics: A
pathwise probabilistic approach . . . . 5386--5399
D. J. Rowe and
J. Repka Coherent state triplets and their inner
products . . . . . . . . . . . . . . . . 5400--5438
L. Solombrino Weak pseudo-Hermiticity and antilinear
commutant . . . . . . . . . . . . . . . 5439--5445
Bassano Vacchini Quantum optical versus quantum Brownian
motion master equation in terms of
covariance and equilibrium properties 5446--5458
A. Yildiz Quantum group covariance and the braided
structure of deformed oscillators . . . 5459--5469
Dongho Chae and
Myeongju Chae The global existence in the Cauchy
problem of the
Maxwell--Chern--Simons--Higgs system . . 5470--5482
Z. Haba Scale invariant Euclidean field theory
in any dimension . . . . . . . . . . . . 5483--5492
C. J. Isham and
K. Savvidou The foliation operator in history
quantum field theory . . . . . . . . . . 5493--5513
Alexander Strohmaier and
Rainer Verch and
Manfred Wollenberg Microlocal analysis of quantum fields on
curved space--times: Analytic wave front
sets and Reeh--Schlieder theorems . . . 5514--5530
Stephen C. Anco and
Roh S. Tung Covariant Hamiltonian boundary
conditions in General Relativity for
spatially bounded space--time regions 5531--5566
A. A. Coley and
G. S. Hall and
A. J. Keane and
B. O. J. Tupper The maximum dimension of the inheriting
algebra in perfect fluid space--times 5567--5577
Simonetta Frittelli and
A. O. Petters Wavefronts, caustic sheets, and caustic
surfing in gravitational lensing . . . . 5578--5611
José A. Zapata Continuum spin foam model for 3d gravity 5612--5623
K. Yu. Bliokh Generalization of Berry's geometric
phase, equivalence of the Hamiltonian
nature, quantizability and strong
stability of linear oscillatory systems,
and conservation of adiabatic invariants 5624--5636
Yasushi Komori Elliptic Ruijsenaars operators and
functional equations . . . . . . . . . . 5637--5653
W. Sarlet and
T. Mestdag and
E. Martínez Lie algebroid structures on a class of
affine bundles . . . . . . . . . . . . . 5654--5674
A. P. Veselov On generalizations of the
Calogero--Moser--Sutherland quantum
problem and WDVV equations . . . . . . . 5675--5682
C. Athanasiadis and
P. A. Martin and
A. Spyropoulos and
I. G. Stratis Scattering relations for point sources:
Acoustic and electromagnetic waves . . . 5683--5697
D. Fortunato and
L. Orsina and
L. Pisani Born--Infeld type equations for
electrostatic fields . . . . . . . . . . 5698--5706
Peter Laurence and
Edward W. Stredulinsky Optimal regularity in a variational
problem for current sheets in ideal
magnetohydrodynamics . . . . . . . . . . 5707--5719
S. Bhattacharya and
J. Blawzdziewicz Image system for Stokes-flow singularity
between two parallel planar walls . . . 5720--5731
Daniela Garajeu Bethe ansatz for the Gaudin model and
its relation with
Knizhnik--Zamolodchikov equations . . . 5732--5756
G. Bandelloni and
S. Lazzarini $ \mathcal {W}_{\infty } $-algebras in
$n$ complex dimensions and
Kodaira--Spencer deformations: A
symplectic approach . . . . . . . . . . 5757--5772
Indranil Biswas Analog of secondary invariants for
holomorphic vector bundles . . . . . . . 5773--5781
N. Mankoc Borstnik and
H. B. Nielsen How to generate spinor representations
in any dimension in terms of projection
and nilpotent operators . . . . . . . . 5782--5803
F. Dahia and
C. Romero The embedding of the space--time in five
dimensions: An extension of the
Campbell--Magaard theorem . . . . . . . 5804--5814
Stefano De Leo and
Giuseppe Scolarici and
Luigi Solombrino Quaternionic eigenvalue problem . . . . 5815--5829
Ioana Dumitriu and
Alan Edelman Matrix models for beta ensembles . . . . 5830--5847
Y. Brihaye and
B. Hartmann and
D. H. Tchrakian Monopoles and dyons in $ {\rm SO}(3) $
gauged Skyrme models: Corrigendum . . . 5848--5851
Miguel Angel Alonso and
George S. Pogosyan and
Kurt Bernardo Wolf Wigner functions for curved spaces. I.
On hyperboloids . . . . . . . . . . . . 5857--5871
A. Arias and
A. Gheondea and
S. Gudder Fixed points of quantum operations . . . 5872--5881
Nuno Costa Dias Classicality criteria . . . . . . . . . 5882--5901
Simon Gravel and
Pavel Winternitz Superintegrability with third-order
integrals in quantum and classical
mechanics . . . . . . . . . . . . . . . 5902--5912
Richard L. Hall and
Wolfgang Lucha and
Franz F. Schöberl Convexity and potential sums for
Salpeter-type Hamiltonians . . . . . . . 5913--5925
Shogo Tanimura Magnetic translation groups in an
$n$-dimensional torus and their
representations . . . . . . . . . . . . 5926--5948
Tai Tsun Wu and
Ming Lun Yu Theory and application of Fermi
pseudo-potential in one dimension . . . 5949--5976
Zu-Jian Ying and
You-Quan Li and
Shi-Jian Gu and
Bin Chen Extension of Bethe ansatz to multiple
occupancies for one-dimensional $ {\rm
SU}(4) $ fermions with $ \delta
$-function interaction . . . . . . . . . 5977--5986
A. Barkallil and
G. Barnich and
C. Schomblond Results on the Wess--Zumino consistency
condition for arbitrary Lie algebras . . 5987--6015
M. A. Grebeniuk and
V. D. Ivashchuk and
S.-W. Kim Black-brane solution for $ C_2 $ algebra 6016--6023
W. N. Polyzou Cluster properties in relativistic
quantum mechanics of $N$-particle
systems . . . . . . . . . . . . . . . . 6024--6063
J. Shabani and
A. Vyabandi Exactly solvable models of relativistic
$ \delta $-sphere interactions in
quantum mechanics . . . . . . . . . . . 6064--6084
Ioannis Smyrnakis Boundary states, extended symmetry
algebra, and module structure for
certain rational torus models . . . . . 6085--6095
K. A. Bronnikov Scalar-tensor gravity and conformal
continuations . . . . . . . . . . . . . 6096--6115
J. C. Brunelli and
G. A. T. F. da Costa On the nonlocal equations and nonlocal
charges associated with the Harry Dym
hierarchy . . . . . . . . . . . . . . . 6116--6128
V. Rosenhaus Infinite symmetries and conservation
laws . . . . . . . . . . . . . . . . . . 6129--6150
E. Tzirtzilakis and
V. Marinakis and
C. Apokis and
T. Bountis Soliton-like solutions of higher order
wave equations of the Korteweg--de Vries
type . . . . . . . . . . . . . . . . . . 6151--6165
Hans Lundmark and
Stefan Rauch-Wojciechowski Driven Newton equations and separable
time-dependent potentials . . . . . . . 6166--6194
Maurice H. P. M. van Putten Uniqueness in MHD in divergence form:
Right nullvectors and well-posedness . . 6195--6208
F. Auil Four-particle decay of the
Bethe--Salpeter kernel in the
high-temperature Ising model . . . . . . 6209--6223
Francesco Guerra and
Fabio Lucio Toninelli Central limit theorem for fluctuations
in the high temperature region of the
Sherrington--Kirkpatrick spin glass
model . . . . . . . . . . . . . . . . . 6224--6237
D. Arnaudon and
A. Chakrabarti and
V. K. Dobrev and
S. G. Mihov Duality and representations for new
exotic bialgebras . . . . . . . . . . . 6238--6264
D. Borisov and
P. Exner and
R. Gadyl'shin Geometric coupling thresholds in a
two-dimensional strip . . . . . . . . . 6265--6278
Lars Brink and
Abu M. Khan and
Pierre Ramond and
Xiaozhen Xiong Continuous spin representations of the
Poincaré and super-Poincaré groups . . . . 6279--6295
Lianrong Dai and
Feng Pan and
J. P. Draayer Analytical expressions for some
multiplicity-free isoscalar factors of $
S_f \supset S_{f - 1} $ . . . . . . . . 6296--6306
G. Fiore and
M. Maceda and
J. Madore Metrics on the real quantum plane . . . 6307--6324
F. T. Hioe $N$ coupled nonlinear Schrödinger
equations: Special set and applications
to $ N = 3$ . . . . . . . . . . . . . . 6325--6338
Peter R. Law De Rham--Wu decomposition of holomorphic
Riemannian manifolds . . . . . . . . . . 6339--6342
Ali Mostafazadeh Pseudo-Hermiticity for a class of
nondiagonalizable Hamiltonians . . . . . 6343--6352
Jirí Patera and
Edita Pelantová and
Milena Svobodová The eight fine gradings of $ \mbox
{sl}(4, \mathbb {C}) $ and $ \mbox
{o}(6, \mathbb {C}) $ . . . . . . . . . 6353--6378
T. Garidi and
J.-P. Gazeau and
M. V. Takook Comment on: ``\,`Massive' vector field
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J. Shabani and
A. Vyabandi A note on a series of papers on
relativistic $ \delta $-sphere
interactions in quantum mechanics
published by M. N. Hounkonnou and G. Y.
H. Avossevou in the Journal of
Mathematical Physics . . . . . . . . . . 6380--6384
Atsushi Higuchi Erratum: ``Symmetric tensor spherical
harmonics on the $N$-sphere and their
application to the de Sitter group $
\mbox {SO}(N, 1)$'', [J. Math. Phys. 28,
1553 (1987)] . . . . . . . . . . . . . . 6385--6385
F. Bentosela and
Ph. Briet and
L. Pastur On the spectral and wave propagation
properties of the surface Maryland model 1--35
J. S. Dehesa and
A. Martínez-Finkelshtein and
V. N. Sorokin Asymptotics of information entropies of
some Toda-like potentials . . . . . . . 36--47
Anupam Garg and
Evgueny Kochetov and
Kee-Su Park and
Michael Stone Spin coherent-state path integrals and
the instanton calculus . . . . . . . . . 48--70
Yukihiro Hashimoto and
Akihito Hora and
Nobuaki Obata Central limit theorems for large graphs:
Method of quantum decomposition . . . . 71--88
Yuzuru Inahama and
Shin-ichi Shirai The essential spectrum of Schrödinger
operators with asymptotically constant
magnetic fields on the Poincaré
upper-half plane . . . . . . . . . . . . 89--106
Eliezer Batista and
Shahn Majid Noncommutative geometry of angular
momentum space $ U(\mathfrak {SU}(2)) $ 107--137
Franco Ferrari Chern--Simons field theories with
non-semisimple gauge group of symmetry 138--145
A. V. Grinchuk and
E. A. Ushakov Path integrals evaluation in
two-dimensional de Sitter space . . . . 146--155
Marcos Mariño and
Ricardo Schiappa Towards vacuum superstring field theory:
The supersliver . . . . . . . . . . . . 156--187
S. Pennisi An exact fluid model for relativistic
electron beams . . . . . . . . . . . . . 188--197
O. Teoman Turgut On two dimensional coupled bosons and
fermions . . . . . . . . . . . . . . . . 198--219
George Dassios and
Fotini Kariotou Magnetoencephalography in ellipsoidal
geometry . . . . . . . . . . . . . . . . 220--241
Attilio Maccari The investigation into new integrable
systems of equations in $ 2 +
1$-dimensions . . . . . . . . . . . . . 242--250
Ian A. B. Strachan Deformations of the Monge/Riemann
hierarchy and approximately integrable
systems . . . . . . . . . . . . . . . . 251--262
Wulf Böttger and
Henning Wissowski and
Hans A. Kastrup Constructing solutions of
Hamilton--Jacobi equations for 2D fields
with one component by means of Bäcklund
transformations . . . . . . . . . . . . 263--301
D. Arnaudon and
J. Avan and
N. Crampé and
L. Frappat and
E. Ragoucy $ {R}$-matrix presentation for
super-Yangians $ Y(\mbox {osp}(m|2 n))$ 302--308
Carl M. Bender and
Dorje C. Brody and
Bernhard K. Meister On powers of Bessel functions . . . . . 309--314
David De Wit A Poincaré--Birkhoff--Witt commutator
lemma for $ {\rm U}_q[{\rm gl}(m | n)] $ 315--327
A. M. Grundland and
W. J. Zakrzewski On certain geometric aspects of $ C P^N
$ harmonic maps . . . . . . . . . . . . 328--337
Rei Inoue The extended Lotka--Volterra lattice and
affine Jacobi varieties of spectral
curves . . . . . . . . . . . . . . . . . 338--351
Alexander Wurm and
Nurit Krausz and
Cécile DeWitt-Morette and
Marcus Berg Fourier transforms of Lorentz invariant
functions . . . . . . . . . . . . . . . 352--365
Mitsuhiro Itoh Erratum: ``Contact metric $5$-manifolds,
CR twistor spaces and integrability,'',
[J. Math. Phys. 43, 3783 (2002)] . . . . 366--368
J. Brüning and
V. A. Geyler Scattering on compact manifolds with
infinitely thin horns . . . . . . . . . 371--405
K. Chadan and
N. N. Khuri and
A. Martin and
Tai Tsun Wu Bound states in one and two spatial
dimensions . . . . . . . . . . . . . . . 406--422
D. Dürr and
P. Pickl Flux-across-surfaces theorem for a Dirac
particle . . . . . . . . . . . . . . . . 423--465
Teiko Heinonen and
Pekka Lahti and
Juha-Pekka Pellonpää Covariant phase difference observables
in quantum mechanics . . . . . . . . . . 466--479
Maciej Horowski and
Anatol Odzijewicz and
Agnieszka Tereszkiewicz Some integrable systems in nonlinear
quantum optics . . . . . . . . . . . . . 480--506
Clotilde Fermanian Kammerer and
Caroline Lasser Wigner measures and codimension two
crossings . . . . . . . . . . . . . . . 507--527
Debbie W. Leung Choi's proof as a recipe for quantum
process tomography . . . . . . . . . . . 528--533
Timothy F. Havel Robust procedures for converting among
Lindblad, Kraus and matrix
representations of quantum dynamical
semigroups . . . . . . . . . . . . . . . 534--557
N. Read Non-Abelian braid statistics versus
projective permutation statistics . . . 558--563
Teppei Watanabe A connection between distributivity and
locality in compound P-lattices . . . . 564--569
Roberto Contino and
Andrea Gambassi On dimensional regularization of sums 570--587
L. Da Rold and
C. D. Fosco and
