Wigner Coefficients for the S<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">U</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span> Group and some Applications

Marcos Moshinsky

doi:10.1103/RevModPhys.34.813

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Wigner Coefficients for the S $U_{3}$ Group and some Applications

Marcos Moshinsky^*

Instituto de Física, Universidad de México, México, D.F., México

^*Alfred P. Sloan Research Fellow.

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Rev. Mod. Phys. 34, 813 – Published 1 October, 1962

DOI: https://doi.org/10.1103/RevModPhys.34.813

References (25)

E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic Press Inc., New York, 1959), pp. 191, 293
J. P. Elliott, Proc. Roy. Soc. (London) A245, 128 (1958)
D. E. Littlewood, The Theory of Group Characters (Oxford University Press, New York, 1940), p. 94
M. Hamermesh, Group Theory and Its Application to Physical Problems (Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1962), pp. 151, 152
M. Goeppert-Mayer and J. H. D. Jensen, Elementary Theory of Nuclear Shell Structure (John Wiley & Sons, Inc., New York, 1955)
A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd 26, No. 14 (1952) A. Bohr and B. R. Mottelson, ibid. 27, No. 16 (1953)
V. Bargmann and M. Moshinsky, Nuclear Phys. 18, 697 (1960)
V. Bargmann and M. Moshinsky, Nuclear Phys. 23, 177 (1961)
M. Ikeda, S. Ogawa, and Y. Ohnuki, Progr. Theoret. Phys. (Kyoto) 22, 715 (1959) ibid.23, 1073 (1960) Suppl. Progr. Theoret. Phys. (Kyoto) No. 19, 44 (1961)
M. Gell-Mann, Phys. Rev. 125, 1067 (1962)
Y. Ne'eman, Nuclear Phys. 26, 222 (1961)
R. E. Behrends, J. Dreitlein, C. Fronsdal, and B. W. Lee, Revs. Modern Phys. 34, 1 (1962)
H. A. Jahn and H. van Wieringen, Proc. Roy. Soc. (London) A209, 502 (1951)
M. Hamermesh, reference 4, Chap. X
Omitted endnote
M. Moshinsky, Nuclear Phys. 31, 384 (1962)
E. P. Wigner, reference 1, p. 74
G. Racah, Phys. Rev. 62, 438 (1942)
G. Racah, Group Theory and Spectroscopy [Notes of lectures at the Institute of Advanced Study (Princeton, New Jersey, 1951)], pp, 44, 45
Omitted endnote
E. P. Wigner, reference 1, p. 115
E. P. Wigner, reference 1, p. 192
E. Netto, Lehrbuch der Combinatorik (Chelsea Publishing Company, New York), pp. 250, 251
B. R. Mottelson in Proceedings of the International Conference on Nuclear Structure, Kingston, Canada, edited by D. A. Bromley and E. W. Vogt (University of Toronto Press, Toronto, Ontario, 1960), p. 525-540
Omitted endnote

[c1] E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic Press Inc., New York, 1959), pp. 191, 293

[c2] J. P. Elliott, Proc. Roy. Soc. (London) A245, 128 (1958)

[c3] D. E. Littlewood, The Theory of Group Characters (Oxford University Press, New York, 1940), p. 94

[c4] M. Hamermesh, Group Theory and Its Application to Physical Problems (Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1962), pp. 151, 152

[c5] M. Goeppert-Mayer and J. H. D. Jensen, Elementary Theory of Nuclear Shell Structure (John Wiley & Sons, Inc., New York, 1955)

[c6] A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd 26, No. 14 (1952) A. Bohr and B. R. Mottelson, ibid. 27, No. 16 (1953)

[c7] V. Bargmann and M. Moshinsky, Nuclear Phys. 18, 697 (1960)

[c8] V. Bargmann and M. Moshinsky, Nuclear Phys. 23, 177 (1961)

[c9] M. Ikeda, S. Ogawa, and Y. Ohnuki, Progr. Theoret. Phys. (Kyoto) 22, 715 (1959) ibid.23, 1073 (1960) Suppl. Progr. Theoret. Phys. (Kyoto) No. 19, 44 (1961)

[c10] M. Gell-Mann, Phys. Rev. 125, 1067 (1962)

[c11] Y. Ne'eman, Nuclear Phys. 26, 222 (1961)

[c12] R. E. Behrends, J. Dreitlein, C. Fronsdal, and B. W. Lee, Revs. Modern Phys. 34, 1 (1962)

[c13] H. A. Jahn and H. van Wieringen, Proc. Roy. Soc. (London) A209, 502 (1951)

[c14] M. Hamermesh, reference 4, Chap. X

[c15] Omitted endnote

[c16] M. Moshinsky, Nuclear Phys. 31, 384 (1962)

[c17] E. P. Wigner, reference 1, p. 74

[c18] G. Racah, Phys. Rev. 62, 438 (1942)

[c19] G. Racah, Group Theory and Spectroscopy [Notes of lectures at the Institute of Advanced Study (Princeton, New Jersey, 1951)], pp, 44, 45

[c20] Omitted endnote

[c21] E. P. Wigner, reference 1, p. 115

[c22] E. P. Wigner, reference 1, p. 192

[c23] E. Netto, Lehrbuch der Combinatorik (Chelsea Publishing Company, New York), pp. 250, 251

[c24] B. R. Mottelson in Proceedings of the International Conference on Nuclear Structure, Kingston, Canada, edited by D. A. Bromley and E. W. Vogt (University of Toronto Press, Toronto, Ontario, 1960), p. 525-540

[c25] Omitted endnote

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Wigner Coefficients for the S $U_{3}$ Group and some Applications

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Wigner Coefficients for the SU3 Group and some Applications

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Wigner Coefficients for the S $U_{3}$ Group and some Applications