On the consistent histories approach to quantum mechanics

Journal of Statistical Physics

Volumn 82, Issue 5-6, 1996, Pages 1575-1646

  Dowker, Fay ^a,b   Kent, Adrian ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b ISAAC NEWTON INSTITUTE FOR MATHEMATICAL SCIENCES   (United Kingdom)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Consistent histories; Decoherence; Quantum cosmology; Quantum mechanics

Indexed keywords

EID: 0030550741     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183396     Document Type: Review

References (63)

1. R. B. Griffiths, J. Stat. Phys. 36:219 (1984).
2. R. B. Griffiths, Found. Phys. 23:1601 (1993).
3. R. Omnès, J. Stat. Phys. 53:893, 933, 957 (1988); 57:357 (1989).
4. R. Omnès, J. Stat. Phys. 53:893, 933, 957 (1988); 57:357 (1989).
5. R. Omnès, Rev. Mod. Phys. 64:339 (1992).
6. M. Gell-Mann and J. B. Hartle, In Complexity, Entropy, and the Physics of Information, W. Zurek, ed. (Addison-Wesley. Reading, Massachusetts, 1990).
7. M. Gell-Mann and J. B. Hartle, In Proceedings of the 3rd International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology, S. Kobayashi, H. Ezawa, Y. Murayama, and S. Nomura, eds. (Physical Society of Japan, Tokyo, 1990).
8. M. Gell-Mann and J. B. Hartle, In Proceedings of the 25th International Conference on High Energy Physics, Singapore, August 2-8, 1990, K. K. Phua and Y. Yamaguchi, eds. (South East Asia Theoretical Physics Association and Physical Society of Japan, distributed by World Scientific, Singapore, 1990).
9. M. Gell-Mann and J. B. Hartle, In Proceedings of the NATO Workshop on the Physical Origins of Time Asymmetry, Mazagón, Spain, September 30-October 4, 1991, J. Halliwell, J. Pérez-Mercader, and W. Zurek, eds. (Cambridge University Press, Cambridge, 1994).
10. M. Gell-Mann and J. B. Hartle, Phys. Rev. D 47:3345 (1993).
11. F. Dowker and A. Kent, Phys. Rev. Lett. 75:3038 (1995).
12. B. DeWitt and R. N. Graham, eds., The Many Worlds Interpretation of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1973).
13. J. S. Bell, The measurement theory of Everett and de Broglie's pilot wave, in Quantum Mechanics, Determinism, Causality and Particles, M. Flato et al., eds. (Reidel, Dordrecht, 1976); reprinted in J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987).
14. J. S. Bell, The measurement theory of Everett and de Broglie's pilot wave, in Quantum Mechanics, Determinism, Causality and Particles, M. Flato et al., eds. (Reidel, Dordrecht, 1976); reprinted in J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987).
15. H. Stein, Noûs 18:635 (1984).
16. A. Kent, Int. J. Mod. Phys. A 5:1745 (1990).
17. J. S. Bell, Quantum mechanics for cosmologists, in Quantum Gravity 2, C. Isham, R. Penrose, and D. Sciama, eds. (Clarendon Press, Oxford, 1981), pp. 611-637.
18. J. B. Hartle, In Quantum Cosmology and Baby Universes, S. Coleman, J. Hartle, T. Piran, and S. Weinberg, eds. (World Scientific, Singapore, 1991).
19. B. d'Espagnat, J. Stat. Phys. 56:747 (1989).
20. W. Zurek, Prog. Theor. Phys. 89:281 (1993).
21. D. Dürr, S. Goldstein, and N. Zanghi, J. Stat. Phys. 67:843 (1992).
22. A. Albrecht, Phys. Rev. D 46:5504 (1992); 48: 3768 (1993).
23. A. Albrecht, Phys. Rev. D 46:5504 (1992); 48: 3768 (1993).
24. J. Paz and W. Zurek, Phys. Rev. D 48:2728 (1993).
25. D. Bohm, Phys. Rev. 85:166 (1952).
26. T. M. Samols, A stochastic model of a quantum field theory, Cambridge preprint DAMTP/94-39; J. Stat. Phys. to appear.
27. J. Cushing, A. Fine, and S. Goldstein, eds., Bohmian Mechanics and Quantum Theory: An Appraisal (Kluwer, Dordrecht, to be published).