A. López Interacting fermions and domain wall
defects in $ 2 + 1 $ dimensions . . . . 588--598
Ariel Edery Casimir energy of a relativistic perfect
fluid confined to a $D$-dimensional
hypercube . . . . . . . . . . . . . . . 599--610
T. Grandou Proof of a mass singularity free
property in high temperature QCD . . . . 611--640
Jacek Jezierski Geometry of crossing null shells . . . . 641--661
J. E. B. Mendy Scalar and spin-(1/2) particle creation
in gravitational and constant electric
field backgrounds . . . . . . . . . . . 662--675
P. P. Kulish and
N. Manojlovic Trigonometric $ {\rm osp}(1 | 2) $
Gaudin model . . . . . . . . . . . . . . 676--700
Zhijun Qiao and
Cewen Cao and
Walter Strampp Category of nonlinear evolution
equations, algebraic structure, and
$r$-matrix . . . . . . . . . . . . . . . 701--722
Changsoo Bahn and
Chul Ki Ko and
Yong Moon Park Dirichlet forms and symmetric Markovian
semigroups on CCR algebras with respect
to quasi-free states . . . . . . . . . . 723--753
Carina Boyallian and
Victor G. Kac and
Jose I. Liberati Finite growth representations of
infinite Lie conformal algebras . . . . 754--770
Rutwig Campoamor-Stursberg On the invariants of some solvable rigid
Lie algebras . . . . . . . . . . . . . . 771--784
A. Chakrabarti and
R. Chakrabarti Modified braid equations, Baxterizations
and noncommutative spaces for the
quantum groups GL$_q$ ( $N$ ), SO$_q$ (
$N$ ), and Sp$_q$ ( $N$ ) . . . . . . . 785--812
A. M. Grundland and
W. J. Zakrzewski On certain geometric aspects of $ C P^N
$ harmonic maps . . . . . . . . . . . . 813--822
N. Z. Iorgov and
A. U. Klimyk A Laplace operator and harmonics on the
quantum complex vector space . . . . . . 823--848
Armik V. M. Khachatourian and
Anders O. Wistrom A sum rule for associated Legendre
polynomials with spherical triangles . . 849--852
Alain Mazzolo Probability density distribution of
random line segments inside a convex
body: Application to random media . . . 853--863
Preeti Parashar Induced representations of $ {\rm U}_q
{\rm so}(5) $ . . . . . . . . . . . . . 864--881
R. Sahadevan and
S. Khousalya Belov--Chaltikian and Blaszak--Marciniak
lattice equations: Recursion operators
and factorization . . . . . . . . . . . 882--898
Bernd Sing Kolakoski-$ (2 m, 2 n) $ are
limit-periodic model sets . . . . . . . 899--912
Peter Topalov Geodesic compatibility and integrability
of geodesic flows . . . . . . . . . . . 913--929
S. Wickramasekara and
A. Bohm Representation of semigroups in rigged
Hilbert spaces: Subsemigroups of the
Weyl--Heisenberg group . . . . . . . . . 930--942
Ali Mostafazadeh Erratum: ``Pseudo-Hermiticity for a
class of nondiagonalizable
Hamiltonians'', [J. Math. Phys. \bf 43,
6343 (2002)] . . . . . . . . . . . . . . 943--943
Túlio O. Carvalho and
César R. de Oliveira Critical energies in random palindrome
models . . . . . . . . . . . . . . . . . 945--961
J. Cízek and
J. Zamastil and
L. Skála New summation technique for rapidly
divergent perturbation series. Hydrogen
atom in magnetic field . . . . . . . . . 962--968
Lajos Molnár and
Werner Timmermann Preserving the measure of compatibility
between quantum states . . . . . . . . . 969--973
Ali Mostafazadeh Pseudo-Hermiticity and generalized $ P T
$- and \em CPT-symmetries . . . . . . . 974--989
Shin-ichi Shimada Resolvent convergence of sphere
interactions to point interactions . . . 990--1005
Stephen C. Anco Gauge theories of Yang--Mills vector
fields coupled to antisymmetric tensor
fields . . . . . . . . . . . . . . . . . 1006--1043
Iver Brevik and
Andrei A. Bytsenko and
Roger Sollie Thermodynamic properties of the $ 2 N
$-piece relativistic string . . . . . . 1044--1055
R. Cartas-Fuentevilla Adjoint operators, gauge invariant
perturbations, and covariant symplectic
form for black holes in string theory 1056--1070
Antonella Marini and
Lorenzo Sadun Spherically symmetric solutions of a
boundary value problem for monopoles . . 1071--1083
S. Q. Wu and
X. Cai Massive complex scalar field in the
Kerr--Sen geometry: Exact solution of
wave equation and Hawking radiation . . 1084--1088
F. Belgiorno Quasi-homogeneous thermodynamics and
black holes . . . . . . . . . . . . . . 1089--1128
Antonio N. Bernal and
Miguel Sánchez Leibnizian, Galilean and Newtonian
structures of space--time . . . . . . . 1129--1149
E. V. Ferapontov and
M. V. Pavlov Reciprocal transformations of
Hamiltonian operators of hydrodynamic
type: Nonlocal Hamiltonian formalism for
linearly degenerate systems . . . . . . 1150--1172
Werner M. Seiler Involution analysis of the partial
differential equations characterizing
Hamiltonian vector fields . . . . . . . 1173--1182
A. V. Yurov Discrete symmetry's chains and links
between integrable equations . . . . . . 1183--1201
Valery Imaikin and
Alexander Komech and
Peter A. Markowich Scattering of solitons of the
Klein--Gordon equation coupled to a
classical particle . . . . . . . . . . . 1202--1217
Manuel Núñez Transport of energy in dissipative
advection phenomena . . . . . . . . . . 1218--1225
Cristian Predescu The partial averaging method . . . . . . 1226--1239
J. Rubinstein and
P. Sternberg Limits of a Ginzburg--Landau model with
codimension-one defects . . . . . . . . 1240--1251
C. Briot and
E. Ragoucy Twisted super-Yangians and their
representations . . . . . . . . . . . . 1252--1275
Heng Fan and
Boyu Hou and
Kangjie Shi and
Ruihong Yue and
Shaoyou Zhao The dynamical Yang--Baxter relation and
the minimal representation of the
elliptic quantum group . . . . . . . . . 1276--1296
Gaetano Fiore and
Harold Steinacker and
Julius Wess Unbraiding the braided tensor product 1297--1321
Laurent Freidel and
Etera R. Livine Spin networks for noncompact groups . . 1322--1356
Sen-Zhong Huang An operator method for finding exact
solutions to vector Korteweg--de Vries
equations . . . . . . . . . . . . . . . 1357--1388
Hoil Kim and
Chang-Yeong Lee $ {N}$-point deformation of algebraic K3
surfaces . . . . . . . . . . . . . . . . 1389--1395
Mikio Murata and
Hidetaka Sakai and
Jin Yoneda Riccati solutions of discrete Painlevé
equations with Weyl group symmetry of
type $ E_8^{(1)} $ . . . . . . . . . . . 1396--1414
S. Murugesh and
Radha Balakrishnan Geometric characterizations of the Lamb
equation . . . . . . . . . . . . . . . . 1415--1435
Lyle Noakes Null cubics and Lie quadratics . . . . . 1436--1448
V. F. Tarasov W. Gordon's integral (1929) and its
representations by means of Appell's
functions $ F_2 $, $ F_1 $, and $ F_3 $ 1449--1452
D. G. W. Parfitt and
M. E. Portnoi Addendum: ``The two-dimensional hydrogen
atom revisited'', [J. Math. Phys. \bf
43, 4681 (2002)] . . . . . . . . . . . . 1453--1453
Mahmoud Abdel-Aty An investigation of entanglement and
quasiprobability distribution in a
generalized Jaynes--Cummings model . . . 1457--1471
Miguel Angel Alonso and
George S. Pogosyan and
Kurt Bernardo Wolf Wigner functions for curved spaces. II.
On spheres . . . . . . . . . . . . . . . 1472--1489
Salvador Arellano-Balderas and
Valeri V. Kucherenko On the boson spectrum of the $N$
particle Schrödinger operator with
periodic binary potential (dense matter) 1490--1511
Nihat Ay and
Wilderich Tuschmann Duality versus dual flatness in quantum
information geometry . . . . . . . . . . 1512--1518
F. Bagarello Multiresolution analysis generated by a
seed function . . . . . . . . . . . . . 1519--1534
Laurence Barker Continuum quantum systems as limits of
discrete quantum systems. IV. Affine
canonical transforms . . . . . . . . . . 1535--1553
Fabian Brau and
Francesco Calogero Upper and lower limits for the number of
S-wave bound states in an attractive
potential . . . . . . . . . . . . . . . 1554--1575
Yves Brihaye and
Betti Hartmann Multiple algebraisations of an elliptic
Calogero--Sutherland model . . . . . . . 1576--1583
Michael J. Gruber Positive measure spectrum for Schrödinger
operators with periodic magnetic fields 1584--1595
Jeffrey D. Olson and
Jonathan Lee Mace Wave function confinement via transfer
matrix methods . . . . . . . . . . . . . 1596--1624
L. Samaj and
J. K. Percus and
P. Kalinay Boundary behavior of quantum Green's
functions . . . . . . . . . . . . . . . 1625--1637
Zdzislaw Brzezniak and
Brian Jefferies Renormalization of Coulomb interactions
for the 1D Dirac equation . . . . . . . 1638--1659
V. Jonauskas and
R. Karazija General relations between radial
integrals in nonrelativistic and
relativistic calculation schemes . . . . 1660--1665
Avner Ash and
Patrick McDonald Moment problems and the causal set
approach to quantum gravity . . . . . . 1666--1678
J. Gariel and
G. Marcilhacy and
N. O. Santos A new approach of the stationary
axisymmetric vacuum S(A) solutions . . . 1679--1687
Jing-Bo Chen and
Han-Ying Guo and
Ke Wu Total variation in Hamiltonian formalism
and symplectic-energy integrators . . . 1688--1702
Ayse Karasu Kalkanli and
Sergei Yu. Sakovich and
Ísmet Yurdusen Integrability of Kersten--Krasil'shchik
coupled KdV--mKdV equations: singularity
analysis and Lax pair . . . . . . . . . 1703--1708
Enrico Massa and
Enrico Pagani and
Stefano Vignolo Legendre transformation and analytical
mechanics: A geometric approach . . . . 1709--1722
J. Abad and
J. Sesma Asymptotic expansion of the
quasiconfluent hypergeometric function 1723--1729
M. Arik and
B. T. Kaynak Noncommutative phase and unitarization
of $ \mbox {GL}_{p, q}(2) $ . . . . . . 1730--1734
John J. Benedetto and
Wojciech Czaja and
Andrei Ya. Maltsev The Balian--Low theorem for the
symplectic form on $ \mathbb {R}^{2d} $ 1735--1750
S. Chakravarty and
R. Halburd First integrals of a generalized
Darboux--Halphen system . . . . . . . . 1751--1762
Jan L. Cieslinski and
Marek Czachor and
Nikolai V. Ustinov Darboux covariant equations of von
Neumann type and their generalizations 1763--1780
Aristophanes Dimakis and
Folkert Müller-Hoissen Differential geometry of group lattices 1781--1821
Avinash Khare and
Arul Lakshminarayan and
Uday Sukhatme Cyclic identities for Jacobi elliptic
and related functions . . . . . . . . . 1822--1841
Hatem Najar Lifshitz tails for random acoustic
operators . . . . . . . . . . . . . . . 1842--1867
Jòrgen Rasmussen $ \mathcal {N}$-point and higher-genus $
\mbox {osp}(1 |2)$ fusion . . . . . . . 1868--1881
V. Vasilchuk On the asymptotic distribution of the
commutator and anticommutator of random
matrices . . . . . . . . . . . . . . . . 1882--1908
F. T. Hioe Erratum: ``$N$ coupled nonlinear
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M. Aunola The discretized harmonic oscillator:
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J. C. A. Barata and
D. A. Cortez Perturbative analysis of dynamical
localization . . . . . . . . . . . . . . 1937--1960
Thomas Chen and
Vitali Vougalter and
Semjon A. Vugalter The increase of binding energy and
enhanced binding in nonrelativistic QED 1961--1970
Setsuro Fujiié and
Thierry Ramond Breit--Wigner formula at barrier tops 1971--1983
G. Giachetta and
L. Mangiarotti and
G. Sardanashvily Bi-Hamiltonian partially integrable
systems . . . . . . . . . . . . . . . . 1984--1997
Teiko Heinonen and
Pekka Lahti and
Juha-Pekka Pellonpää and
Sylvia Pulmannova and
Kari Ylinen The norm-1-property of a quantum
observable . . . . . . . . . . . . . . . 1998--2008
Yisong Yang Rigorous proof of isotope effect by
Bardeen--Cooper--Schrieffer theory . . . 2009--2025
Emanuela Caliceti Distributional Borel summability for
vacuum polarization by an external
electric field . . . . . . . . . . . . . 2026--2036
Jens Mund Modular localization of massive
particles with ``any'' spin in $ d = 2 +
1 $ . . . . . . . . . . . . . . . . . . 2037--2057
A. G. Smirnov Towards Euclidean theory of infrared
singular quantum fields . . . . . . . . 2058--2076
S. Izumiya and
S. Janeczko A symplectic framework for multiplane
gravitational lensing . . . . . . . . . 2077--2093
D. C. Robinson Generalized forms and Einstein's
equations . . . . . . . . . . . . . . . 2094--2110
M. Marcelli and
M. C. Nucci Lie point symmetries and first
integrals: The Kowalevski top . . . . . 2111--2132
Dalcio K. Dacol and
Dilip G. Roy Wave scattering in waveguides . . . . . 2133--2148
Manuel F. Rañada and
Mariano Santander On harmonic oscillators on the
two-dimensional sphere $ S^2 $ and the
hyperbolic plane $ H^2 $. II . . . . . . 2149--2167
Z. Yoshida and
S. Ohsaki and
A. Ito and
S. M. Mahajan Stability of Beltrami flows . . . . . . 2168--2178
E. K. Lenzi and
R. S. Mendes and
Kwok Sau Fa and
L. C. Malacarne and
L. R. da Silva Anomalous diffusion: Fractional
Fokker--Planck equation and its
solutions . . . . . . . . . . . . . . . 2179--2185
Damir Bakic and
Boris Guljas Wigner's theorem in a class of Hilbert $
C^* $-modules . . . . . . . . . . . . . 2186--2191
Carina Boyallian and
José I. Liberati Representations of a symplectic type
subalgebra of $ W_{\infty } $ . . . . . 2192--2205
