Artigo Revisado por pares

Realizations of Lie Algebras and the Algebraic Treatment of Quantum Problems

1972; Wiley; Volume: 20; Issue: 2 Linguagem: Inglês

10.1002/prop.19720200203

ISSN

1521-3978

Autores

P. Cordero, G. C. Ghirardi,

Tópico(s)

Quantum Mechanics and Non-Hermitian Physics

Resumo

Fortschritte der PhysikVolume 20, Issue 2 p. 105-133 Article Realizations of Lie Algebras and the Algebraic Treatment of Quantum Problems P. Cordero, P. Cordero Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, ChileSearch for more papers by this authorG. C. Ghirardi, G. C. Ghirardi Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile Istituto di Fisica Teorica dell'Università, Trieste, Italy.Search for more papers by this author P. Cordero, P. Cordero Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, ChileSearch for more papers by this authorG. C. Ghirardi, G. C. Ghirardi Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile Istituto di Fisica Teorica dell'Università, Trieste, Italy.Search for more papers by this author First published: 1972 https://doi.org/10.1002/prop.19720200203Citations: 29 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 L. Fonda and G. C. Ghirardi, Symmetry Principles in Quantum Physics, Marcel Dekker, Inc., N. Y., 1970. 2 V. Fock, Z. Phys. 98, 145 (1935). 3 V. Bargmann, Z. Phys. 99, 576 (1936). 4 J. M. Jauch and E. L. Hill, Phys. Rev. 57, 641 (1940). 5 G. A. Baker, Phys. Rev. 103, 1119 (1956). 6 S. P. Alliluev, Soviet Phys.-JETP 6, 156 (1958). 7 A. O. Barut, University of Colorado Report 1963 (unpublished). 8 A. O. Barut, Phys. Rev. 135, B839 (1964). 9 Y. Dothan, M. Gell-Mann and Y. Ne'eman, Phys. Letters 17, 148 (1965). 10 N. Mukunda, L. O'Raifeartaigh and E. C. G. Sudarshan, Phys. Rev. Letters 15, 1041 (1965). 11 N. Mukunda, L. O'Raifeartaigh and E. C. G. Sudarshan, Phys. Letters 19, 322 (1965). 12 R. Musto, Phys. Rev. 148, 1274 (1966). 13 R. H. Pratt and T. F. Jordan, Phys. Rev. 148, 1246 (1966). 14 A. Bohm, Nuovo Cimento 43, 665 (1966). 15 R. C. Hwa and J. Nuyts, Phys. Rev. 145, 1188 (1966). 16 M. Bander and C. Itzykson, Rev. Mod. Phys. 38, 330 (1966). 17 I. A. Malkin and V. I. Man'ko, JETP Letters 2, 146 (1965). 18 R. J. Finkelstein, J. Math. Phys. 8, 443 (1967). 19 A. O. Barut, Coral Gables Conference on Symmetry Principles at High Energy, W. H. Freeman, San Francisco 1964. 20 A. O. Barut and A. Bohm, Phys. Rev. 139, B 1107 (1965). 21 A. O. Barut, Phys. Rev. 1390, B1433 (1965). 22 A. O. Barut, P. Budini and C. Fronsdal, Proc. Roy. Soc. (London) A291, 106 (1966). 23 Y. Nambu, Progr. Theor. Phys. Suppl. 37, 368 (1966). 24 Y. Ne'eman, Comptes Rendus du Colloque du CRNS (1966). 25 Y. Nambu, Phys. Rev. 160, 1171 (1967). 26 C. Fronsdal, Phys. Rev. 156, 1665 (1967). 27 A. O. Barut and H. Kleinert, Phys. Rev. 156, 1541 (1967). 28 A. O. Barut and H. Kleinert, Phys. Rev. 157, 1180 (1967). 29 A. O. Barut and H. Kleinert, Phys. Rev. 160, 1149 (1967). 30 H. Kleinert, Lectures in Theoretical Physics Brittin and Barut Eds., Vol. XB, Gordon and Breach, London 1969. 31 H. Kleinert, Fortschr. Phys. 16, 1 (1968). 32 H. Kleinert, Phys. Rev. 167, 1527 (1968). 33 H. Kleinert, Phys. Rev. 168, 1827 (1968). 34 A. O. Barut, Lectures in Theoretical Physics Vol. XB, Gordon and Breach, London 1969. 35 P. Cordero and G. C. Ghirardi, Nuovo Cimento 2A, 217 (1971). 36 S. Goshen and H. J. Lipkin, Ann. Phys. N. Y. 6, 301 (1959). 37 J. Lanik, Nuclear Phys. 2B, 263 (1967). 38 J. Janik, Nuclear Phys. 5B, 523 (1968). 39 P. Aldrovandi and P. Leal-Ferreira, Letters Nuovo Cimento 1, 317 (1969). 40 P. Cordero, Letters Nuovo Cimento 4, 164 (1970). 41 P. Cordero and S. Hojman, Letters Nuovo Cimento 4, 1123 (1970). 42 P. Cordero, S. Hojman, P. Furlan and G. C. Ghirardi, Letters Nuovo Cimento 3A, 807 (1971). Nuovo Cimento. 43 P. Budini, Acta Phys. Austriaca Suppl. 4, 118 (1967). 44 N. Mukunda, J. Math. Phys. 5, 1069 (1967). 45 J. Rosen, Nuovo Cimento 49, A614 (1967). 46 J. M. Souriau, Nuovo Cimento 49, A198 (1967). 47 H. Lipkin, Lie Group for Pedestrians, North-Holland Publ. Co., Amsterdam 1965. 48 M. Gourdin, Unitary Symmetry, North-Holland Publ. Co., Amsterdam 1967. 49 E. B. Dynkin, Amer. Math. Soc. Transl. II, 6, 111 (1957). 50 A. J. Mal'cev, Amer. Math. Soc. Transl. I, 9, 172 (1957). 51 A. P. Stone, J. Math. Phys. 11, 29 (1970). 52 A. O. Barut and C. Fronsdal, Proc. Roy. Soc. London, A287, 532 (1965). 53 S. Hojman, Nuovo Cimento 4 A, 676 (1971). Citing Literature Volume20, Issue21972Pages 105-133 ReferencesRelatedInformation

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