The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 252, Issue 3-4, 1999, Pages 115-124

  Rocco, Andrea ^a   Grigolini, Paolo ^a,b,c  

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b UNIVERSITY OF PISA   (Italy)

^c CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV APPROXIMATION; QUANTUM BROWNIAN MOTIONS; SATISFACTORY MODELING;

BROWNIAN MOVEMENT;

EID: 0043283347     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00940-2     Document Type: Article

References (49)

1. R. Penrose, Shadows of the Mind, A Search for the Missing Science of Consciousness (Oxford Univ. Press, Oxford, 1994).
2. A. Barchielli, G. Lupieri, J. Math. Phys. 26 (1985) 2222.
3. A. Barchielli, Phys. Rev. A 34 (1986) 1642.
4. V.P. Belavkin, Phys. Lett. A 140 (1989) 355; J. Phys. A 22 (1989) L1109.
5. V.P. Belavkin, Phys. Lett. A 140 (1989) 355; J. Phys. A 22 (1989) L1109.
6. R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, NY, 1965).
7. M. Mensky, Phys. Lett. A 196 (1994) 159.
8. C. Presilla, R. Onofrio, U. Tambini, Ann. Phys. 248 (1996) 95.
9. C. Presilla, R. Onofrio, M. Patriarca, J. Phys. A 30 (1997) 7385.
10. R.P. Feynman, F.L. Vernon, Ann. Phys. 24 (1963) 118.
11. L. Tessieri, D. Vitali, P. Grigolini, Phys. Rev. A 51 (1995) 4404.
12. S.A. Adelman, J. Chem. Phys. 64 (1976) 124.
13. H. Mori, Prog. Theor. Phys. 33 (1965) 423.
14. H. Mori, Prog. Theor. Phys. 34 (1965) 399.
15. R.F. Fox, J. Math. Phys. 18 (1977) 2331.
16. H. Kleinert, S.V. Shabanov, Phys. Lett. A 200 (1995) 224.
17. L. Diósi, W.T. Strunz, quant-ph/9706050.
18. D. Vitali, P. Grigolini, Phys. Rev. A 39 (1989) 1486.
19. M.H. Lee, Phys. Rev. Lett. 51 (1983) 1227.
20. L. Fonda, G.C. Ghirardi, A. Rimini, Rep. Prog. Phys. 41 (1978) 587.
21. A. Mazza, P. Grigolini, Phys. Lett. A 238 (1998) 169.
22. A.O. Caldeira, A.J. Leggett, Physica A 121 (1983) 587.
23. M.B. Mensky, Phys. Lett. A 231 (1997).
24. G.C. Ghirardi, P. Pearle, A. Rimini, Phys. Rev. A 42 (1990) 78.
25. A.O. Caldeira, A.J. Leggett, Ann. Phys. 149 (1983) 374.
26. K. Lindenberg, B.J. West, Phys. Rev. A 30 (1984) 568.
27. B.L. Hu, J.P. Paz, Y. Zhang, Phys. Rev. D 45 (1992) 2843.
28. H. Grabert, P. Schramm, G.-L. Ingold, Phys. Rep. 168 (1988) 115.
29. M. Patriarca, Nuovo Cim. B 111 (1996) 61.
30. P. Grigolini, Adv. Chem. Phys. 62 (1985) 1.
31. E.T. Jaynes, Phys. Rev. 106 (1957) 620; Phys. Rev. 108 (1957) 171.
32. E.T. Jaynes, Phys. Rev. 106 (1957) 620; Phys. Rev. 108 (1957) 171.
33. R.R. Puri, S.V. Lawande, Phys. Lett. A 62 (1977) 143.
34. L. Diosi, Physica A 199 (1993) 517.
35. W.J. Munro, C.W. Gardiner, Phys. Rev A 53 (1996) 2633.
36. W.T. Strunz, Phys. Lett. A 224 (1996) 25.
37. L. Diosi, N. Gisin, W.T. Strunz, Phys. Rev. A 58 (1998) 1699.
38. H.P. Breuer, B. Kappler, F. Petruccione, quant-ph/9806026.
39. M.W. Jack, M.J. Collett, D.F. Walls, quant-ph/9807028.
40. G. Lindblad, Commun. Math. Phys. 48 (1976) 119.
41. P. Grigolini, A. Rocco, B.J. West, cond-mat/9809075.
42. L. Bonci, P. Grigolini, G. Morabito, L. Tessieri, D. Vitali, Phys. Lett. A 209 (1995) 129.
43. W.H. Zurek, J.P. Paz, Phys. Rev. Lett. 72 (1994) 2508.
44. W.H. Zurek, Phys. Today 44 (10) (1984) 87.
45. V. Giovannetti, P. Grigolini, G. Tesi, D. Vitali, Phys. Lett. A 224 (1996) 31.
46. M. Bianucci, R. Mannella, B.J. West, P. Grigolini, Phys. Rev. E 51, (1995) 3002.
47. Wm.G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991).
48. M. Srednicki, Phys. Rev. E 50 (1994) 888.
49. V.V. Flambaun, F.M. Izrailev, Phys. Rev. E 56 (1997) 5144.