R. M. Brouwer A bicategorical approach to Morita
equivalence for von Neumann algebras . . 2206--2214
M. Carvalho and
A. L. Oliveira A new realization for the $d$ = 2
topological algebra . . . . . . . . . . 2215--2223
Stefano De Leo and
Gisele C. Ducati Solving simple quaternionic differential
equations . . . . . . . . . . . . . . . 2224--2233
Adam Doliwa Geometric discretization of the Koenigs
nets . . . . . . . . . . . . . . . . . . 2234--2249
Loyal Durand Fractional operators and special
functions. I. Bessel functions . . . . . 2250--2265
Loyal Durand Fractional operators and special
functions. II. Legendre functions . . . 2266--2292
Jeffrey S. Geronimo and
Henri Navelet On certain integrals that appear in
conformal field theory . . . . . . . . . 2293--2319
Nail R. Khusnutdinov On the uniform asymptotic expansion of
the Legendre functions . . . . . . . . . 2320--2330
M. Kobayashi Toward solving the inhomogeneous Bloch
equation . . . . . . . . . . . . . . . . 2331--2341
A. N. Leznov and
R. Torres-Cordoba Discrete transformation for the matrix
three-wave problem in three dimensional
space . . . . . . . . . . . . . . . . . 2342--2352
Armik V. M. Khachatourian and
Anders O. Wistrom Erratum: ``A sum rule for associated
Legendre polynomials with spherical
triangles'', [J. Math. Phys. \bf 44, 849
(2003)] . . . . . . . . . . . . . . . . 2353--2353
E. Romera and
J. C. Angulo and
J. S. Dehesa Erratum: ``The Hausdorff entropic moment
problem'', [J. Math. Phys. \bf 42, 2309
(2001)] . . . . . . . . . . . . . . . . 2354--2354
Claudio Altafini Controllability properties for finite
dimensional quantum Markovian master
equations . . . . . . . . . . . . . . . 2357--2372
M. Baro and
H. Neidhardt Dissipative Schrödinger-type operators as
a model for generation and recombination 2373--2401
Fabio Benatti and
H. Narnhofer and
A. Uhlmann Broken symmetries in the entanglement of
formation . . . . . . . . . . . . . . . 2402--2415
Pierre Del Castillo Lower bound for the superheating field
in the weak-$ \kappa $ limit: The
general case . . . . . . . . . . . . . . 2416--2450
Yuzuru Inahama and
Shin-ichi Shirai Spectral properties of Pauli operators
on the Poincaré upper-half plane . . . . 2451--2462
Regina Karle and
Jiannis Pachos Geometrical phases for the $G$ (4,2)
Grassmannian manifold . . . . . . . . . 2463--2470
Andrei Khrennikov Contextual viewpoint to quantum
stochastics . . . . . . . . . . . . . . 2471--2478
N. Mukunda and
Arvind and
S. Chaturvedi and
R. Simon Generalized coherent states and the
diagonal representation for operators 2479--2506
A. Belhaj and
J. J. Manjarín and
P. Resco On noncommutative orbifolds of K3
surfaces . . . . . . . . . . . . . . . . 2507--2520
Antti Salmela An algebraic method for solving the $
{\rm SU}(3) $ Gauss law . . . . . . . . 2521--2533
A. H. Chamseddine An invariant action for noncommutative
gravity in four dimensions . . . . . . . 2534--2541
Bogdan G. Dimitrov Cubic algebraic equations in gravity
theory, parametrization with the
Weierstrass function and nonarithmetic
theory of algebraic equations . . . . . 2542--2578
M. Cerkaski Application of Poisson maps on coadjoint
orbits of $ \mbox {Sp}(6, R) $ group to
many body dynamics . . . . . . . . . . . 2579--2595
T. V. Dudnikova and
A. I. Komech and
H. Spohn On the convergence to statistical
equilibrium for harmonic crystals . . . 2596--2620
V. A. Golovko Hierarchy of equations for reduced
density matrices at thermodynamic
equilibrium with account taken of the
spin of particles . . . . . . . . . . . 2621--2638
Xing-Bin Pan Superconductivity near critical
temperature . . . . . . . . . . . . . . 2639--2678
Chris Conidis and
Joe Repka Tensor operators and constructing
indecomposable representations of
semidirect product groups . . . . . . . 2679--2691
Thomas Curtright and
David Fairlie Extra dimensions and nonlinear equations 2692--2703
A. M. Grundland and
P. Tempesta and
P. Winternitz Weak transversality and partially
invariant solutions . . . . . . . . . . 2704--2722
A. M. Grundland and
W. J. Zakrzewski Publisher's Note: ``On certain geometric
aspects of $ C P^N $ harmonic maps'',
[J. Math. Phys. 44, 813 (2003)] . . . . 2723--2723
Richard L. Hall and
Wolfgang Lucha and
Franz F. Schöberl Erratum: ``Relativistic $N$-boson
systems bound by oscillator pair
potentials'', [J. Math. Phys. 43, 1237
(2002)] . . . . . . . . . . . . . . . . 2724--2725
G. Auberson and
G. Mahoux and
S. M. Roy and
Virendra Singh Bell inequalities in four dimensional
phase space and the three marginal
theorem . . . . . . . . . . . . . . . . 2729--2747
S. M. Belov and
A. V. Rybkin Higher order trace formulas of the
Buslaev--Faddeev-type for the half-line
Schrödinger operator with long-range
potentials . . . . . . . . . . . . . . . 2748--2761
Ph. Roux and
D. Yafaev The scattering matrix for the Schrödinger
operator with a long-range
electromagnetic potential . . . . . . . 2762--2786
Dong Ruan and
Weicheng Huang General realization of $N$ = 4
supersymmetric quantum mechanics and its
applications . . . . . . . . . . . . . . 2787--2805
J. H. Toloza Exponentially accurate error estimates
of quasiclassical eigenvalues. II.
Several dimensions . . . . . . . . . . . 2806--2838
V. Dmitrasinovic and
Issei Nakamura Dynamical symmetry breaking and the
Nambu--Goldstone theorem in the Gaussian
wave functional approximation . . . . . 2839--2852
Charles F. Doran and
Michael Faux A ``periodic table'' for supersymmetric
$M$-theory compactifications . . . . . . 2853--2873
A. M. Grundland and
A. J. Hariton and
V. Hussin Group-invariant solutions of
relativistic and nonrelativistic models
in field theory . . . . . . . . . . . . 2874--2890
Hendryk Pfeiffer Exact duality transformations for sigma
models and gauge theories . . . . . . . 2891--2938
Hironobu Sakagawa Entropic repulsion for a Gaussian
lattice field with certain finite range
interaction . . . . . . . . . . . . . . 2939--2951
Alexander J. Silenko Foldy--Wouthuysen transformation for
relativistic particles in external
fields . . . . . . . . . . . . . . . . . 2952--2966
Hideo Tamura Resolvent convergence in norm for Dirac
operator with Aharonov--Bohm field . . . 2967--2993
Michael T. Anderson Regularity for Lorentz metrics under
curvature bounds . . . . . . . . . . . . 2994--3012
P. Dolan and
A. Gerber Exterior differential systems,
Janet--Riquier theory and the
Riemann--Lanczos problems in two, three,
and four dimensions . . . . . . . . . . 3013--3034
P. Dolan and
A. Gerber The Weyl--Lanczos equations and the
Lanczos wave equation in four dimensions
as systems in involution . . . . . . . . 3035--3045
J. P. Krisch and
E. N. Glass A space--time in toroidal coordinates 3046--3058
A. Gerber Prolongation methods and Cartan
characters for the three-dimensional
Riemann--Lanczos problem . . . . . . . . 3059--3070
Robert I. McLachlan and
Brett Ryland The algebraic entropy of classical
mechanics . . . . . . . . . . . . . . . 3071--3087
Mikhail V. Foursov Towards the complete classification of
homogeneous two-component integrable
equations . . . . . . . . . . . . . . . 3088--3096
Uwe Günther and
Frank Stefani Isospectrality of spherical MHD dynamo
operators: Pseudo-Hermiticity and a
no-go theorem . . . . . . . . . . . . . 3097--3111
M. Kobayashi Special solution of the inhomogeneous
Bloch equation . . . . . . . . . . . . . 3112--3122
Mehmet Koca and
Ramazan Koç and
Muataz Al-Barwani Quaternionic roots of $ {\rm SO}(8) $, $
{\rm SO}(9) $, $ F_4 $ and the related
Weyl groups . . . . . . . . . . . . . . 3123--3140
Stefano Vignolo A geometric description of Routh's
procedure. Addendum: ``Legendre
transformation and analytical mechanics:
A geometric approach'', [J. Math. Phys.
\bf 44, 1709 (2003)] . . . . . . . . . . 3141--3144
M. J. Ablowitz and
S. Chakravarty and
R. G. Halburd Integrable systems and reductions of the
self-dual Yang--Mills equations . . . . 3147--3173
P. G. Grinevich and
S. P. Novikov Topological phenomena in the real
periodic sine-Gordon theory . . . . . . 3174--3184
Anne Boutet de Monvel and
Vladimir Kotlyarov Generation of asymptotic solitons of the
nonlinear Schrödinger equation by
boundary data . . . . . . . . . . . . . 3185--3215
P. C. Sabatier Lax equations scattering and KdV . . . . 3216--3225
A. S. Fokas The Davey--Stewartson I equation on the
quarter plane with homogeneous Dirichlet
boundary conditions . . . . . . . . . . 3226--3244
V. G. Kac and
J. W. van de Leur The $n$-component KP hierarchy and
representation theory . . . . . . . . . 3245--3293
Luis Martínez Alonso and
Manuel Mañas Additional symmetries and solutions of
the dispersionless KP hierarchy . . . . 3294--3308
M. Boiti and
F. Pempinelli and
A. K. Pogrebkov and
B. Prinari Extended resolvent and inverse
scattering with an application to KPI 3309--3340
C. Rogers and
W. K. Schief Novel integrable reductions in nonlinear
continuum mechanics via geometric
constraints . . . . . . . . . . . . . . 3341--3369
A. M. Grundland and
W. J. Zakrzewski $ C P^{N - 1} $ harmonic maps and the
Weierstrass problem . . . . . . . . . . 3370--3382
Andrew Dancer and
McKenzie Y. Wang Painlevé analysis of the Ricci-flat
ordinary differential equations
associated with Aloff--Wallach spaces
and U(1)-bundles over Fano products . . 3383--3406
G. Neugebauer and
R. Meinel Progress in relativistic gravitational
theory using the inverse scattering
method . . . . . . . . . . . . . . . . . 3407--3429
Maciej Dunajski and
Lionel J. Mason Twistor theory of hyper-Kähler metrics
with hidden symmetries . . . . . . . . . 3430--3454
S. I. Agafonov and
A. I. Bobenko Hexagonal circle patterns with constant
intersection angles and discrete Painlevé
and Riccati equations . . . . . . . . . 3455--3469
M. Haskins and
J. M. Speight The geodesic approximation for lump
dynamics and coercivity of the Hessian
for harmonic maps . . . . . . . . . . . 3470--3494
J. M. Baptista and
N. S. Manton The dynamics of vortices on $ S^2 $ near
the Bradlow limit . . . . . . . . . . . 3495--3508
David Tong The moduli space of noncommutative
vortices . . . . . . . . . . . . . . . . 3509--3516
Michael K. Murray and
Michael A. Singer A note on monopole moduli spaces . . . . 3517--3531
Richard A. Battye and
Gary W. Gibbons and
Paulina Rychenkova and
Paul M. Sutcliffe Polyhedral scattering of fundamental
monopoles . . . . . . . . . . . . . . . 3532--3542
Richard A. Battye and
Conor J. Houghton and
Paul M. Sutcliffe Icosahedral Skyrmions . . . . . . . . . 3543--3554
R. S. Ward Topological Q-solitons . . . . . . . . . 3555--3561
T. A. Ioannidou and
N. D. Vlachos On the Q-ball profile function . . . . . 3562--3568
Kazuhiro Hikami and
Miki Wadati Topics in quantum integrable systems . . 3569--3594
G. Andrei Mezincescu and
Luca Mezincescu Factorization method and the
supersymmetric monopole harmonics . . . 3595--3606
Alfred Scharff Goldhaber Fractional charge definitions and
conditions . . . . . . . . . . . . . . . 3607--3618
Frans R. Klinkhamer and
Christian Rupp Sphalerons, spectral flow, and anomalies 3619--3639
N. Michael Davies and
Timothy J. Hollowood and
Valentin V. Khoze Monopoles, affine algebras and the
gluino condensate . . . . . . . . . . . 3640--3656
Jinho Baik and
Percy Deift and
Eugene Strahov Products and ratios of characteristic
polynomials of random Hermitian matrices 3657--3670
Attila Andai Monotone Riemannian metrics on density
matrices with non-monotone scalar
curvature . . . . . . . . . . . . . . . 3675--3688
L. S. Brizhik and
A. A. Eremko and
B. M. A. G. Piette and
W. J. Zakrzewski Spontaneous localization of electrons in
two-dimensional lattices within the
adiabatic approximation . . . . . . . . 3689--3697
Andrei G. Bytsko On integrable Hamiltonians for higher
spin $ X X Z $ chain . . . . . . . . . . 3698--3717
Dariusz Chru\'sci\'nski Quantum mechanics of damped systems . . 3718--3733
Christian Ferrari and
Nicolas Macris Extended edge states in finite Hall
systems . . . . . . . . . . . . . . . . 3734--3751
Paolo Gibilisco and
Tommaso Isola Wigner--Yanase information on quantum
state space: The geometric approach . . 3752--3762
Xiao-Yan Gu and
Zhong-Qi Ma and
Jian-Qiang Sun Quantum four-body system in $D$
dimensions . . . . . . . . . . . . . . . 3763--3774
Susumu Okubo Global symmetries of time-dependent
Schrödinger equations . . . . . . . . . . 3775--3799
A. Chakrabarti Nonlinear transforms of momenta and
Planck scale limit . . . . . . . . . . . 3800--3808
R. Coquereaux and
G. Schieber Determination of quantum symmetries for
higher $ A D E $ systems from the
modular $T$ matrix . . . . . . . . . . . 3809--3837
T. Garidi and
J-P. Gazeau and
M. V. Takook ``Massive'' spin-2 field in de Sitter
space . . . . . . . . . . . . . . . . . 3838--3862
Serge Lazzarini and
José M. Gracia-Bondía Improved Epstein--Glaser
renormalization. II. Lorentz invariant
