Relationship between the Wigner function and the probability density function in quantum phase space representation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 2, 2004, Pages

  Li, Qian Shu ^a   Wei, Gong Min ^a,b   Lü, Li Qiang ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b CAPITAL NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; INTEGRATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBABILITY DENSITY FUNCTION; QUANTUM OPTICS; STATISTICAL MECHANICS;

HUSIMI FUNCTIONS; LIOUVILLE DYNAMICS; QUANTUM CHAOS; WIGNER FUNCTIONS;

QUANTUM THEORY;

EID: 19544364143     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.022105     Document Type: Article

References (32)

1. E. P. Wigner, Phys. Rev. 40, 740 (1932).
2. M. Freyberger et al., Phys. World 10, 41 (1997).
3. D. Leibfried et al., Phys. Today 51, No. 4, 22 (1998).
4. D. G. Welsch et al., in Progress in Optics XXXIX, edited by E. Wolf (North-Holland, Amsterdam, 1999).
5. H. Feldmeier et al., Prog. Part. Nucl. Phys. 39, 393 (1997).
6. M. V. Berry, in Chaotic Behaviour of Deterministic Systems, Les Houches Lecture Series Session XXXVI, edited by G. Iooss et al. (North-Holland, Amsterdam, 1983).
7. S. Habib et al., Phys. Rev. Lett. 80, 4361 (1998).
8. D. T. Smithey et al., Phys. Rev. Lett. 70, 1244 (1993).
9. Ch. Kurtsiefer et al., Nature (London) 386, 150 (1997).
10. G. Breitenbach el al., Nature (London) 387, 471 (1997).
11. K. Banszek et al., Phys. Rev. A 60, 674 (1999).
12. P. Lougovski et al., Phys. Rev. Lett. 91, 010401 (2003).
13. J. G. Kirkwood, Phys. Rev. 44, 31 (1933).
14. K. Husimi, Prog. Phys. Math. Soc. Jpn. 22, 264 (1940).
15. L. Cohen, J. Math. Phys. 7, 781 (1966).
16. L. Cohen and Y. I. Zaparovanny, J. Math. Phys. 21, 794 (1980).
17. E. P. Wigner, in Perspective in Quantum Theory, edited by W. Yourgrau and A. vander Merwe (Dover, New York, 1971).
18. R. F. O'Connel and E. P. Wigner, Phys. Lett. 83A, 145 (1981).
19. R. J. Glauber, Phys. Rev. 130, 2529 (1963).
20. R. J. Glauber, Phys. Rev. 131, 2767 (1963).
21. E. C. G. Sudarshan, Phys. Rev. Lett. 10, 277 (1963).
22. J. E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949).
23. R. J. Glauber, Quantum Optics and Electronics (Gordon and Breach, New York, 1965).
24. H. W. Lee, Found. Phys. 13, 61 (1983).
25. P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983).
26. M. V. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977).
27. K. Takahashi, Prog. Theor. Phys. Suppl. 98, 109 (1989).
28. E. Schroeck, Jr., Quantum Mechanics on Phase Space (Kluwer Academic, Dordrecht, 1996).
29. G. Torres-Vega and J. H. Frederick, J. Chem. Phys. 93, 8862 (1990).
30. G. Torres-Vega and J. H. Frederick, J. Chem. Phys. 98, 3103 (1993).
31. J. E. Harriman, J. Chem. Phys. 100, 3651 (1994).
32. M. Ban, J. Math. Phys. 39, 1744 (1998).