Admissible states in quantum phase space

Annals of Physics

Volumn 313, Issue 1, 2004, Pages 110-146

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

^a UNIVERSIDADE LUSÓFONA DE HUMANIDADES E TECNOLOGIAS   (Portugal)

Author keywords

Pure and mixed quantum states; Quasi distributions; Wigner quantum mechanics

Indexed keywords

EID: 4344602442     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aop.2004.03.008     Document Type: Article

References (42)

1. Lee H.W. Phys. Rep. 259 1995 147
2. Weyl H. Z. Phys. 46 1927 1
3. Neumann J.V. Math. Ann. 104 1931 570
4. Wigner E. Phys. Rev. 40 1932 749
5. Groenewold H. Physica 12 1946 405
6. Moyal J. Proc. Camb. Philos. Soc. 45 1949 99
7. Fairlie D. Proc. Camb. Philos. Soc. 60 1964 581
8. Dias N.C. Prata J.N. J. Math. Phys. 43 2002 4602
9. Bayen F. et al. Ann. Phys. 111 1978 61
10. Bayen F. et al. Ann. Phys. 110 1978 111
11. Baker G. Phys. Rev. 109 1958 2198
12. Curtright T. Fairlie D. Zachos C. Phys. Rev. D 58 1998 025002
13. Tatarskii V.I. Sov. Phys. Usp. 26 1983 311
14. Carruthers P. Zachariasen F. Rev. Mod. Phys. 55 1983 24
15. Balazs N. Jennings B. Phys. Rep. 104 1984 347
16. D.B. Fairlie. Available from
17. Dias N.C. Prata J.N. Ann. Phys. 311 2004 120
18. Lee H.W. Scully M.O. Found. Phys. 13 1983 61
19. Smith T. J. Phys. A 11 1978 2179
20. N.C. Dias, J.N. Prata. Available from quant-ph/0003005 (2000)
21. Dias N.C. J. Phys. A 34 2001 771
22. N.C. Dias, J.N. Prata. Available from quant-ph/0005019
23. Latka M. et al. Phys. Rev. A 47 1993 4649
24. Lee H. Shin J. Phys. Rev. E 50 1994 902
25. Takahashi K. Prog. Theoret. Phys. Suppl. 98 1989 109
26. Curtright T. Zachos C. Prog. Theoret. Phys. Suppl. 135 1999 244
27. Antonsen F. Phys. Rev. D 56 1997 920
28. F. Antonsen. Available from gr-qc/9710021
29. Fairlie D.B. Mod. Phys. Lett. A 13 1998 263
30. Baker L. Fairlie D.B. J. Math. Phys. 40 1999 2539
31. Seiberg N. Witten E. J. High Energy Phys. 9909 1999 032
32. Pinzul A. Stern A. J. High Energy Phys. 0111 2001 023
33. N.C. Dias, J.N. Prata, in preparation
34. A. Messiah, Quantum Mechanics, vol. I, North Holland, Amsterdam, 1961
35. M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. I, Academic Press, New York, 1972
36. Landsman N.P. Mathematical Topics Between Classical and Quantum Mechanics 1998 Springer New York
37. Curtright T. Zachos C. Mod. Phys. Lett. A 16 2001 2381
38. Cohen L. J. Math. Phys. 7 1966 781
39. Gradshteyn I.S. Ryzhik I.M. Table of Integrals, Series, and Products 2000 Academic Press New York
40. Holland P.R. The Quantum Theory of Motion 1993 Cambridge University Press Cambridge
41. Dias N.C. Prata J.N. Phys. Lett. A 291 2001 355
42. Dias N.C. Prata J.N. Phys. Lett. A 302 2002 261