framework . . . . . . . . . . . . . . . 3863--3875
Olivera Miskovic and
Jorge Zanelli Dynamical structure of irregular
constrained systems . . . . . . . . . . 3876--3887
Gioel Calabrese and
Olivier Sarbach Detecting ill posed boundary conditions
in general relativity . . . . . . . . . 3888--3899
John Miritzis Dynamical system approach to FRW models
in higher-order gravity theories . . . . 3900--3910
Bogdana Georgieva and
Ronald Guenther and
Theodore Bodurov Generalized variational principle of
Herglotz for several independent
variables. First Noether-type theorem 3911--3927
Jingsong He and
Yishen Li and
Yi Cheng Two choices of the gauge transformation
for the AKNS hierarchy through the
constrained KP hierarchy . . . . . . . . 3928--3960
R. Sahadevan and
S. Khousalya Tri-Hamiltonian formulation for certain
integrable lattice equations . . . . . . 3961--3978
Kanehisa Takasaki Spectral curve and Hamiltonian structure
of isomonodromic $ \mbox {SU}(2) $
Calogero--Gaudin system . . . . . . . . 3979--3999
Xiao-Yan Tang and
Sen-Yue Lou Extended multilinear variable separation
approach and multivalued localized
excitations for some $ (2 +
1)$-dimensional integrable systems . . . 4000--4025
G. N. Afanasiev and
V. G. Kartavenko and
Yu. P. Stepanovsky Vavilov--Cherenkov and transition
radiations on the dielectric and
metallic spheres . . . . . . . . . . . . 4026--4056
Noel Corngold Classical transport of charged particles
in a magnetic field . . . . . . . . . . 4057--4077
Lidia Jiménez-Lara and
Eduardo Piña The three-body problem with an inverse
square law potential . . . . . . . . . . 4078--4089
P. G. L. Leach and
K. Andriopoulos and
M. C. Nucci The Ermanno--Bernoulli constants and
representations of the complete symmetry
group of the Kepler problem . . . . . . 4090--4106
M. C. Nucci Lorenz integrable system moves \`a la
Poinsot . . . . . . . . . . . . . . . . 4107--4118
B. Emamizadeh and
M. H. Mehrabi Asymptotic behavior of the centroids of
a family of vortices . . . . . . . . . . 4119--4133
Maxim V. Pavlov Integrable hydrodynamic chains . . . . . 4134--4156
P. J. Forrester and
N. E. Frankel and
T. M. Garoni Random matrix averages and the
impenetrable Bose gas in Dirichlet and
Neumann boundary conditions . . . . . . 4157--4175
Da-Quan Jiang and
Min Qian and
Fu-Xi Zhang Entropy production fluctuations of
finite Markov chains . . . . . . . . . . 4176--4188
Go Kato and
Miki Wadati A direct calculation of the free energy
from the Bethe ansatz equation for the
Heisenberg model . . . . . . . . . . . . 4189--4200
David Chillingworth and
Martin Golubitsky Symmetry and pattern formation for a
planar layer of nematic liquid crystal 4201--4219
Aristophanes Dimakis and
Folkert Müller-Hoissen Riemannian geometry of bicovariant group
lattices . . . . . . . . . . . . . . . . 4220--4259
M. Fashandi and
R. A. Kamyabi Gol and
A. Niknam and
M. A. Pourabdollah Continuous wavelet transform on a
special homogeneous space . . . . . . . 4260--4266
Thomas Guhr and
Heiner Kohler Angular Gelfand--Tzetlin coordinates for
the supergroup $ \mbox {UOSp}(k_1 / 2
k_2) $ . . . . . . . . . . . . . . . . . 4267--4286
Gerald Hofmann On the construction of self-polar and
self-polar Hilbertian norms on Minkowski
space of dimension 2 . . . . . . . . . . 4287--4307
Andreas Malmendier The eigenvalue equation on the
Eguchi--Hanson space . . . . . . . . . . 4308--4343
Dmitry Shklyarov and
Genkai Zhang Berezin transform on the quantum unit
ball . . . . . . . . . . . . . . . . . . 4344--4373
G. F. Torres del Castillo and
L. F. Gómez-Ceballos Algebraic classification of the
curvature of three-dimensional manifolds
with indefinite metric . . . . . . . . . 4374--4380
J. L. Borg and
J. V. Pulé Pauli approximations to the self-adjoint
extensions of the Aharonov--Bohm
Hamiltonian . . . . . . . . . . . . . . 4385--4410
Toshihiro Iwai and
Hidetaka Yamaoka Stratified reduction of many-body
kinetic energy operators . . . . . . . . 4411--4435
Christoph Richard Dense Dirac combs in Euclidean space
with pure point diffraction . . . . . . 4436--4449
G. Scolarici and
L. Solombrino On the pseudo-Hermitian
nondiagonalizable Hamiltonians . . . . . 4450--4459
Alexander Silbergleit and
Ilya Mandel and
Ilya Nemenman Potential and field singularity at a
surface point charge . . . . . . . . . . 4460--4466
Shi-Hai Dong and
Guo-Hua Sun and
Dusan Popov Group theory approach to the Dirac
equation with a Coulomb plus scalar
potential in $ D + 1 $ dimensions . . . 4467--4479
Christopher J. Fewster and
Michael J. Pfenning A quantum weak energy inequality for
spin-one fields in curved space--time 4480--4513
Tomoshiro Ochiai A direct derivation of polynomial
invariants from perturbative
Chern--Simons gauge theory . . . . . . . 4514--4526
Alexander D. Popov and
Armen G. Sergeev and
Martin Wolf Seiberg--Witten monopole equations on
noncommutative $ \mathbb {R}^4 $ . . . . 4527--4554
C. Sparber and
P. Markowich Semiclassical asymptotics for the
Maxwell--Dirac system . . . . . . . . . 4555--4572
Xianguo Geng and
H. H. Dai and
Cewen Cao Algebro--geometric constructions of the
discrete Ablowitz--Ladik flows and
applications . . . . . . . . . . . . . . 4573--4588
Anjan Kundu Unifying scheme for generating discrete
integrable systems including
inhomogeneous and hybrid models . . . . 4589--4603
Valery S. Shchesnovich and
Jianke Yang General soliton matrices in the
Riemann--Hilbert problem for integrable
nonlinear equations . . . . . . . . . . 4604--4639
Derchyi Wu Isomonodromy deformations for the
ZS-AKNS system with quadratic spectral
variables . . . . . . . . . . . . . . . 4640--4651
Miguel D. Bustamante and
Sergio A. Hojman Multi-Lagrangians, hereditary operators
and Lax pairs for the Korteweg--de Vries
positive and negative hierarchies . . . 4652--4671
Metin Gürses and
Özgür Sario\uglu Liénard--Wiechert potentials in even
dimensions . . . . . . . . . . . . . . . 4672--4680
Da-Quan Jiang and
Fu-Xi Zhang The Green--Kubo formula and power
spectrum of reversible Markov processes 4681--4689
Huan-Qiang Zhou and
Jon Links and
Mark D. Gould and
Ross H. McKenzie Solvable models of Bose--Einstein
condensates: A new algebraic Bethe
ansatz scheme . . . . . . . . . . . . . 4690--4701
R. Almeida and
A. Kumpera and
J. L. Rubin On the variational cohomology of
$g$-invariant foliations . . . . . . . . 4702--4712
A. P. Balachandran and
Giorgio Immirzi and
Joohan Lee and
Peter Presnajder Dirac operators on coset spaces . . . . 4713--4735
Christian Blohmann Covariant realization of quantum spaces
as star products by Drinfeld twists . . 4736--4755
J. C. Brunelli and
Ashok Das and
Ziemowit Popowicz Supersymmetric extensions of the Harry
Dym hierarchy . . . . . . . . . . . . . 4756--4767
G. Cassinelli and
E. De Vito and
A. Toigo Positive operator valued measures
covariant with respect to an irreducible
representation . . . . . . . . . . . . . 4768--4775
J. Dalton and
B. D. Mestel Renormalization for the Harper equation
for quadratic irrationals . . . . . . . 4776--4783
M. El Baz and
A. El Hassouni and
Y. Hassouni and
E. H. Zakkari $n$ = 3 differential calculus and gauge
theory on a reduced quantum plane . . . 4784--4794
Felipe Leitner Imaginary Killing spinors in Lorentzian
geometry . . . . . . . . . . . . . . . . 4795--4806
Ross A. Lippert A matrix model for the $ \beta $-Jacobi
ensemble . . . . . . . . . . . . . . . . 4807--4816
N. Mankoc Borstnik and
H. B. Nielsen How to generate families of spinors . . 4817--4827
Shoji Okumura The indefinite anti-self-dual metrics
and the Painlevé equations . . . . . . . 4828--4838
M. P. M. Ramos and
E. G. L. R. Vaz and
J. Carot Double warped space--times . . . . . . . 4839--4865
H. J. Borchers and
Ch. Borchers The first law of thermodynamics and
Dyson--Lieb's perpetuum mobile . . . . . 4866--4867
K. S. Govinder and
M. Govender Comment on ``Time-dependent solution for
a star immersed in a background
radiation'', [H. Liu and Q. Zhang, J.
Math. Phys. \bf 43, 4904 (2002)] . . . . 4868--4870
Tuncay Aktosun and
Vassilis G. Papanicolaou Recovery of a potential from the ratio
of reflection and transmission
coefficients . . . . . . . . . . . . . . 4875--4883
Patrick Cassam-Chena\"\i and
Frédéric Patras The Hopf algebra of identical, fermionic
particle systems --- Fundamental
concepts and properties . . . . . . . . 4884--4906
Jacky Cresson Scale calculus and the Schrödinger
equation . . . . . . . . . . . . . . . . 4907--4938
Gianfausto Dell'Antonio On decoherence . . . . . . . . . . . . . 4939--4956
J. Fernández Núñez and
W. García Fuertes and
A. M. Perelomov Some results on the eigenfunctions of
the quantum trigonometric
Calogero--Sutherland model related to
the Lie algebra $ D_4 $ . . . . . . . . 4957--4974
Frédéric Klopp and
Shu Nakamura A note on Anderson localization for the
random hopping model . . . . . . . . . . 4975--4980
Levon Mardoyan The generalized MIC-Kepler system . . . 4981--4987
Fumihiko Nakano and
Yuji Nomura Random magnetic fields on line graphs 4988--5002
Maxim Raginsky Radon--Nikodym derivatives of quantum
operations . . . . . . . . . . . . . . . 5003--5020
Nasser Saad and
Richard L. Hall and
Attila B. von Keviczky Perturbation expansions for a class of
singular potentials . . . . . . . . . . 5021--5041
Makoto Sakamoto and
Shogo Tanimura An extension of Fourier analysis for the
$n$-torus in the magnetic field and its
application to spectral analysis of the
magnetic Laplacian . . . . . . . . . . . 5042--5069
K. Thirulogasanthar and
S. Twareque Ali A class of vector coherent states
defined over matrix domains . . . . . . 5070--5083
S. Zhang and
A. Vourdas Phase space methods for particles on a
circle . . . . . . . . . . . . . . . . . 5084--5094
J. Löffelholz and
G. Morchio and
F. Strocchi Mathematical structure of the temporal
gauge in quantum electrodynamics . . . . 5095--5107
E. Anderson and
F. Dahia and
J. E. Lidsey and
C. Romero Embeddings in space--times sourced by
scalar fields . . . . . . . . . . . . . 5108--5119
Alexander B. Balakin and
Veronika R. Kurbanova and
Winfried Zimdahl Parametric phenomena of the particle
dynamics in a periodic gravitational
wave field . . . . . . . . . . . . . . . 5120--5140
M. Sharif Symmetries of the energy--momentum
tensor of spherically symmetric
Lorentzian manifolds . . . . . . . . . . 5141--5158
F. Calogero and
J.-P. Françoise and
A. Guillot A further solvable three-body problem in
the plane . . . . . . . . . . . . . . . 5159--5165
V. Aldaya and
J. L. Jaramillo and
J. Guerrero Gauge principle revisited: Towards a
unification of space--time and internal
gauge interactions . . . . . . . . . . . 5166--5184
Xiaofeng Liu and
Houyu Jia Existence of suitable weak solutions of
complex Ginzburg--Landau equations and
properties of the set of singular points 5185--5193
Celia Anteneodo and
Constantino Tsallis Multiplicative noise: A mechanism
leading to nonextensive statistical
mechanics . . . . . . . . . . . . . . . 5194--5203
M. Chen On the generalized problem of the
Boltzmann equation and the moment method
in kinetic theory of gases . . . . . . . 5204--5211
Timothy R. Field and
Robert J. A. Tough Stochastic dynamics of the scattering
amplitude generating $K$-distributed
noise . . . . . . . . . . . . . . . . . 5212--5223
Christian Tutschka Interacting squares in arbitrary
external field . . . . . . . . . . . . . 5224--5242
C. Adam and
J. Sánchez-Guillén Ring-shaped exact Hopf solitons . . . . 5243--5249
N. Aizawa and
P. S. Isaac Weak Hopf algebras corresponding to $
U_q $ [ $ s l_n $ ] . . . . . . . . . . 5250--5267
A. Alexandrov Givental formula in terms of Virasoro
operators . . . . . . . . . . . . . . . 5268--5278
Alonso Botero Geometric phase and modulus relations
for probability amplitudes as functions
on complex parameter spaces . . . . . . 5279--5295
J. A. Castilho Alcarás and
J. Tambergs and
T. Krasta and
J. Ruza and
O. Katkevicius Plethysms and interacting boson models 5296--5319
A. Chakrabarti Canonical factorization and
diagonalization of Baxterized braid
matrices: Explicit constructions and
applications . . . . . . . . . . . . . . 5320--5349
Peter A. Clarkson The fourth Painlevé equation and
associated special polynomials . . . . . 5350--5374
S. Brian Edgar On effective constraints for the
Riemann--Lanczos system of equations . . 5375--5385
M. A. Jafarizadeh and
S. Behnia Hierarchy of random chaotic maps with an
invariant measure . . . . . . . . . . . 5386--5400
Min Ho Lee Tau functions and residues . . . . . . . 5401--5409
Lorenzo Sadun Tiling spaces are inverse limits . . . . 5410--5414
K. Scharnhorst A Grassmann integral equation . . . . . 5415--5449
Hiroyuki Yamane A central extension of $ U_q \mbox
{sl}(2 |2)^{(1)} $ and $R$-matrices with
a new parameter . . . . . . . . . . . . 5450--5455
V. Aldaya and
J. Guerrero Erratum: ``Canonical coherent states for
the relativistic harmonic oscillator'',
