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Holman, Wayne J. III; Biedenharn, Lawrence C. jun.

Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\). (English) Zbl 0144.23804

Ann. Phys. 39, 1-24 (1966).
Reviewer: J. G. Belinfante
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0144.23804

Cited in 2 Reviews
Cited in 39 Documents

MSC:

22E70 Applications of Lie groups to the sciences; explicit representations
81R05 Finite-dimensional groups and algebras motivated by physics and their representations

Keywords:

complex angular momenta; Clebsch-Gordan coefficients; generalized Wigner coefficients; noncompact Lie group; hermitian representations
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References:

[1] Brussaard, P.; Tolhoek, J. H., Physica, 23, 955 (1957) · Zbl 0078.19605
[2] Edmonds, A. R., Angular Momentum in Quantum Mechanics (1957), Princeton Univ. Press: Princeton Univ. Press Princeton, Sec. 2.7 and Appendix 2 · Zbl 0079.42204
[3] Wigner, E. P., Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (1959), Academic Press: Academic Press New York and London, Chap. 27 · Zbl 0085.37905
[4] Bargmann, V., Ann. Math., 48, 568 (1947) · Zbl 0045.38801
[5] A. O. Barut and C. Fronsdal; A. O. Barut and C. Fronsdal
[6] Jordan, P., Z. Physik, 94, 531 (1935) · JFM 61.1025.05
[7] Schwinger, J., On angular momentum, (Biedenharn, L. C.; van Dam, H., Quantum Theory of Angular Momentum (1965), Academic Press: Academic Press New York and London) · Zbl 0149.46301
[8] Bargmann, V., Commun. Pure Appl. Math., 14, 187 (1961) · Zbl 0107.09102
[9] L. C. Biedenharn, J. Nuyts, and N. StraumannAnn. Inst. Henri Poincaré; L. C. Biedenharn, J. Nuyts, and N. StraumannAnn. Inst. Henri Poincaré
[10] Pukánszky, L., Am. Math. Soc. Trans., 100, 116 (1961) · Zbl 0105.09603
[11] Sciuto, S., Thesis (1965), Turin
[12] Barnes, E. W., (Proc. London Math. Soc., 5 (1906)), 59
[13] Morse, P. M.; Feshbach, H., (Methods of Theoretical Physics, vol. I (1953), Academic Press: Academic Press New York), 388, Our notation is that of · Zbl 0051.40603
[14] Pochhammer, L., Math. Ann., 35, 470 (1890) · JFM 22.0407.02
[15] Pochhammer, L., J. Reine Angew. Math., 102, 76 (1888)
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