The canonical connection in quantum mechanics

Journal of Mathematical Physics

Volumn 37, Issue 2, 1996, Pages 625-636

  Lévay, Péter ^a   McMullan, David ^b   Tsutsui, Izumi ^c  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b UNIVERSITY OF PLYMOUTH   (United Kingdom)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030547891     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531432     Document Type: Article

References (23)

1. See, for example, A. Shapere and F. Wilczek, in Geometric Phases in Physics World Scientific; (Singapore, 1989).
2. N. P. Landsman and N. Linden, Nucl. Phys. B 365, 121 (1991).
3. L. Vinet, Phys. Rev. D 37, 2369 (1988).
4. S. Giler, P. Kosinski, and L. Szymanowsky, Int. J. Mod. Phys. A 4, 1453 (1989).
5. P. Lévay, J. Phys. A 27, 2857 (1994).
6. G. W. Mackey, Induced Representations of Groups and Quantum Mechanics (Benjamin, New York, 1969).
7. Y. Ohnuki and S. Kitakado, J. Math. Phys. 34, 2827 (1993).
8. S. Takagi and T. Tanzawa, Prog. Theor. Phys. 87, 561 (1992).
9. K. Fujii and N. Ogawa, Prog. Theor. Phys. 89, 575 (1993).
10. D. McMullan and I. Tsutsui, Ann. Phys. 237, 269 (1995); Phys. Lett. B 320, 287 (1994).
11. D. McMullan and I. Tsutsui, Ann. Phys. 237, 269 (1995); Phys. Lett. B 320, 287 (1994).
12. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience, New York, 1969), Vol. I.
13. R. Camporesi, Phys. Rep. C 196, 1 (1990).
14. J. Strathdee, in Supersymmetry and Supergravity '82, edited by S. Ferrara et al. (World Scientific, Singapore, 1983).
15. S. Tanimura, "Quantum mechanics on manifolds," Nagoya University preprint DPNU-93-21.
16. D," Int. Jn. Mod. Phys. (in press).
17. K. Fujii, Lett. Math. Phys. 12, 363 (1986).
18. A. Bohm, Quantum Mechanics: Foundations and Applications, 2nd ed. (Springer-Verlag, New York, 1986).
19. J. Wudka, J. Phys. A: 25, 2945 (1992).
20. S. E. Humphreys, Introduction to Lie Algebras and Representation Theory (Springer-Verlag, Berlin, 1972).
21. N. R. Wallach, Harmonic Analysis on Homogeneous Spaces (Marcel Dekker, New York, 1973).
22. H. Jensen and H. Koppe, Ann. Phys. 63, 586 (1971).
23. W. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).