[J. Math. Phys. \bf 36, 3191 (1995)] . . 5456--5456
Roberto Beneduci and
Giuseppe Nistic\`o Sharp reconstruction of unsharp quantum
observables . . . . . . . . . . . . . . 5461--5473
Stefan Weigert and
Paul Busch Lüders theorem for coherent-state POVMs 5474--5486
H. Ahmedov and
I. H. Duru Casimir force between surfaces close to
each other . . . . . . . . . . . . . . . 5487--5503
Ali Ayan and
O. Teoman Turgut On the nonrelativistic Lee model . . . . 5504--5516
K. C. Hannabuss and
M. Semplice Boundary conformal fields and
Tomita--Takesaki theory . . . . . . . . 5517--5529
Rémi Léandre Stochastic Wess--Zumino--Novikov--Witten
model on the torus . . . . . . . . . . . 5530--5568
G. Morchio and
F. Strocchi Charge density and electric charge in
quantum electrodynamics . . . . . . . . 5569--5587
Manfred Requardt A geometric renormalization group in
discrete quantum space--time . . . . . . 5588--5615
Dongho Chae and
Kwangseok Choe Existence of the self-graviting
Chern--Simons vortices . . . . . . . . . 5616--5636
A. Das and
A. DeBenedictis and
N. Tariq General solutions of Einstein's
spherically symmetric gravitational
equations with junction conditions . . . 5637--5655
Ya-Jun Gao Double structures and double symmetries
for the general symplectic gravity
models . . . . . . . . . . . . . . . . . 5656--5663
Sanjeev S. Seahra and
Paul S. Wesson Universes encircling five-dimensional
black holes . . . . . . . . . . . . . . 5664--5680
Guihua Tian and
Zhao Zheng The second variation of a null geodesic 5681--5687
Ahmet Ay and
Metin Gürses and
Kostyantyn Zheltukhin Hamiltonian equations in $ \mathbb {R}^3
$ . . . . . . . . . . . . . . . . . . . 5688--5705
V. Caudrelier and
E. Ragoucy Lax pair and super-Yangian symmetry of
the nonlinear super-Schrödinger equation 5706--5732
S. Roy Choudhury Integrability characteristics of
two-dimensional generalizations of NLS
type equations . . . . . . . . . . . . . 5733--5750
Daniel B. Grünberg N = 4 characters in Gepner models,
orbits and elliptic genera . . . . . . . 5751--5792
Fukui Guo and
Yufeng Zhang A new loop algebra and a corresponding
integrable hierarchy, as well as its
integrable coupling . . . . . . . . . . 5793--5803
Qiuli Jia and
Shengfan Zhou and
Fuqi Yin Kolmogorov entropy of global attractor
for dissipative lattice dynamical
systems . . . . . . . . . . . . . . . . 5804--5810
E. G. Kalnins and
J. M. Kress and
W. Miller, Jr. and
P. Winternitz Superintegrable systems in Darboux
spaces . . . . . . . . . . . . . . . . . 5811--5848
Spyridon Kamvissis Semiclassical nonlinear Schrödinger on
the half line . . . . . . . . . . . . . 5849--5868
S. Y. Lou and
C. Rogers and
W. K. Schief Virasoro structure and localized
excitations of the LKR system . . . . . 5869--5887
A. Boulahoual and
M. B. Sedra Noncommutative geometry framework and
the Feynman's proof of Maxwell equations 5888--5901
E. Deotto and
E. Gozzi and
D. Mauro Hilbert space structure in classical
mechanics. I . . . . . . . . . . . . . . 5902--5936
E. Deotto and
E. Gozzi and
D. Mauro Hilbert space structure in classical
mechanics. II . . . . . . . . . . . . . 5937--5957
Michael Efroimsky and
Peter Goldreich Gauge symmetry of the $N$-body problem
in the Hamilton--Jacobi approach . . . . 5958--5977
Han-Ying Guo and
Ke Wu On variations in discrete mechanics and
field theory . . . . . . . . . . . . . . 5978--6004
M. Fannes and
B. Haegeman and
M. Mosonyi Entropy growth of shift-invariant states
on a quantum spin chain . . . . . . . . 6005--6019
Marcelo Marucho and
Gustavo A. Carri On the generalized Borel transform and
its application to the statistical
mechanics of macromolecules . . . . . . 6020--6031
Arlei Prestes Tonel and
Angela Foerster and
Katrina Hibberd and
Jon Links Integrable generalized spin ladder
models based on the $ {\rm SU}(1 | 3) $
and $ {\rm SU}(3 | 1) $ algebras . . . . 6032--6039
S. Zuyev and
J. Quintanilla Estimation of percolation thresholds via
percolation in inhomogeneous media . . . 6040--6046
Dmitri V. Alekseevsky and
Vicente Cortés and
Chandrashekar Devchand Yang--Mills connections over manifolds
with Grassmann structure . . . . . . . . 6047--6076
E. Andersson On the $M$-function and Borg--Marchenko
theorems for vector-valued
Sturm--Liouville equations . . . . . . . 6077--6100
A. Anzaldo-Meneses and
F. Monroy-Pérez Goursat distribution and sub-Riemannian
structures . . . . . . . . . . . . . . . 6101--6111
S. Aubert and
C. S. Lam Invariant integration over the unitary
group . . . . . . . . . . . . . . . . . 6112--6131
Dongho Chae and
Hyungjin Huh Global existence for small initial data
in the Born--Infeld equations . . . . . 6132--6139
S. Brian Edgar and
Ola Wingbrant Old and new results for superenergy
tensors from dimensionally dependent
tensor identities . . . . . . . . . . . 6140--6159
Nikolai A. Kudryashov Amalgamations of the Painlevé equations 6160--6178
S. Lievens and
J. Van der Jeugt Multivariable orthogonal polynomials
associated with tensor products of the
oscillator algebra $ \mathfrak {b}(1) $ 6179--6194
Alain Mazzolo and
Beno\^\it Roesslinger and
Wilfried Gille Properties of chord length distributions
of nonconvex bodies . . . . . . . . . . 6195--6208
Peter Otte Deficiency indices of operator
polynomials in creation and annihilation
operators . . . . . . . . . . . . . . . 6209--6222
C. G. Torre The helically-reduced wave equation as a
symmetric-positive system . . . . . . . 6223--6232
J. Almeida and
J. Teixeira The space of state vectors: A
hyperfinite approach . . . . . . . . . . 1--20
M. Baro and
H.-Chr. Kaiser and
H. Neidhardt and
J. Rehberg Dissipative Schrödinger--Poisson systems 21--43
Paul Federbush A polymer expansion for the quantum
Heisenberg ferromagnet wave function . . 44--50
V. A. Geyler and
P. St'ovícek On the Pauli operator for the
Aharonov--Bohm effect with two solenoids 51--75
G. Giachetta and
L. Mangiarotti and
G. Sardanashvily Nonadiabatic holonomy operators in
classical and quantum completely
integrable systems . . . . . . . . . . . 76--86
Lorenz Hartmann and
John R. Klauder Weak coherent state path integrals . . . 87--99
Saibal Mitra Expansions about free-fermion models . . 100--106
P. Moretti and
M. Lantieri and
L. Cianchi Quantum study of the spin inversion . . 107--113
N. Mukunda and
Arvind and
S. Chaturvedi and
R. Simon Wigner distributions and quantum
mechanics on Lie groups: The case of the
regular representation . . . . . . . . . 114--148
Sergio Albeverio and
Maria Simonetta Bernabei and
Xian Yin Zhou Lattice approximations and continuum
limits of $ \phi_2^4$-quantum fields . . 149--178
M. I. Caicedo and
N. F. Svaiter Effective Lagrangians for scalar fields
and finite size effects in field theory 179--196
V. E. Didenko and
M. A. Vasiliev Free field dynamics in the generalized
AdS (super)space . . . . . . . . . . . . 197--215
Alfredo Herrera-Aguilar and
Oleg V. Kechkin String theory extensions of
Einstein--Maxwell fields: The stationary
case . . . . . . . . . . . . . . . . . . 216--229
Valter Moretti and
Nicola Pinamonti Holography and $ {\rm SL}(2, \mathbb
{R}) $ symmetry in $2$D Rindler
space--time . . . . . . . . . . . . . . 230--256
Valter Moretti and
Nicola Pinamonti Virasoro algebra with central charge $ c
= 1 $ on the horizon of a
two-dimensional-Rindler space--time . . 257--284
J. A. Nieto Searching for a connection between
matroid theory and string theory . . . . 285--301
Vanush Paturyan and
D. H. Tchrakian Monopole-antimonopole solutions of the
Skyrmed $ {\rm SU}(2) $
Yang--Mills--Higgs model . . . . . . . . 302--309
P. Dolan and
A. Gerber The Weyl--Lanczos relations and the
four-dimensional Lanczos tensor wave
equation and some symmetry generators 310--326
Alec Maassen van den Brink WKB analysis of the Regge--Wheeler
equation down in the frequency plane . . 327--335
Vladimir Dorodnitsyn and
Roman Kozlov and
Pavel Winternitz Continuous symmetries of Lagrangians and
exact solutions of discrete equations 336--359
Arturo Echeverría-Enríquez and
Carlos López and
Jesús Marín-Solano and
Miguel C. Muñoz-Lecanda and
Narciso Román-Roy Lagrangian--Hamiltonian unified
formalism for field theory . . . . . . . 360--380
Oleg I. Bogoyavlenskij Unsteady equipartition MHD solutions . . 381--390
W. J. Caspers and
A. Wal and
M. Labuz and
M. Ku\'zma and
T. Lulek Continuity of Bethe solutions with
respect to chain length $N$ and winding
numbers $ \lambda_l$ . . . . . . . . . . 391--399
A. N. Pechen Quantum stochastic equation for a test
particle interacting with a dilute Bose
gas . . . . . . . . . . . . . . . . . . 400--417
G. Cassinelli and
E. De Vito and
A. Toigo Positive operator valued measures
covariant with respect to an Abelian
group . . . . . . . . . . . . . . . . . 418--433
N. Crampé Hopf structure of the Yangian $ Y({\rm
sl}_n) $ in the Drinfel'd realization 434--447
Xiaoda Ji and
Chunli Chen and
Jin E. Zhang and
Yishen Li Lie symmetry analysis and some new exact
solutions of the Wu--Zhang equation . . 448--460
Hoil Kim and
Chang-Yeong Lee Theta functions on noncommutative $ T^4
$ . . . . . . . . . . . . . . . . . . . 461--474
M. Kobayashi Import of a set of solutions of the
homogeneous Bloch equation . . . . . . . 475--485
M. Kobayashi Towards a general solution of the
inhomogeneous Bloch equation . . . . . . 486--494
Bengt Nagel Confluence expansions of the generalized
hypergeometric function . . . . . . . . 495--508
Yucai Su Low dimensional cohomology of general
conformal algebras $ g c_N $ . . . . . . 509--524
Yucai Su and
Kaiming Zhao and
Linsheng Zhu Classification of derivation-simple
color algebras related to locally finite
derivations . . . . . . . . . . . . . . 525--536
W. D. van Suijlekom The noncommutative Lorentzian cylinder
as an isospectral deformation . . . . . 537--556
B. Y. Hou and
R. Sasaki and
W.-L. Yang Eigenvalues of Ruijsenaars--Schneider
models associated with $ A_{n - 1} $
root system in Bethe ansatz formalism 559--575
Wen-Wei Lin and
Shih-Feng Shieh Eigenvalue problems of a two-dimensional
Schrödinger operator with nonparabolic
effective mass . . . . . . . . . . . . . 576--584
Mark S. Swanson Transition elements for a non-Hermitian
quadratic Hamiltonian . . . . . . . . . 585--601
R. Cartas-Fuentevilla The Euler characteristic and the first
Chern number in the covariant phase
space formulation of string theory . . . 602--608
Chul Ki Ko and
Yong Moon Park Construction of a family of quantum
Ornstein--Uhlenbeck semigroups . . . . . 609--627
A. Francisco Neto and
P. A. Faria da Veiga and
M. O'Carroll Existence of mesons and mass splitting
in strong coupling lattice quantum
chromodynamics . . . . . . . . . . . . . 628--641
Jaedong Choi and
Soon-Tae Hong Warped product approach to universe with
nonsmooth scale factor . . . . . . . . . 642--651
Joan Josep Ferrando and
Juan Antonio Sáez On the classification of type $D$
space--times . . . . . . . . . . . . . . 652--667
P. Noundjeu and
N. Noutchegueme and
A. D. Rendall Existence of initial data satisfying the
constraints for the spherically
symmetric Einstein--Vlasov--Maxwell
system . . . . . . . . . . . . . . . . . 668--676
M. J. Pareja Relativistic stars in differential
rotation: bounds on the dragging rate
and on the rotational energy . . . . . . 677--695
Yurii V. Brezhnev Elliptic solitons and Gröbner bases . . . 696--712
Refik Turhan A class of nonautonomous coupled KdV
systems . . . . . . . . . . . . . . . . 713--724
Patricia García-Godínez and
Ezra Ted Newman and
Gilberto Silva-Ortigoza $2$-geometries and the Hamilton--Jacobi
equation . . . . . . . . . . . . . . . . 725--735
Marcel O. Vlad and
Manuel G. Velarde and
John Ross Analogies between colored Lévy noise and
random channel approach to disordered
kinetics . . . . . . . . . . . . . . . . 736--760
Peter A. Becker On the integration of products of
Whittaker functions with respect to the
second index . . . . . . . . . . . . . . 761--773
G. Carron and
P. Exner and
D. Krejcirík Topologically nontrivial quantum layers 774--784
Jean-Marie Maillard Star exponentials for any ordering of
the elements of the inhomogeneous
symplectic Lie algebra . . . . . . . . . 785--794
Yoshimasa Matsuno A system of nonlinear algebraic
equations connected with the
multisoliton solution of the
Benjamin--Ono equation . . . . . . . . . 795--802
Dimitrios E. Panayotounakos and
Nikolaos V. Sotiropoulos On the reduction and the existence of
approximate analytic solutions of some
basic nonlinear ODEs in mathematical
physics and nonlinear mechanics . . . . 803--826
Ömer F. Dayi and
Ahmed Jellal Erratum: ``Hall effect in noncommutative
coordinates'', [J. Math. Phys. \bf 43,
4592 (2002)] . . . . . . . . . . . . . . 827--827
Matthias Christandl and
Andreas Winter ``Squashed entanglement'': An additive
entanglement measure . . . . . . . . . . 829--840
Dariusz Chru\'sci\'nski Quantum mechanics of damped systems. II.
