Chaos in Bohmian quantum mechanics

Journal of Physics A: Mathematical and General

Volumn 39, Issue 8, 2006, Pages 1819-1852

  Efthymiopoulos, C ^a   Contopoulos, G ^a  

^a BIOMEDICAL RESEARCH FOUNDATION   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32344447082     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/8/004     Document Type: Article

References (65)

1. Aspect A, Delibard J and Roger G 1982 Phys. Rev. Lett. 49 1804
2. Bell J S 1965 Phys. (NY) 1 195
3. Bell J S 1976 Epistemol. Lett. 9 11
4. Bell J S 1987 Speakable and Unspeakable in Quantum Mechanics (Cambridge: Cambridge University Press) p 173
5. Benettin G, Galgani L and Strelcyn J M 1976 Phys. Rev. A 14 2338
6. Berry M V 1979 Topics in Nonlinear Dynamics (AIP Conf. Proc. vol 46) ed S Jorna (New York: American Institute of Physics)
7. Berman G P and Zaslavsky G M 1978 Physica A 91 450
8. Bohm D 1952a Phys. Rev. 85 166
9. Bohm D 1952b Phys. Rev. 85 180
10. Bohm D 1953 Phys. Rev. 89 458
11. Bohm D and Hiley B J 1993 The Undivided Universe (London: Routhledge)
12. Bohm D and Vigier J P 1954 Phys. Rev. 26 208
13. Bowman G E 2002 Phys. Lett. A 298 7
14. Contopoulos G 1960 Z. Astrophys. 49 273
15. Contopoulos G 1966 J. Math. Phys. 7 788
16. Contopoulos G 2004 Order and Chaos in Dynamical Astronomy (Berlin: Springer)
17. de Broglie L 1926a C. R. Acad. Sci., Paris 183 447
18. de Broglie L 1926b Nature 118 441
19. de Broglie L 1927a C. R. Acad. Sci., Paris 184 283
20. de Broglie L 1927b C. R. Acad. Sci., Paris 185 380
21. de Broglie L 1927c J. Phys. 8 225
22. de Polavieja G G 1996 Phys. Rev. A 53 2059
23. de Sales J A and Florencio J 2003 Phys. Rev. E 67 016216
24. Dewdney C 1992 J. Phys. A: Math. Gen. 25 3615
25. Dewdney C and Malik Z 1993 Phys. Rev. A 48 3513
26. Dewdney C and Malik Z 1996 Phys. Lett. A 220 183
27. Dürr D, Goldstein S and Zanghi N 1992a J. Stat. Phys. 68 259
28. Dürr D, Goldstein S and Zanghi N 1992b Phys. Lett. A 172 6
29. Efthymiopoulos C, Contopoulos G, Dvorak R and Voglis N 1997 J. Phys. A: Math. Gen. 30 8167
30. Faisal F H M and Schwengelbeck U 1995 Phys. Lett. A 207 31
31. Feit M D and Fleck J A 1984 J. Chem. Phys. 80 2578
32. Feit M D, Fleck J A and Steiger A 1982 J. Comput. Phys. 47 412
33. Falsaperla P and Fonte G 2003 Phys. Lett. A 316 382
34. Founargiotakis M, Farantos S C, Contopoulos G and Polymilis C 1989 J. Chem. Phys. 91 1389
35. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer)
36. Holland P 1993 The Quantum Theory of Motion (Cambridge: Cambridge University Press)
37. Holland P 2005 Ann. Phys. 315 505
38. Holland P and Philippidis C 2003 Phys. Rev. A 67 062105
39. Iacomelli G and Pettini M 1996 Phys. Lett. A 212 29
40. Jammer M 1974 The Philosophy of Quantum Mechanics (New York: Wiley) p 265
41. Keller J B 1953 Phys. Rev. 89 1040
42. Kochen S and Specker E P 1967 J. Math. Mech. 17 59
43. Kollman M and Capel H W 1997 Physica A 247 379
44. Kosloff R and Rice S A 1981 J. Chem. Phys. 74 1340
45. Madelung E 1926 Z. Phys. 40 332
46. Makowski A J, Peploswski P and Dembinski S T 2000 Phys. Lett. A 266 241
47. Manz J 1989 J. Chem. Phys. 91 2190
48. Meiss J D 1992 Rev. Mod. Phys. 64 795
49. Nekhoroshev N N 1977 Russ. Math. Surveys 32 1
50. Oriols X, Martin F and Suné J 1996 Phys. Rev. A 54 2594
51. Parmenter R H and Valentine R W 1995 Phys. Lett. A 201 1
52. Parmenter R H and Valentine R W 1997 Phys. Lett. A 227 5
53. Passon O 2005 Preprint quant-ph/0412119v2
54. Pauli W 1928 Proc. Solvay Congress (Paris: Gauthier-Villars)
55. Pauli W 1953 Louis de Broglie. Physicien et Penseur ed G André (Paris: Editions Albin Michel)
56. Philippidis C, Dewdney C and Hiley B J 1979 Nuovo Cimento B 52 15
57. Robnik M 1986 Atomic Spectra and Collisions in External Fielfs ed K T Taylor, M H Nayhef and C N Clark (New York: Plenum) pp 251-74
58. Schwengelbeck U and Faisal F H M 1995 Phys. Lett. A 199 281
59. Sengupta S and Chattaraj P K 1996 Phys. Lett. A 215 119
60. Skodje R T, Rohrs H W and VanBuskirk J 1989 Phys. Rev. A 40 2894
61. Valentini A 1991 Phys. Lett. A 156 5
62. Valentini A and Westman H 2005 Proc. R. Soc. A 461 253
63. Voglis N, Contopoulos G and Efthymiopoulos C 1998 Phys. Rev. E 57 372
64. Wisniacki D A, Borondo F and Benito R M 2003 Europhys. Lett. 64 441
65. Wu H and Sprung D W I 1999 Phys. Lett. A 261 150