On the consistent effect histories approach to quantum mechanics

Journal of Mathematical Physics

Volumn 37, Issue 11, 1996, Pages 5368-5379

  Rudolph, Oliver ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030486758     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531709     Document Type: Article

References (55)

1. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University, Cambridge, 1987).
2. D. Bohm, B. J. Hiley, and P. N. Kaloyerou, Phys. Rep. 144, 321 (1987).
3. R. Giuntini, Quantum Logic and Hidden Variables (Bibliographisches Institut & F. A. Brockhaus AG, Mannheim, 1991).
4. G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986).
5. P. Pearle, Phys. Rev. D 33, 2240 (1986).
6. P. Pearle, Phys. Rev. A 39, 2277 (1989).
7. N. Gisin, Helv. Phys. Acta 62, 363 (1989).
8. A. Nakano and P. Pearle, Found. Phys. 24, 363 (1994).
9. R. B. Griffiths, J. Stat. Phys. 36, 219 (1984).
10. R. B. Griffiths, Found. Phys. 23, 1601 (1993).
11. R. B. Griffiths, "A Consistent History Approach to the Logic of Quantum Mechanics," to appear in the Proceedings of the Symposium on the Foundations of Modern Physics 1994 Helsinki, Finland (1994).
12. R. B. Griffiths, "Consistent Quantum Reasoning," preprint (1995).
13. R. Omnès, J. Stat. Phys. 53, 893 (1988).
14. R. Omnès, J. Stat. Phys. 53, 933 (1988).
15. R. Omnès, J. Stat. Phys. 53, 957 (1988).
16. R. Omnès, J. Stat. Phys. 57, 357 (1989).
17. R. Omnès, Ann. Phys. NY 201, 354 (1990).
18. R. Omnès, Rev. Mod. Phys. 64, 339 (1992).
19. R. Omnès, The Interpretation of Quantum Mechanics (Princeton University, Princeton, NJ, 1994).
20. R. Omnès, Found. Phys. 25, 605 (1995).
21. C. J. Isham, J. Math. Phys. 35, 2157 (1994).
22. C. J. Isham and N. Linden, J. Math. Phys. 35, 5452 (1994).
23. C. J. Isham and N. Linden, J. Math. Phys. 36, 5392 (1995).
24. C. J. Isham, N. Linden, and S. Schreckenberg, J. Math. Phys. 35, 6360 (1994).
25. M. Gell-Mann and J. B. Hartle, in Proceedings of the 25th International Conference on High Energy Physics, Singapore, August 2-8, 1990, edited by K. K. Phua and Y. Yamaguchi (World Scientific, Singapore, 1990), p. 1303. M. Gell-Mann and J. B. Hartle, in Proceedings of the Third International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology, edited by S. Kobayashi, H. Ezawa, Y. Murayama, and S. Nomura (Physical Society of Japan, Tokyo, 1990), p. 321.
26. M. Gell-Mann and J. B. Hartle, in Proceedings of the 25th International Conference on High Energy Physics, Singapore, August 2-8, 1990, edited by K. K. Phua and Y. Yamaguchi (World Scientific, Singapore, 1990), p. 1303. M. Gell-Mann and J. B. Hartle, in Proceedings of the Third International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology, edited by S. Kobayashi, H. Ezawa, Y. Murayama, and S. Nomura (Physical Society of Japan, Tokyo, 1990), p. 321.
27. M. Gell-Mann and J. B. Hartle, in Complexity, Entropy and the Physics of Information. Santa Fe Institute Studies in the Science of Complexity, edited by W. Zurek (Addison-Wesley, Reading, MA, 1990), Vol. VIII, p. 425.
28. M. Gell-Mann and J. B. Hartle, Phys. Rev. D 47, 3345 (1993).
29. M. Gell-Mann and J. B. Hartle, "Equivalent Sets of Histories and Multiple Quasiclassical Domains," preprint (1994).
30. M. Gell-Mann and J. B. Hartle, Strong Decoherence, preprint (1995).
31. J. B. Hartle, in Quantum Cosmology and Baby Universes: Proceedings of the 1989 Jerusalem Winter School for Theoretical Physics, edited by S. Coleman, J. B. Hartle, T. Piran and S. Weinberg (World Scientific, Singapore, 1991), p. 65.
32. J. B. Hartle, in Proceedings of the 1992 Les Houches Summer School, edited by B. Julia and J. Zinn-Justin (North Holland, Amsterdam, 1994), Vol. LVII.
33. F. Dowker and A. Kent, J. Stat. Phys. 82, 1575 (1996).
34. A. Kent, "Remarks on Consistent Histories and Bohmian Mechanics," to appear in Bohmian Mechanics and Quantum Theory: An Appraisal, edited by J. Cushing, A. Fine and S. Goldstein (Kluwer, Dordrecht, 1995).
35. A. Kent, "Consistent Sets Contradict," preprint, DAMTP/96-18 (1996).
36. H. D. Zeh, "The Program of Decoherence: Ideas and Concepts," intended as Chapter II in: D. Guilini, E. Joos, C. Kiefer, J. Kupsch, I. -O. Stamatescu and H. D. Zeh, Decoherence and the Emergence of a Classical World (Springer, Berlin, in preparation).
37. O. Rudolph, Int. J. Theor. Phys. 35 (in press 1996).
38. P. Busch, M. Grabowski, and P. J. Lahti, Found. Phys. Lett. 2, 331 (1989).
39. P. Busch, P. J. Lahti, and P. Mittelstaedt, The Quantum Theory of Measurement, Lecture Notes in Physics m2 (Springer, Berlin, 1991).
40. P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics, Lecture Notes in Physics m31 (Springer, Berlin, 1995).
41. G. Ludwig, Einführung in die Grundlagen der Theoretischen Physik, Volumes 1-4 (Vieweg, Braunschweig, 1972-79).
42. K. Kraus, States, Effects, and Operations, Lecture Notes in Physics, Vol. 190 (Springer, Berlin, 1983).
43. J. D. M. Wright, J. Math. Phys. 36, 5409 (1995).
44. L. J. Bunce and J. D. M. Wright, Bull. Am. Math. Soc. NS 26, 288 (1992).
45. L. J. Bunce and J. D. M. Wright, J. Lond. Math. Soc. 49, 133 (1994).
46. E. B. Davies, Quantum Theory of Open Systems (Academic, London, 1976).
47. D. J. Foulis and M. K. Bennett, Found. Phys. 24, 1331 (1994).
48. F. Kôpka and F. Chovanec, Math. Slovaca 44, 21 (1994).
49. F. Kôpka, Tatra Mountains Math. Publ. 1, 83 (1992).
50. A. Dvurečenskij, Trans. Am. Math. Soc. 347, 1043 (1995).
51. A. Dvurečenskij and S. Pulmannová, Int. J. Theor. Phys. 33, 819 (1994).
52. A. Dvurečenskij and S. Pulmannová, Rep. Math. Phys. 34, 151 (1994).
53. A. Dvurečenskij and S. Pulmannová, Rep. Math. Phys. 34, 251 (1994).
54. S. Pulmannová, Int. J. Theor. Phys. 34, 189 (1995).
55. H. Langer, Acta Math. Acad. Sci. Hungar. 13, 415 (1962).