Damping and parabolic potential barrier 841--854
Dao-Qing Dai and
Bin Han and
Rong-Qing Jia Galerkin analysis for Schrödinger
equation by wavelets . . . . . . . . . . 855--869
Nilanjana Datta and
Hervé Kunz A random matrix approach to the
crossover of energy-level statistics
from Wigner to Poisson . . . . . . . . . 870--886
Nuno Costa Dias and
João Nuno Prata Time dependent transformations in
deformation quantization . . . . . . . . 887--901
Andrei Khrennikov Contextual approach to quantum mechanics
and the theory of the fundamental
prespace . . . . . . . . . . . . . . . . 902--921
André Martin and
Tai Tsun Wu Bound states in two spatial dimensions
in the noncentral case . . . . . . . . . 922--931
Ali Mostafazadeh Pseudounitary operators and
pseudounitary quantum dynamics . . . . . 932--946
Teparksorn Pengpan Equal rank embedding and its related
construction to superconformal field
theories . . . . . . . . . . . . . . . . 947--958
George Svetlichny On linearity of separating multiparticle
differential Schrödinger operators for
identical particles . . . . . . . . . . 959--964
H. Ahmedov and
I. H. Duru Casimir energy inside a cavity with
triangular cross section . . . . . . . . 965--977
Hui Deng and
Bo-Yu Hou and
Kang-Jie Shi and
Zhan-Ying Yang and
Rui-Hong Yue Soliton solutions on noncommutative
orbifold $ T^2 / Z_4 $ . . . . . . . . . 978--995
Evangelos Melas The BMS group and generalized
gravitational instantons . . . . . . . . 996--1002
Simon Gravel Hamiltonians separable in Cartesian
coordinates and third-order integrals of
motion . . . . . . . . . . . . . . . . . 1003--1019
S. Y. Lou and
Xiao-Yan Tang Equations of arbitrary order invariant
under the Kadomtsev--Petviashvili
symmetry group . . . . . . . . . . . . . 1020--1030
Satoru Saito and
Noriko Saitoh and
Katsuhiko Yoshida Hyperelliptic Nambu flow associated with
integrable maps . . . . . . . . . . . . 1031--1041
M. de León and
D. Martín de Diego and
A. Santamaría-Merino Geometric integrators and nonholonomic
mechanics . . . . . . . . . . . . . . . 1042--1064
Andrzej J. Maciejewski and
Maria Przybylska Nonintegrability of the Suslov problem 1065--1078
Raymond G. McLenaghan and
Roman G. Smirnov and
Dennis The An extension of the classical theory of
algebraic invariants to
pseudo-Riemannian geometry and
Hamiltonian mechanics . . . . . . . . . 1079--1120
Nasir Ganikhodjaev The Potts model on $ \mathbb {Z}^d $
with countable set of spin values . . . 1121--1127
Andrei Ya. Maltsev Quasiperiodic functions theory and the
superlattice potentials for a
two-dimensional electron gas . . . . . . 1128--1149
M. Arik and
A. Peker-Dobie Decomposition of tensor product
representations of the unitary matrix
quantum group $ {\rm SU}_q(2) $ . . . . 1150--1155
R. O. de Mello and
V. O. Rivelles The irreducible unitary representations
of the extended Poincaré group in $ (1 +
1) $ dimensions . . . . . . . . . . . . 1156--1167
E. Elizalde and
M. Tierz Multiplicative anomaly and zeta
factorization . . . . . . . . . . . . . 1168--1179
Christopher C. Gerry On the Clebsch--Gordan problem for $
{\rm SU}(1, 1) $: Coupling nonstandard
representations . . . . . . . . . . . . 1180--1190
S. Lafortune and
A. Goriely Singularity confinement and algebraic
integrability . . . . . . . . . . . . . 1191--1208
Ernst Joachim Weniger Mathematical properties of a new
Levin-type sequence transformation
introduced by Cízek, Zamastil, and Skála.
I. Algebraic theory . . . . . . . . . . 1209--1246
S. A. Baran and
G. A. Kerimov On solvable potentials related to $ {\rm
SO}(2, 2) $. II. Natanzon potentials . . 1249--1266
J. Brüning and
V. Geyler and
I. Lobanov Spectral properties of a short-range
impurity in a quantum dot . . . . . . . 1267--1290
Detlef Dürr and
Rodolfo Figari and
Alessandro Teta Decoherence in a two-particle model . . 1291--1309
B. G. Giraud and
A. Weiguny Continuum singularities of a mean-field
theory of collisions . . . . . . . . . . 1310--1331
J. M. Harrison and
J. M. Robbins Quantum indistinguishability from
general representations of $ {\rm SU}(2
n) $ . . . . . . . . . . . . . . . . . . 1332--1358
C. M. Linton and
K. Ratcliffe Bound states in coupled guides. I. Two
dimensions . . . . . . . . . . . . . . . 1359--1379
C. M. Linton and
K. Ratcliffe Bound states in coupled guides. II.
Three dimensions . . . . . . . . . . . . 1380--1393
Marius Mantoiu and
Radu Purice The magnetic Weyl calculus . . . . . . . 1394--1417
Alexei Rybkin On the absolutely continuous and
negative discrete spectra of Schrödinger
operators on the line with locally
integrable globally square summable
potentials . . . . . . . . . . . . . . . 1418--1425
A. W. Sáenz Quantum-mechanical scattering in
exterior domains with impenetrable
periodic boundaries and short-range
potentials . . . . . . . . . . . . . . . 1426--1446
Daniel H. T. Franco and
Caio M. M. Polito Supersymmetric field-theoretic models on
a supermanifold . . . . . . . . . . . . 1447--1473
Andrei G. Terekidi and
Jurij W. Darewych Variational derivation of relativistic
fermion-antifermion wave equations in
QED . . . . . . . . . . . . . . . . . . 1474--1496
Stefan Haesen and
Leopold Verstraelen Ideally embedded space--times . . . . . 1497--1510
Eun Kyung Park and
Pyung Seong Kwon Homotopy structure of $5$ d vacua . . . 1511--1517
M. Sharif Classification of static plane symmetric
space--times according to their matter
collineations . . . . . . . . . . . . . 1518--1531
M. Sharif Symmetries of the energy-momentum tensor
of cylindrically symmetric static
space--times . . . . . . . . . . . . . . 1532--1560
Partha Guha Geodesic flow on (super-) Bott--Virasoro
group and Harry Dym family . . . . . . . 1561--1570
V. A. Golovko Superfluidity of a Fermi liquid from the
viewpoint of a hierarchy of equations
for reduced density matrices . . . . . . 1571--1592
O. V. Kutoviy and
A. L. Rebenko Existence of Gibbs state for continuous
gas with many-body interaction . . . . . 1593--1605
Lieselot Vandevenne and
André Verbeure and
Valentin A. Zagrebnov Equilibrium states for the Bose gas . . 1606--1622
N. Aizawa and
R. Chakrabarti Noncommutative geometry of
super-Jordanian $ {\rm OSp}_h(2 / 1) $
covariant quantum space . . . . . . . . 1623--1638
Boling Guo and
Yongqian Han Existence and uniqueness of global
solution of the Hasegawa--Mima equation 1639--1647
O. Khorunzhy and
M. Shcherbina and
V. Vengerovsky Eigenvalue distribution of large
weighted random graphs . . . . . . . . . 1648--1672
A. E. K. Lim and
J. Carminati The determination of all syzygies for
the dependent polynomial invariants of
the Riemann tensor. I. Pure Ricci and
pure Weyl invariants . . . . . . . . . . 1673--1698
Paul Sacks An inverse problem in coupled mode
theory . . . . . . . . . . . . . . . . . 1699--1710
B. J. Stoyanov Comment on ``Two-dimensional, highly
directive currents on large circular
loops'', [J. Math. Phys. \bf 41, 6130
(2000)] . . . . . . . . . . . . . . . . 1711--1712
S. Andrea and
A. Restuccia and
A. Sotomayor Supersymmetric exact sequence, heat
kernel and super Korteweg--de Vries
hierarchy . . . . . . . . . . . . . . . 1715--1729
Florian Munteanu and
Angel M. Rey and
Modesto Salgado The Günther's formalism in classical
field theory: momentum map and reduction 1730--1751
Wei Wu and
Ling-An Wu Two new types of quantum states
generated via higher powers of
Bogoliubov's transformation . . . . . . 1752--1761
Tian Ma and
Shouhong Wang Interior structural bifurcation and
separation of $2$D incompressible flows 1762--1776
Daniel Kastler On the exterior structure of graphs . . 1777--1786
Anna Jencová Geodesic distances on density matrices 1787--1794
Teppei Watanabe Locality and orthomodular structure of
compound systems . . . . . . . . . . . . 1795--1803
S. Kokou Dadzie and
J. Gilbert Méolans Anisotropic scattering kernel:
Generalized and modified Maxwell
boundary conditions . . . . . . . . . . 1804--1819
Mehmet Bayramo\uglu and
Fatih Tasçi and
Djafar Zeynalov On the discrete spectrum of
non-self-adjoint Schrödinger differential
equation with an operator coefficient 1820--1825
Yuri G. Kondratiev and
Alexei L. Rebenko and
Michael Röckner On diffusion dynamics for continuous
systems with singular superstable
interaction . . . . . . . . . . . . . . 1826--1848
Alberto Sánchez and
Alfredo Macías and
Hernando Quevedo Generating Gowdy cosmological models . . 1849--1858
Mikhail Pletyukhov On the extra phase correction to the
semiclassical spin coherent-state
propagator . . . . . . . . . . . . . . . 1859--1872
S. P. Gavrilov and
D. M. Gitman and
A. A. Smirnov Green functions of the Dirac equation
with magnetic-solenoid field . . . . . . 1873--1886
Harry E. Moses The role of the irreducible
representations of the Poincaré group in
solving Maxwell's equations . . . . . . 1887--1918
Jorma Louko and
Alberto Molgado Group averaging in the $ (p, q) $
oscillator representation of $ {\rm
SL}(2, \mathbb {R}) $ . . . . . . . . . 1919--1943
M. A. Soloviev On the generalized function calculus for
infrared and ultraviolet singular
quantum fields . . . . . . . . . . . . . 1944--1958
Josée Bérubé and
Pavel Winternitz Integrable and superintegrable quantum
systems in a magnetic field . . . . . . 1959--1973
Takuya Yamano A statistical complexity measure with
nonextensive entropy and
quasi-multiplicativity . . . . . . . . . 1974--1987
Patrick L. Nash and
Rafael López-Mobilia Associated Bessel functions and the
discrete approximation of the
free-particle time evolution operator in
cylindrical coordinates . . . . . . . . 1988--1993
N. R. Pantoja and
H. Rago and
R. O. Rodríguez Curvature singularity of the
distributional Bañados, Teitelboim, and
Zanelli black hole geometry . . . . . . 1994--2002
P. J. Forrester and
N. E. Frankel Applications and generalizations of
Fisher--Hartwig asymptotics . . . . . . 2003--2028
Olivier Pinaud Adiabatic approximation of the
Schrödinger--Poisson system with a
partial confinement: The stationary case 2029--2050
J. Guerrero and
J. L. Jaramillo and
V. Aldaya Group-cohomology refinement to classify
$G$-symplectic manifolds . . . . . . . . 2051--2072
S. Grillo and
H. Montani Integrable mixing of $ A_{n - 1} $ type
vertex models . . . . . . . . . . . . . 2073--2089
R. L. Hudson and
S. Pulmannová Double product integrals and Enriquez
quantization of Lie bialgebras I: The
quasitriangular identities . . . . . . . 2090--2105
B. Enriquez Comment on ``Double product integrals
and Enriquez quantization of Lie
bialgebras I: The quasitriangular
identities'', Hudson and Pulmannová, [J.
Math. Phys. \bf 45, 2090 (2004)] . . . . 2106--2107
Stephen C. Anco and
Roh S. Tung Erratum: ``Properties of the symplectic
structure of general relativity for
spatially bounded space--time regions'',
[J. Math. Phys. \bf 43, 3984 (2002)] . . 2108--2108
Stephen C. Anco and
Roh S. Tung Erratum: ``Covariant Hamiltonian
boundary conditions in General
Relativity for spatially bounded
space--time regions'', [J. Math. Phys.
