Generalized Weyl-Wigner map and Vey quantum mechanics

Journal of Mathematical Physics

Volumn 42, Issue 12, 2001, Pages 5565-5579

  Dias, Nuno Costa ^a   Prata, João Nuno ^a  

^a UNIVERSIDADE LUSÓFONA DE HUMANIDADES E TECNOLOGIAS   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035540658     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1415086     Document Type: Article

References (35)

1. H. Weyl, Z. Phys. 46, 1 (1927).
2. E. Wigner, Phys. Rev. 40, 749 (1932).
3. J. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949).
4. E. Wigner, in Perspectives in Quantum Theory, edited by W. Yourgrau and A. van der Merwe (MIT, Cambridge, 1971).
5. H. W. Lee, Phys. Rep. 259, 147 (1995).
6. P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983).
7. N. Balazs and B. Jennings, Phys. Rep. 104, 347 (1984).
8. T. Curtright, D. Fairlie, and C. Zachos, Phys. Rev. D 58, 025002 (1998).
9. N. Bohr, Nature (London) 12, 65 (1935).
10. W. Heisenberg, Z. Phys. 43, 172 (1936).
11. P. A. M. Dirac, The Principles of Quantum Mechanics (Clarendom, Oxford, 1930).
12. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Hermann, Paris, 1977).
13. G. Baker, Phys. Rev. 109, 2198 (1958).
14. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N. Y.) 111, 61 (1978).
15. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N. Y.) 111, 111 (1978).
16. H. W. Lee and M. O. Scully, Found. Phys. 13, 61 (1983).
17. T. Smith, J. Phys. A 11, 2179 (1978).
18. N. C. Dias, quant-ph/9912034 (1999).
19. N. C. Dias and J. N. Prata, quant-ph/0003005 (2000).
20. M. Latka, P. Grigolini, and B. West, Phys. Rev. A 47, 4649 (1993).
21. H. Lee and J. Shin, Phys. Rev. E 50, 902 (1994).
22. N. C. Dias, J. Phys. A 34, 771 (2001).
23. N. C. Dias and J. N. Prata, quant-ph/0005019 (2000).
24. D. B. Fairlie, Mod. Phys. Lett. A 13, 263 (1998).
25. L. Baker and D. B. Fairlie, J. Math. Phys. 40, 2539 (1999).
26. N. Seiberg and E. Witten, I. High Energy Phys. 9909, 032 (1999).
27. T. Curtright, T. Uematsu, and C. Zachos, J. Math. Phys. 42, 2396 (2001).
28. N. C. Dias and J. N. Prata, quant-ph/0012140 (2000).
29. J. Vey, Comment. Math. Helv. 50, 421 (1975).
30. M. Wilde and P. Lecomte, Lett. Math. Phys. 7, 487 (1983).
31. P. Etingof and D. Kazhdan, Selecta Math., New Series 2, 1 (1996).
32. H. Omori, Y. Maeda, and A. Yoshioka, Adv. Math. 85, 224 (1991).
33. B. Fedosov, J. Diff. Geom. 40, 213 (1994).
34. B. Fedosov, Deformation Quantization and Index Theory (Akademie Verlag, Berlin, 1996).
35. N. C. Dias and J. N. Prata, in preparation.