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BibTeX entry
@Article{Weaver:1978:ES,
author = "D. L. Weaver",
title = "Eigenvalues of {$S \cdot \pi$} for spins $1/2$, $1$,
and $3/2$",
journal = j-J-MATH-PHYS,
volume = "19",
number = "1",
pages = "88--91",
month = jan,
year = "1978",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.523519",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:28:15 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v19/i1/p88_s1",
acknowledgement = ack-nhfb,
classification = "A0365F (Algebraic methods in quantum theory)",
corpsource = "Dept. of Phys., Tufts Univ., Medford, MA, USA",
keywords = "algebraic relations; commutation relations; constant
magnetic field; eigenvalues and eigenfunctions;
eigenvalues of S.pi; Lorentz transformation properties;
lowest nonzero spins; matrix algebra; matrix operator
S.pi; quantum theory; spin matrices",
onlinedate = "11 August 2008",
pagecount = "4",
treatment = "T Theoretical or Mathematical",
}
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16(5)1090,
16(6)1234,
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18(6)1295,
18(7)1382,
19(2)477
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19(5)935
- commutation,
16(3)724,
16(5)1034,
17(3)322,
17(4)524,
17(7)1190,
19(1)67,
19(2)526,
19(8)1751,
19(10)2089,
20(3)522,
20(4)712,
20(10)2081,
20(10)2115
- constant,
16(3)548,
16(4)862,
16(6)1259,
16(7)1367,
16(9)1786,
16(10)2103,
17(1)94,
17(5)704,
17(5)706,
17(7)1345,
17(8)1509,
17(12)2169,
18(2)306,
18(3)424,
18(6)1267,
18(7)1412,
18(12)2395,
18(12)2436,
19(1)5,
19(1)151,
19(4)830,
19(6)1340,
19(6)1445,
19(7)1587,
19(10)2028,
19(10)2082,
19(10)2085,
19(12)2461,
20(2)241,
20(3)382,
20(4)629,
20(6)1004,
20(12)2481
- eigenfunction,
16(2)177,
16(2)268,
16(3)512,
16(5)1117,
16(5)1172,
16(6)1239,
16(7)1393,
16(11)2301,
17(2)163,
17(2)261,
17(3)394,
17(3)401,
17(4)474,
17(4)478,
17(4)542,
17(4)554,
17(7)1173,
17(7)1274,
17(8)1611,
18(1)163,
18(2)312,
18(5)918,
18(6)1275,
18(7)1382,
18(7)1387,
18(7)1417,
18(9)1849,
18(10)1908,
18(10)2044,
18(11)2207,
18(12)2296,
18(12)2382,
19(4)883,
19(4)901,
19(5)1192,
19(6)1307,
19(6)1386,
19(6)1426,
19(6)1445,
19(7)1594,
19(8)1654,
19(8)1658,
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19(10)2018,
19(10)2187,
19(10)2223,
19(10)2239,
19(12)2441,
19(12)2476,
19(12)2591,
20(1)83,
20(1)188,
20(2)247,
20(2)344,
20(3)396,
20(3)413,
20(4)617,
20(4)752,
20(5)871,
20(5)943,
20(6)1157,
20(6)1260,
20(7)1336,
20(7)1352,
20(7)1453,
20(8)1776,
20(9)1848,
20(9)1878,
20(9)1891,
20(11)2178,
20(11)2233,
20(12)2471,
20(12)2481,
20(12)2633
- Lorentz,
16(1)104,
16(5)1023,
16(6)1210,
16(7)1380,
16(12)2385,
17(2)185,
17(2)193,
17(10)1797,
18(1)1,
18(4)564,
18(4)608,
18(4)641,
18(4)720,
18(5)889,
18(5)898,
18(9)1768,
18(12)2360,
19(1)157,
19(2)370,
19(4)848,
19(5)1118,
19(5)1196,
19(6)1265,
19(6)1335,
19(6)1471,
19(7)1589,
19(7)1627,
19(8)1656,
19(8)1667,
19(9)1812,
19(11)2271,
19(11)2278,
19(12)2520,
19(12)2546,
20(1)25,
20(1)132,
20(2)260,
20(2)311,
20(3)390,
20(3)492,
20(4)691,
20(5)921,
20(7)1308,
20(7)1341,
20(7)1460,
20(7)1514,
20(7)1520,
20(8)1648,
20(8)1684,
20(9)1851,
20(11)2334,
20(11)2339,
20(12)2549,
20(12)2621
- lowest,
17(6)863,
17(8)1371
- nonzero,
18(3)381,
19(5)987,
19(6)1300,
19(6)1382
- relation,
14(8)1141,
16(1)68,
16(1)171-1,
16(2)400,
16(3)724,
16(4)776,
16(5)1034,
16(5)1150,
16(5)1156,
16(6)1288,
16(9)1886,
17(1)13,
17(3)322,
17(4)524,
17(6)1011,
17(6)1056,
17(7)1190,
17(8)1509,
17(8)1521,
17(9)1752,
17(10)1821,
17(11)1954,
18(1)116,
18(1)173,
18(1)182,
18(4)537,
18(5)944,
18(9)1825,
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18(10)1985,
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18(12)2251,
18(12)2407,
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19(2)409,
19(2)482,
19(3)568,
19(5)1184,
19(6)1345,
19(6)1391,
19(8)1751,
19(10)2089,
19(10)2207,
20(4)721,
20(6)979,
20(7)1321,
20(7)1331,
20(8)1759,
20(10)2081,
20(10)2115,
20(10)2126,
20(11)2178,
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- Weaver, D. L.,
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