\bf 43, 5531 (2002)] . . . . . . . . . . 2109--2109
L. Fernández-Jambrina and
L. M. González-Romero Nonsingular $ G_2 $ stiff fluid
cosmologies . . . . . . . . . . . . . . 2113--2123
Samir K. Paul and
Siddhartha Sen The appearance of the resolved singular
hypersurface in the classical phase
space of the Lie group $ {\rm SU}(n) $ 2124--2133
D. A. Yarotsky Perturbations of ground states in weakly
interacting quantum spin systems . . . . 2134--2152
Aidan Burch Histories electromagnetism . . . . . . . 2153--2170
Joseph M. Renes and
Robin Blume-Kohout and
A. J. Scott and
Carlton M. Caves Symmetric informationally complete
quantum measurements . . . . . . . . . . 2171--2180
H. W. Schürmann and
V. S. Serov Traveling wave solutions of a
generalized modified
Kadomtsev--Petviashvili equation . . . . 2181--2187
Jirí Patera and
Edita Pelantová and
Milena Svobodová Fine gradings of $ o(4, \mathbb {C}) $ 2188--2198
E. Brüning and
S. Nagamachi Relativistic quantum field theory with a
fundamental length . . . . . . . . . . . 2199--2231
T. Melamed Phase-space Green's functions for
modeling time-harmonic scattering from
smooth inhomogeneous objects . . . . . . 2232--2247
Mark D. Roberts Quantizing the line element field . . . 2248--2257
A. D. Alhaidari The relativistic Dirac--Morse Green's
function . . . . . . . . . . . . . . . . 2258--2265
Francesco Calogero A technique to identify solvable
dynamical systems, and a solvable
generalization of the goldfish many-body
problem . . . . . . . . . . . . . . . . 2266--2279
F. Güngör and
V. I. Lahno and
R. Z. Zhdanov Symmetry classification of KdV-type
nonlinear evolution equations . . . . . 2280--2313
M. El Baz and
A. El Hassouni and
Y. Hassouni and
E. H. Zakkari $ d^3 = 0 $, $ d^2 = 0 $ differential
calculi on certain noncommutative
(super) spaces . . . . . . . . . . . . . 2314--2322
Ioana Bena and
Avinash Khare and
Avadh Saxena Soliton lattice and single soliton
solutions of the associated Lamé and Lamé
potentials . . . . . . . . . . . . . . . 2323--2337
S. Yu. Sakovich On bosonic limits of two recent
supersymmetric extensions of the Harry
Dym hierarchy . . . . . . . . . . . . . 2338--2342
Stefan Haesen and
Leopold Verstraelen Classification of the pseudosymmetric
space--times . . . . . . . . . . . . . . 2343--2346
Amos Ori and
Eran Rosenthal Calculation of the self force using the
extended-object approach . . . . . . . . 2347--2364
E. V. Ferapontov and
K. R. Khusnutdinova Hydrodynamic reductions of
multidimensional dispersionless PDEs:
The test for integrability . . . . . . . 2365--2377
Laurent Freidel and
Kirill Krasnov $2$D conformal field theories and
holography . . . . . . . . . . . . . . . 2378--2404
Bartolomé Coll and
Joan Josep Ferrando On the Leibniz bracket, the Schouten
bracket and the Laplacian . . . . . . . 2405--2410
I. A. Howard and
A. Minguzzi and
N. H. March and
M. P. Tosi Slater sum for the one-dimensional $
\sech^2 $ potential in relation to the
kinetic energy density . . . . . . . . . 2411--2419
E. V. Aksenova and
V. P. Romanov and
A. Yu. Valkov Calculation of correlation function of
the director fluctuations in cholesteric
liquid crystals by WKB method . . . . . 2420--2446
Stephen S. Bullock and
Gavin K. Brennen Canonical decompositions of $n$-qubit
quantum computations and concurrence . . 2447--2467
A. Atoyan and
J. Patera Properties of continuous Fourier
extension of the discrete cosine
transform and its multidimensional
generalization . . . . . . . . . . . . . 2468--2491
Jasbir Nagi Superconformal primary fields on a
graded Riemann sphere . . . . . . . . . 2492--2514
Sumati Surya Cyclic statistics in three dimensions 2515--2525
Claudio Carmeli and
Teiko Heinonen and
Alessandro Toigo Position and momentum observables on $
\mathbb {R} $ and on $ \mathbb {R}^3 $ 2526--2539
Patricia García-Godínez and
Ezra Ted Newman and
Gilberto Silva-Ortigoza $3$-geometries and the Hamilton--Jacobi
equation . . . . . . . . . . . . . . . . 2543--2559
R. C. McPhedran and
G. H. Smith and
N. A. Nicorovici and
L. C. Botten Distributive and analytic properties of
lattice sums . . . . . . . . . . . . . . 2560--2578
Walter F. Wreszinski and
Luiz A. Manzoni and
Oscar Bolina Existence of the Bogoliubov $ S(g) $
operator for the $ (\colon \phi^4
\colon)_2 $ quantum field theory . . . . 2579--2593
Daniel Maerten Killing initial data revisited . . . . . 2594--2599
M. Gregoratti and
R. F. Werner On quantum error-correction by classical
feedback in discrete time . . . . . . . 2600--2612
Hiroshi Isozaki and
Hideo Nakazawa and
Gunther Uhlmann Inverse scattering problem in nuclear
physics --- Optical model . . . . . . . 2613--2632
J. C. Brunelli and
Ashok Das On an integrable hierarchy derived from
the isentropic gas dynamics . . . . . . 2633--2645
J. C. Brunelli and
Ashok Das and
Ziemowit Popowicz Deformed Harry Dym and Hunter--Zheng
equations . . . . . . . . . . . . . . . 2646--2655
Stefan Weinzierl Expansion around half-integer values,
binomial sums, and inverse binomial sums 2656--2673
J. Zamastil and
J. Cízek and
M. Kalhous and
L. Skála and
M. Simánek The use of $ {\rm so}(2, 1) $ algebra
for the evaluation of atomic integrals:
The study of two-electron atoms . . . . 2674--2693
K. Thirulogasanthar and
Nasser Saad and
Attila B. von Keviczky Temporally stable coherent states for a
free magnetic Schrödinger operator . . . 2694--2717
Xiaodong Yan On limits to convective heat transport
at infinite Prandtl number with or
without rotation . . . . . . . . . . . . 2718--2743
F. Debbasch A diffusion process in curved
space--time . . . . . . . . . . . . . . 2744--2760
D. J. Rowe and
P. S. Turner and
J. Repka Spherical harmonics and basic coupling
coefficients for the group $ {\rm SO}(5)
$ in an $ {\rm SO}(3) $ basis . . . . . 2761--2784
Hernán Cendra and
Alberto Ibort and
Manuel de León and
David Martín de Diego A generalization of Chetaev's principle
for a class of higher order nonholonomic
constraints . . . . . . . . . . . . . . 2785--2801
Winston Fairbairn and
Carlo Rovelli Separable Hilbert space in loop quantum
gravity . . . . . . . . . . . . . . . . 2802--2814
Y. Almog The loss of stability of surface
superconductivity . . . . . . . . . . . 2815--2832
A. Boumenir and
Vu Kim Tuan Existence and construction of the
transmutation operator . . . . . . . . . 2833--2843
Antti Salmela Covariant Poisson equation with compact
Lie algebras . . . . . . . . . . . . . . 2844--2863
Partha Guha AKS hierarchy and bi-Hamiltonian
geometry of Gelfand--Zakharevich type 2864--2884
Ernst Binz and
Reinhard Honegger and
Alfred Rieckers Construction and uniqueness of the $
C^*$--Weyl algebra over a general
pre-symplectic space . . . . . . . . . . 2885--2907
Waldyr A. Rodrigues Algebraic and Dirac--Hestenes spinors
and spinor fields . . . . . . . . . . . 2908--2944
Ricardo A. Mosna and
Waldyr A. Rodrigues The bundles of algebraic and
Dirac--Hestenes spinor fields . . . . . 2945--2966
Lu Lu and
Charles R. Doering and
Friedrich H. Busse Bounds on convection driven by internal
heating . . . . . . . . . . . . . . . . 2967--2986
K. Chadan and
R. Kobayashi Erratum: ``A sufficient condition for
the existence of bound states in a
potential'', [J. Math. Phys. \bf 38,
4900 (1997)] . . . . . . . . . . . . . . 2987--2987
V. Dmitrasinovi\'c Erratum: ``Three-quark exchange
operators, crossing matrices and Fierz
transformations in $ {\rm SU}(2) $ and $
{\rm SU}(3) $'', [J. Math. Phys. 42, 991
(2001)] . . . . . . . . . . . . . . . . 2988--2989
Peter J. Zeitsch Symmetry operators for Riemann's method 2993--3000
Peter J. Zeitsch Riemann functions and the group $ E(1,
1) $ . . . . . . . . . . . . . . . . . . 3001--3018
S. Aubert and
C. S. Lam Invariant and group theoretical
integrations over the $ {\rm U}(n) $
group . . . . . . . . . . . . . . . . . 3019--3039
Frédéric Lesage and
Jòrgen Rasmussen SLE-type growth processes and the
Yang--Lee singularity . . . . . . . . . 3040--3048
Roman O. Popovych and
Nataliya M. Ivanova and
Homayoon Eshraghi Group classification of $ (1 +
1)$-dimensional Schrödinger equations
with potentials and power nonlinearities 3049--3057
Makoto Katori and
Hideki Tanemura Symmetry of matrix-valued stochastic
processes and noncolliding diffusion
particle systems . . . . . . . . . . . . 3058--3085
Richard L. Hall and
Wolfgang Lucha and
Franz F. Schöberl Relativistic $N$-boson systems bound by
pair potentials $ V(r_{i j}) = g(r_{i
j}^2)$ . . . . . . . . . . . . . . . . . 3086--3094
Gabriel Álvarez Langer--Cherry derivation of the
multi-instanton expansion for the
symmetric double well . . . . . . . . . 3095--3108
Peter Ullrich On the restriction of quantum fields to
a lightlike surface . . . . . . . . . . 3109--3145
Takeo Kojima and
Hitoshi Konno The Drinfeld realization of the elliptic
quantum group $ B_{q, \lambda
}(A_2^{(2)}) $ . . . . . . . . . . . . . 3146--3179
Eric A. Galapon Shouldn't there be an antithesis to
quantization? . . . . . . . . . . . . . 3180--3215
Joachim Toft Minimization under entropy conditions,
with applications in lower bound
problems . . . . . . . . . . . . . . . . 3216--3227
Don Colladay and
Patrick McDonald Yang--Mills instantons with Lorentz
violation . . . . . . . . . . . . . . . 3228--3238
A. M. Grundland and
A. J. Hariton Partially invariant solutions of models
obtained from the Nambu--Goto action . . 3239--3265
Fang Li and
Yao-Zhong Zhang Quantum doubles from a class of
noncocommutative weak Hopf algebras . . 3266--3281
F. Bonetto and
P. Falco and
A. Giuliani Analyticity of the SRB measure of a
lattice of coupled Anosov
diffeomorphisms of the torus . . . . . . 3282--3309
Christian Gruber and
Valentin A. Zagrebnov Random-field quantum spherical
ferroelectric model . . . . . . . . . . 3310--3321
S. Eswara Rao Partial classification of modules for
Lie-algebra of diffeomorphisms of
$d$-dimensional torus . . . . . . . . . 3322--3333
Tongsong Jiang An algorithm for eigenvalues and
eigenvectors of quaternion matrices in
quaternionic quantum mechanics . . . . . 3334--3338
Mark Naber Time fractional Schrödinger equation . . 3339--3352
Salvino Ciccariello The Lerch function and the
thermodynamical functions of the ideal
quantum gases . . . . . . . . . . . . . 3353--3361
Jean-Pierre Gabardo and
Deguang Han Balian--Low phenomenon for subspace
Gabor frames . . . . . . . . . . . . . . 3362--3378
M. J. Pareja Bounds on the dragging rate of slowly
and differentially rotating relativistic
stars . . . . . . . . . . . . . . . . . 3379--3398
Ralf Lehnert Dirac theory within the Standard-Model
Extension . . . . . . . . . . . . . . . 3399--3412
Alastair Brodlie Nonlinear canonical transformations in
classical and quantum mechanics . . . . 3413--3431
M. Daoud Analytic representations based on $ {\rm
su}(3) $ coherent states and Robertson
intelligent states . . . . . . . . . . . 3435--3443
E. K. Lenzi and
R. S. Mendes and
Kwok Sau Fa and
L. R. da Silva and
L. S. Lucena Solutions for a fractional nonlinear
diffusion equation: Spatial time
dependent diffusion coefficient and
external forces . . . . . . . . . . . . 3444--3452
Vincent Bruneau and
Georgi D. Raikov High energy asymptotics of the magnetic
spectral shift function . . . . . . . . 3453--3461
Hongyan Li and
Shengfan Zhou and
Fuqi Yin Global periodic attractor for strongly
damped wave equations with time-periodic
driving force . . . . . . . . . . . . . 3462--3467
Guy Boillat and
Tommaso Ruggeri Energy momentum, wave velocities and
characteristic shocks in Euler's
variational equations with application
to the Born--Infeld theory . . . . . . . 3468--3478
Shixiang Ma and
Shijin Ding On the initial boundary value problem
for a shallow water equation . . . . . . 3479--3497
J. Fernando Barbero G. and
Guillermo A. Mena Marugán and
Eduardo J. S. Villaseñor Asymptotic analysis of field commutators
for Einstein--Rosen gravitational waves 3498--3532
A. Amaya-Tapia and
G. Gasaneo and
S. Ovchinnikov and
J. H. Macek and
S. Y. Larsen Integral representation of
one-dimensional three particle
scattering for $ \delta $ function
interactions . . . . . . . . . . . . . . 3533--3545
J. L. Flores and
Y. Parra and
U. Percoco On the general structure of Ricci
collineations for type B warped
space--times . . . . . . . . . . . . . . 3546--3557
Carlo Morosi and
Livio Pizzocchero On a theorem by Treves . . . . . . . . . 3558--3564
Joseph V. Pulé and
Valentin A. Zagrebnov The canonical perfect Bose gas in
Casimir boxes . . . . . . . . . . . . . 3565--3583
Mark A. Stremler Evaluation of phase-modulated lattice
sums . . . . . . . . . . . . . . . . . . 3584--3589
P. G. L. Leach and
M. C. Nucci Reduction of the classical MICZ--Kepler
problem to a two-dimensional linear
isotropic harmonic oscillator . . . . . 3590--3604
Palle E. T. Jorgensen The existence problem for dynamics of
dissipative systems in quantum
probability . . . . . . . . . . . . . . 3605--3619
Giacomo Mauro D'Ariano Extremal covariant quantum operations
and positive operator valued measures 3620--3635
Thomas Guhr and
Heiner Kohler Derivation of the supersymmetric
Harish-Chandra integral for $ {\rm
UOSp}(k_1 / 2 k_2) $ . . . . . . . . . . 3636--3644
N. N. Ganikhodjaev and
C. H. Pah and
M. R. B. Wahiddin An Ising model with three competing
interactions on a Cayley tree . . . . . 3645--3658
Ludwik Turko Finite size universe or perfect squash
problem . . . . . . . . . . . . . . . . 3659--3675
Gheorghe Nenciu and
Vania Sordoni Semiclassical limit for multistate
Klein--Gordon systems: almost invariant
subspaces, and scattering theory . . . . 3676--3696
