Constrained quantization on symplectic manifolds and quantum distribution functions

Journal of Mathematical Physics

Volumn 38, Issue 6, 1997, Pages 2851-2879

  Jorjadze, G ^a  

^a A RAZMADZE MATHEMATICAL INSTITUTE   (Georgia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031517680     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532052     Document Type: Article

References (27)

1. N. M. J. Woodhous, Geometric Quantization (Clarendon, Oxford, 1992).
2. G. Jorjadze, G. Lavrelashvili, and I. Sarishvili, J. Phys. A 26, 751 (1993).
3. G. Jorjadze and I. Sarishvili, Theor. Math. Phys. 93, 1239 (1993).
4. P. A. M. Dirac, Lectures on Quantum Mechanics (Yeshive University, New York, 1964).
5. K. Sundermeyer, Constrained Dynamics, Lecture Notes in Physics Vol. 169 (Springer-Verlag, Berlin, 1982).
6. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University, Princeton, NJ, 1992).
7. E. S. Fradkin and V. Ya. Linetski, Nucl. Phys. B 431, 569 (1994).
8. E. S. Fradkin and V. Ya. Linetski, Nucl. Phys. B 444, 577 (1995).
9. Y. Sobouti and S. Nasiri, Int. J. Mod. Phys. B 18, 3255 (1993).
10. E. Gozzi, Phys. Lett. A 202, 330 (1995).
11. J. R. Klauder, Geometric Quantization from a Coherent State Viewpoint, Proceedings of the XIV Workshop on Geometric Methods in Physics, Bielowieza, Poland, 1995 (to be published).
12. J. R. Klauder and P. Maraner, "Dynamics as Shadow of the Phase Space Geometry," Report No. UPRF-96-462, 1996 (unpublished).
13. A. Ashtekar and R. S. Tate, J. Math. Phys. 35, 6434 (1994).
14. L. D. Faddeev and S. Shatashvili, Phys. Lett. B 167, 225 (1986).
15. S. Gupta, Proc. R. Soc. London, Ser. A 63, 681 (1950).
16. K. Bleuler, Helv. Phys. Acta 23, 567 (1950).
17. L. D. Faddeev and A. A. Slavnov, Introduction to the Quantum Theory of Gauge Fields (Nauka, Moscow, 1984).
18. M. Stone, Proc. Natl. Acad. Sci. USA 16, 172 (1930).
19. J. von-Neumann, Math. Ann. 104, 570 (1931).
20. L. R. Klauder and B. S. Skagerstam, Coherent States, Applications in Physics and Mathematical Physics (World Scientific, Singapore, 1985).
21. A. M. Perelomov, Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).
22. A. M. Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras (Birkhauser Verlag, Basel, 1990).
23. R. Jackiw, J. Math. Phys. 9, 339 (1968).
24. P. Carruthers and M. Nieto, Rev. Mod. Phys. 40, 411 (1968).
25. F. A. Berezin, Comm. Math. Phys. 40, 153 (1975).
26. J. von-Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University, Princeton, NJ, 1955).
27. E. Wigner, Phys. Rev. 40, 740 (1932).