28. Y. Aharonov, P. Bergmann, and J. Lebovitz, Phys. Rev. B 134:1410 (1964).
29. J. B. Hartle, Phys. Rev. D 44:3173 (1991).
30. C. J. Isham, In Integrable Systems, Quantum Groups and Quantum Field Theories, L. A. Ibort and M. A. Rodriguez (eds.) (Kluwer, London, 1993): C. J. Isham, J. Math. Phys. 23:2157 (1994); C. J. Isham and N. Linden, J. Math. Phys. 35:5452 (1994).
31. C. J. Isham, In Integrable Systems, Quantum Groups and Quantum Field Theories, L. A. Ibort and M. A. Rodriguez (eds.) (Kluwer, London, 1993): C. J. Isham, J. Math. Phys. 23:2157 (1994); C. J. Isham and N. Linden, J. Math. Phys. 35:5452 (1994).
32. C. J. Isham, In Integrable Systems, Quantum Groups and Quantum Field Theories, L. A. Ibort and M. A. Rodriguez (eds.) (Kluwer, London, 1993): C. J. Isham, J. Math. Phys. 23:2157 (1994); C. J. Isham and N. Linden, J. Math. Phys. 35:5452 (1994).
33. M. Gell-Mann and J. B. Hartle, Equivalent sets of histories and multiple quasiclassical domains, Preprint UCSBTH-94-09, gr-qc/9404013, submitted to gr-qc 8 April 1994.
34. S. Goldstein and D. Page, Phys. Rev. Lett. 74:3715 (1995).
35. J. S. Bell, Physics 1:195 (1964); Rev. Mod. Phys. 38:447 (1966).
36. J. S. Bell, Physics 1:195 (1964); Rev. Mod. Phys. 38:447 (1966).
37. D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1951), Chapter 22.
38. E. Joos and H. D. Zeh, Z. Phys. B 59:2 (1985).
39. W. Zurek, Phys. Rev. D 24:1516 (1981); 26:1862 (1982).
40. W. Zurek, Phys. Rev. D 24:1516 (1981); 26:1862 (1982).
41. A. Caldeira and A. Leggett, Physica 121A;587 (1983).
42. J. McElwaine, Approximate and exact consistency of histories, University of Cambridge preprint DAMTP/95-32, grant-ph/9506034, Submitted to Phys. Rev. A.
43. P. H. Gosse, Omphalos: An Attempt to Untie the Geological Knot (1857).
44. R. Omnès, Private communication.
45. R. Griffiths, Private communication.
46. S. Saunders, The quantum block universe, Harvard Department of Philosophy preprint (1992); Decoherence, relative states, and evolutionary adaptation, Harvard Department of Philosophy preprint (1993).
47. S. Saunders, The quantum block universe, Harvard Department of Philosophy preprint (1992); Decoherence, relative states, and evolutionary adaptation, Harvard Department of Philosophy preprint (1993).
48. H. Everett, Rev. Mod. Phys. 29:454 (1957).
49. M. Gell-Mann and J. B. Hartle, Equivalent sets of histories and multiple quasiclassical domains, preprint UCSBTH-94-09, revised version as of 26 April 1995.
50. M. Gell-Mann, The Quark and the Jaguar (Little, Brown and Co., London, 1994).
51. J. B. Hartle, Private communication.
52. A. Whitaker, Einstein, Bohr and the quantum world, to be published.
53. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1955).
54. E. P. Wigner, Remarks on the mind-body question, in The Scientist Speculates, I. J. Good ed. (Heinemann, London, 1961). pp. 284-302.
55. R. Penrose, The nature of space and time, Isaac Newton Institute debate with S. W. Hawking (May 1994).
56. D. Page, Phys. Rev. Lett. 70:4034 (1993).
57. S. Goldstein, Private communication.
58. R. D. Sorkin, Quantum mechanics as quantum measure theory, Syracuse preprint SU-GP-93-12-1, gr-qc/9401003.
59. G. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34:470 (1986).
60. R. Omnès, Phys. Lett. A 187:26 (1994).
61. N. Gisin, Helv. Phys. Act. 62:363 (1989).
62. I. Percival, Proc. Roy. Soc. Lond. Ser. A 447:189 (1994).
63. R. Penrose, Shadows of the Mind (Oxford University Press, Oxford, 1994).