Wigner distribution function approach to dissipative problems in quantum mechanics with emphasis on decoherence and measurement theory

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 5, Issue 3, 2003, Pages

  O'Connell, R F ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Decoherence; Dissipation; Wigner distribution

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; INTEGRATION; QUANTUM OPTICS;

DECOHERENCE;

QUANTUM THEORY;

EID: 0037560337     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/5/3/369     Document Type: Conference Paper

References (50)

1. Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: Wiley)
2. Lindblad G 1976 Commun. Math. Phys. 48 119
3. Caldeira A O and Leggett A J 1983 Physica A 121 587
4. Dekker R 1977 Phys. Rev. A 16 2116
5. Dekker R 1981 Phys. Rep. 80 1
6. Walls D F and Milburn G J 1994 Quantum Optics (New York: Springer)
7. Ford G W, Lewis J T and O'Connell R F 1996 Ann. Phys., NY 252 362
8. Ford G W, Lewis J T and O'Connell R F 1988 Phys. Rev. A 37 4419
9. Hillery M, O'Connell R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
10. Ford G W, Lewis J T and O'Connell R F 2001 Phys. Rev. A 64 032101
11. Ford G W and O'Connell R F 2001 Phys. Rev. D 64 105020
12. Ford G W and Lewis J T 1986 Probability, statistical mechanics, and number theory Advances in Mathematics Supplemental Studies vol 9 (Orlando, FL: Academic) p 169
13. Ford G W and O'Connell R F 1999 Phys. Rev. Lett. 82 3376
14. Schwabl F and Thirring W 1964 Ergeb. Exakt. Naturwissenschaften 36 219
15. Ford G W, Kac M and Mazur P 1965 J. Math. Phys. 6 504
16. Lamb H 1900 Proc. London Math. Soc. 53 88
17. Kubo R 1966 Rep. Prog. Phys. 29 255
18. Langevin M P 1908 C. R. Acad. Sci., Paris 146 530 a translation of this article appears in Lemons D S and Gythiel A 1997 Am. J. Phys. 65 1079
19. Langevin M P 1908 C. R. Acad. Sci., Paris 146 530 a translation of this article appears in Lemons D S and Gythiel A 1997 Am. J. Phys. 65 1079
20. Ford G W and O'Connell R F 2000 Opt. Commun. 179 451 see especially section 4
21. Ambegaokar V 1993 Phys. Today 46 82
22. Ford G W and O'Connell R F 1996 Phys. Lett. A 215 246
23. Risken H 1984 The Fokker-Planck Equation (New York: Springer) p 7 equation (1.18)
24. Dodonov V V and Manko O V 1985 Physica A 130 353
25. Hu B L, Paz J P and Zhang Y 1992 Phys. Rev. D 45 2843
26. Haake F and Reibold R 1985 Phys. Rev. A 32 2462
27. Karrlein R and Grabert H 1997 Phys. Rev. E 55 153
28. Halliwell J J and Yu T 1996 Phys. Rev. D 53 2012
29. Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059
30. Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071
31. Dodonov V V, Manko O V and Manko VI 1995 J. Russ. Laser Res. 16 1
32. Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059
33. Walls D F and Milburn G J 1985 Phys. Rev. A 31 2403
34. Zurek W H 1991 Phys. Today 44 36
35. Giulini D, Joos E, Kiefer C, Kupisch J, Stamatescu I-O and Zeh H D 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (New York: Springer)
36. Ford G W and O'Connell R F 2001 Phys. Lett. A 286 87
37. Ford G W and O'Connell R F 2002 Am. J. Phys. 70 319
38. Zeilinger A 2000 Sci. Am. 282 32
39. Bennett C H 1995 Phys. Today 48 24
40. Quantum information Phys. World 11 (Special issue)
41. Haroche S 1998 Phys. Today 51 36
42. Zeilinger A 2000 Nature 408 639
43. Tegmark M and Wheeler J A 2001 Sci. Am. 284 68
44. Myatt C J, King B E, Turchette Q A, Sackett C A, Kielpinski D, Itano W M, Monroe C and Wineland D J 2000 Nature 403 269
45. Schleich W P 2000 Nature 403 256
46. Wangness R K and Bloch F 1953 Phys. Rev. 89 728
47. Anglin J R, Paz J P and Zurek W H 1997 Phys. Rev. A 55 4041
48. Murakami M, Ford G W and O'Connell R F 2003 Laser Phys. at press
49. O'Connell R F and Zuo J 2003 Effect of external field on decoherence, at press
50. Ford G W and O'Connell R F 2003 Decoherence at zero temperature, at press