Shahn Majid Introduction: Quantum Groups and
Noncommutative Geometry . . . . . . . . 3701--3702
Philippe Bonneau and
Murray Gerstenhaber and
Anthony Giaquinto and
Daniel Sternheimer Quantum groups and deformation
quantization: Explicit approaches and
implicit aspects . . . . . . . . . . . . 3703--3741
Yan Soibelman Mirror symmetry and noncommutative
geometry of $ A_\infty $-categories . . 3742--3757
Kurusch Ebrahimi-Fard and
Li Guo and
Dirk Kreimer Integrable renormalization I: The ladder
case . . . . . . . . . . . . . . . . . . 3758--3769
Gerald A. Goldin and
Shahn Majid On the Fock space for nonrelativistic
anyon fields and braided tensor products 3770--3787
V. K. Dobrev and
S. T. Petrov $q$-conformal invariant equations and
$q$-plane wave solutions . . . . . . . . 3788--3799
Olga Bershtein Degenerate principal series of quantum
Harish--Chandra modules . . . . . . . . 3800--3827
Tatiana Gateva-Ivanova A combinatorial approach to the
set-theoretic solutions of the
Yang--Baxter equation . . . . . . . . . 3828--3858
William P. Joyce Recoupling Lie algebra and universal $
\omega $-algebra . . . . . . . . . . . . 3859--3877
Geoffrey Dixon Division algebras: Family replication 3878--3882
S. E. Akrami and
S. Majid Braided cyclic cocycles and
nonassociative geometry . . . . . . . . 3883--3911
Florin Panaite and
Freddy Van Oystaeyen Quasi-Hopf algebras and representations
of octonions and other quasialgebras . . 3912--3929
Ross Street Frobenius monads and pseudomonoids . . . 3930--3948
Florian Girelli and
Hendryk Pfeiffer Higher gauge theory-differential versus
integral formulation . . . . . . . . . . 3949--3971
Paul Bressler and
Yan Soibelman Homological mirror symmetry, deformation
quantization and noncommutative geometry 3972--3982
Cesar Maldonado-Mercado Deformation quantization in singular
spaces . . . . . . . . . . . . . . . . . 3983--3994
Iakovos Androulidakis Classification of extensions of
principal bundles and transitive Lie
groupoids with prescribed kernel and
cokernel . . . . . . . . . . . . . . . . 3995--4012
C. Adam Hopf maps as static solutions of the
complex eikonal equation . . . . . . . . 4017--4024
Murod Khamraev and
Farruh Mukhamedov On $P$-adic $ \lambda $-model on the
Cayley tree . . . . . . . . . . . . . . 4025--4034
Oliver Rudolph On extremal quantum states of composite
systems with fixed marginals . . . . . . 4035--4041
Simone Calogero The Newtonian limit of the relativistic
Boltzmann equation . . . . . . . . . . . 4042--4052
Mattias Blennow and
Tommy Ohlsson Exact series solution to the two flavor
neutrino oscillation problem in matter 4053--4063
Yang Desheng The asymptotic behavior of the
stochastic Ginzburg--Landau equation
with multiplicative noise . . . . . . . 4064--4076
Decio Levi and
Piergiulio Tempesta and
Pavel Winternitz Umbral calculus, difference equations
and the discrete Schrödinger equation . . 4077--4105
Xiaofeng Ren and
Juncheng Wei Stability of spot and ring solutions of
the diblock copolymer equation . . . . . 4106--4133
Erasmo Caponio and
Antonio Masiello The Avez--Seifert theorem for the
relativistic Lorentz force equation . . 4134--4140
Roman G. Smirnov and
Jin Yue Covariants, joint invariants and the
problem of equivalence in the invariant
theory of Killing tensors defined in
pseudo-Riemannian spaces of constant
curvature . . . . . . . . . . . . . . . 4141--4163
Serge Richard and
Rafael Tiedra de Aldecoa On perturbations of Dirac operators with
variable magnetic field of constant
direction . . . . . . . . . . . . . . . 4164--4173
Isabelle Catto and
Pavel Exner and
Christian Hainzl Enhanced binding revisited for a
spinless particle in nonrelativistic QED 4174--4185
Emanuel Gallo Two-dimensional Riemannian and
Lorentzian geometries from second-order
ODE's . . . . . . . . . . . . . . . . . 4186--4190
Asghar Qadir and
K. Saifullah Comments on matter collineations of
plane symmetric, cylindrically
symmetric, and spherically symmetric
space--times . . . . . . . . . . . . . . 4191--4192
M. Sharif Addendum: Symmetries of the
energy-momentum tensor . . . . . . . . . 4193--4195
Alvaro Arias and
Stan Gudder Almost sharp quantum effects . . . . . . 4196--4206
M. Arik and
A. Baykal Inhomogeneous quantum groups for
particle algebras . . . . . . . . . . . 4207--4217
Tongsong Jiang An algorithm for quaternionic linear
equations in quaternionic quantum theory 4218--4222
Elias Gravanis and
Steven Willison Intersecting hypersurfaces in
dimensionally continued topological
density gravitation . . . . . . . . . . 4223--4238
B. Beckermann and
A. Martínez-Finkelshtein and
E. A. Rakhmanov and
F. Wielonsky Asymptotic upper bounds for the entropy
of orthogonal polynomials in the Szeg\Ho
class . . . . . . . . . . . . . . . . . 4239--4254
V. M. Chabanov Recovering the $M$-channel
Sturm--Liouville operator from $ M + 1$
spectra . . . . . . . . . . . . . . . . 4255--4260
Ivan Rothstein Semiclassical wave-packet scattering in
one and two dimensions . . . . . . . . . 4261--4270
Mahmoud Abdel-Aty and
Abdel-Shafy F. Obada Analytic solution for entangled
two-qubit in a cavity field . . . . . . 4271--4281
Gulmaro Corona-Corona A Wronskian of Jost solutions . . . . . 4282--4287
D. P. Sankovich On the Bose condensation in some model
of a nonideal Bose gas . . . . . . . . . 4288--4300
W.-L. Yang and
R. Sasaki Solution of the dual reflection equation
for $ A_{n - 1}^{(1)} $ solid-on-solid
model . . . . . . . . . . . . . . . . . 4301--4309
Ekatherina A. Karatsuba Approximation of sums of oscillating
summands in certain physical problems 4310--4321
Dirk-M. Schlingemann Error syndrome calculation for graph
codes on a one-way quantum computer:
Towards a quantum memory . . . . . . . . 4322--4333
Lyle Noakes Non-null Lie quadratics in $ E^3 $ . . . 4334--4351
Ctirad Klimcík $q$-deformation of $ z \rightarrow
(\alpha z + \beta) / (\gamma z +
\delta)$ . . . . . . . . . . . . . . . . 4352--4359
Hongjun Yu Global classical solution of the
Vlasov--Maxwell--Landau system near
Maxwellians . . . . . . . . . . . . . . 4360--4376
H. R. Jauslin and
O. Sapin and
S. Guérin and
W. F. Wreszinski Upper quantum Lyapunov exponent and
parametric oscillators . . . . . . . . . 4377--4385
Andrew N. Jordan and
Eugene V. Sukhorukov and
Sebastian Pilgram Fluctuation statistics in networks: A
stochastic path integral approach . . . 4386--4417
Miloslav Znojil Fragile $ P T $-symmetry in a solvable
model . . . . . . . . . . . . . . . . . 4418--4430
Giulio Chiribella and
Giacomo Mauro D'Ariano Extremal covariant positive operator
valued measures . . . . . . . . . . . . 4435--4447
Stefano Vignolo and
Roberto Cianci A new geometrical look at gravity
coupled with Yang--Mills fields . . . . 4448--4463
Sophie de Buyl and
Christiane Schomblond Hyperbolic Kac Moody algebras and
Einstein billiards . . . . . . . . . . . 4464--4492
J. L. Borg and
J. V. Pulé Lifshits tails for random smooth
magnetic vortices . . . . . . . . . . . 4493--4505
Attilio Maccari Coherent solutions for relativistic
vectorial fields . . . . . . . . . . . . 4506--4514
Mauro Napsuciale and
Mariana Kirchbach Avoiding superluminal propagation of
higher spin waves via projectors onto $
W^2 $ invariant subspaces . . . . . . . 4515--4523
N. F. Svaiter Finite size effects in thermal field
theory . . . . . . . . . . . . . . . . . 4524--4538
Jun S. Song and
Yun S. Song On a conjecture of Givental . . . . . . 4539--4550
John T. Giblin and
Andrew D. Hwang Space--time slices and surfaces of
revolution . . . . . . . . . . . . . . . 4551--4559
H. Falomir and
M. A. Muschietti and
P. A. G. Pisani On the resolvent and spectral functions
of a second order differential operator
with a regular singularity . . . . . . . 4560--4577
T. Skrypnyk Deformations of loop algebras and
integrable systems: hierarchies of
integrable equations . . . . . . . . . . 4578--4595
S. Majid and
E. Raineri Moduli of quantum Riemannian geometries
on $ \leq 4 $ points . . . . . . . . . . 4596--4627
Kazuyuki Yoshimura and
Ken Umeno Nonintegrability of nonhomogeneous
nonlinear lattices . . . . . . . . . . . 4628--4639
Dorothea Bahns The invariant charges of the Nambu--Goto
string and canonical quantization . . . 4640--4660
Francesco Calogero A technique to identify solvable
dynamical systems, and another solvable
extension of the goldfish many-body
problem . . . . . . . . . . . . . . . . 4661--4678
Florian Girelli and
Thomas Krajewski and
Pierre Martinetti An algebraic Birkhoff decomposition for
the continuous renormalization group . . 4679--4697
Vitor Cardoso and
José Natário and
Ricardo Schiappa Asymptotic quasinormal frequencies for
black holes in nonasymptotically flat
space--times . . . . . . . . . . . . . . 4698--4713
Gerd Niestegge Composite systems and the role of the
complex numbers in quantum mechanics . . 4714--4725
H. Dehnen and
V. D. Ivashchuk On spherically symmetric solutions with
horizon in model with multicomponent
anisotropic fluid . . . . . . . . . . . 4726--4736
Carlo Morosi and
Livio Pizzocchero On the Treves theorem for the
Ablowitz--Kaup--Newell--Segur equation 4737--4753
T. Grandou Angular intricacies in hot gauge field
theories . . . . . . . . . . . . . . . . 4754--4763
J. Sultana and
C. C. Dyer Conformal Killing horizons . . . . . . . 4764--4776
Keke Zhang and
Xinhao Liao and
Paul Earnshaw The Poincaré equation: A new polynomial
and its unusual properties . . . . . . . 4777--4790
A. Raab An approach to nonstandard quantum
mechanics . . . . . . . . . . . . . . . 4791--4809
Detlev Buchholz and
Stephen J. Summers Stable quantum systems in anti-de Sitter
space: Causality, independence, and
spectral properties . . . . . . . . . . 4810--4831
G. Auberson and
G. Mahoux and
S. M. Roy and
Virendra Singh Marginal distributions in $ (2 N)
$-dimensional phase space and the
quantum $ (N + 1) $ marginal theorem . . 4832--4854
Emmanuel Briand and
Jean-Gabriel Luque and
Jean-Yves Thibon and
Frank Verstraete The moduli space of three-qutrit states 4855--4867
S. Furuichi and
K. Yanagi and
K. Kuriyama Fundamental properties of Tsallis
relative entropy . . . . . . . . . . . . 4868--4877
Jeong-Ah Kim and
Dong-Uy Shin Crystal bases and generalized
Lascoux--Leclerc--Thibon (LLT) algorithm
for the quantum affine algebra $ {\rm
U}_q(C_n(1)) $ . . . . . . . . . . . . . 4878--4895
Masayuki Tanimoto Harmonic analysis of linear fields on
the nilgeometric cosmological model . . 4896--4919
Hans Halvorson Remote preparation of arbitrary
ensembles and quantum bit commitment . . 4920--4931
G. Contopoulos and
M. Harsoula Chaos in the case of two fixed black
holes . . . . . . . . . . . . . . . . . 4932--4956
Mirko Degli Esposti and
Andreas Knauf On the form factor for the unitary group 4957--4979
William Gordon Ritter Description of noncommutative theories
and matrix models by Wightman functions 4980--5002
Bruno Iochum and
Thomas Schücker and
Christoph Stephan On a classification of irreducible
almost commutative geometries . . . . . 5003--5041
B. D. Mestel and
A. H. Osbaldestin Golden mean renormalization for a
generalized Harper equation: The
Ketoja--Satija orchid . . . . . . . . . 5042--5075
A. Giacobbe and
R. H. Cushman and
D. A. Sadovskií and
B. I. Zhilinskií Monodromy of the quantum $ 1 \colon 1
\colon 2 $ resonant swing spring . . . . 5076--5100
C. Sparber and
P. Markowich Erratum: ``Semiclassical asymptotics for
the Maxwell--Dirac system'', [J. Math.
Phys. \bf 44, 4555 (2003)] . . . . . . . 5101--5101
Mary Beth Ruskai Erratum: ``Inequalities for quantum
entropy: A review with conditions for
equality'', [J. Math. Phys. \bf 43, 4358
(2002)] . . . . . . . . . . . . . . . . 019901
Masayuki Tanimoto Publisher's Note: ``Harmonic analysis of
linear fields on the nilgeometric
cosmological model'', [J. Math. Phys.
\bf 45, 4896 (2004)] . . . . . . . . . . 019902
J. Zamastil and
J. Cízek and
M. Kalhous and
L. Skála and
M. Simánek Erratum: ``The use of $ {\rm so}(2, 1) $
algebra for the evaluation of atomic
integrals: The study of two-electron
atoms'', [J. Math. Phys. 45, 2674
(2004)] . . . . . . . . . . . . . . . . 039901
Brian C. Hall and
Jeffrey J. Mitchell Erratum: ``Coherent states on spheres'',
[J. Math. Phys. \bf 43, 1211 (2002)] . . 059901
A. W. Sáenz Erratum: ``Quantum-mechanical scattering
in exterior domains with impenetrable
boundaries and short-range potentials'',
[J. Math. Phys. \bf 45, 1426 (2004)] . . 069901
C. G. Torre Erratum: ``The helically-reduced wave
equation as a symmetric-positive
system'', [J. Math. Phys. \bf 44, 6223
(2003)] . . . . . . . . . . . . . . . . 029901
Carlton M. Caves and
Christopher A. Fuchs and
Rüdiger Schack Erratum: ``Unknown quantum states: The
quantum de Finetti representation'', [J.
Math. Phys. \bf 44, 4537 (2002)] . . . . 019902
Eric. A. Galapon Erratum: ``Shouldn't there be an
antithesis to quantization?'', [J. Math.
Phys. \bf 45, 3180 (2004)] . . . . . . . 099902
Gerd Niestegge Erratum: ``Composite systems and the
role of the complex numbers in quantum
mechanics'', [J. Math. Phys. \bf 45,
4714 (2004)] . . . . . . . . . . . . . . 029901
A. Rabeie and
Z. Jalilian Comment on ``Coherent states on
spheres'', [J. Math. Phys. \bf 43, 1211
(2002)] . . . . . . . . . . . . . . . . 084101
Stefan Haesen and
Leopold Verstraelen Erratum: ``Ideally embedded
space--times'' [J. Math. Phys. \bf 45,
1497 (2004)] . . . . . . . . . . . . . . 049902
E. R. F. Taillebois and
A. T. Avelar Comment on ``Quantum time and spatial
localization: An analysis of the
Hegerfeldt paradox'' [J. Math. Phys. 41,
6093 (2000)] . . . . . . . . . . . . . . 104101