Modal interpretations, decoherence and measurements

Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics

Volumn 27, Issue 3, 1996, Pages 239-277

  Bacciagaluppi, Guido ^a   Hemmo, Meir ^b  

^a BALLIOL COLLEGE   (United Kingdom)

^b NONE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030240268     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/S1355-2198(96)00002-0     Document Type: Article

References (100)

1. Albert, D. (1992) Quantum Mechanics and Experience (Cambridge, MA: Harvard University Press).
2. Albert, D. (1994) Private communication, October 1994.
3. Albert, D. and Loewer, B. (1990) 'Wanted Dead or Alive: Two Attempts to Solve Schrödinger's Paradox', in A. Fine, M. Forbes and L. Wessels (eds), Proceedings of the 1990 Biennial Meeting of the Philosophy of Science Association, Vol. 1 (East Lansing: Philosophy of Science Association), pp. 277-285.
4. Albert, D. and Loewer, B. (1991) 'Some Alleged Solutions to the Measurement Problem', Synthese 86, 87-98.
5. Albert, D. and Loewer, B. (1993) 'Non-Ideal Measurements', Foundations of Physics Letters 6, 297-305.
6. Albert, D. and Loewer, B. (1996) 'Tails of Schrödinger's Cat', in R. Clifton (ed.), Perspectives on Quantum Reality (Dordrecht: Kluwer Academic), pp. 81-92.
7. Albrecht, A. (1992) 'Investigating Decoherence in a Simple System', Physical Review D46, 5504-5520.
8. Araki, H. and Yanase, M. (1960) 'Measurement of Quantum Mechanical Operators', Physical Review 120, 622-626.
9. Arntzenius, F. (1990) 'Kochen's Interpretation of Quantum Mechanics', in A. Fine, M. Forbes and L. Wessels (eds), Proceedings of the 1990 Biennial Meeting of the Philosophy of Science Association, Vol. 1 (East Lansing: Philosophy of Science Association), pp. 241-249.
10. Bacciagaluppi, G. (1995) 'Kochen-Specker Theorem in the Modal Interpretation of Quantum Mechanics', International Journal of Theoretical Physics 34, 1206-1215.
11. Bacciagaluppi, G. (1996) 'Delocalised Properties in the Modal Interpretation of a Continuous Model of Decoherence', preprint.
12. Bacciagaluppi, G. and Dickson, M. (1996) 'Modal Interpretations with Dynamics', in preparation.
13. Bacciagaluppi, G., Donald, M. J. and Vermaas, P. E. (1995) 'Continuity and Discontinuity of Definite Properties in the Modal Interpretation', Helvetica Physica Acta 68, 679-704.
14. Bacciagaluppi, G., Elby, A. and Hemmo, M. (1996) 'Measurement Problem and Observer Beliefs in the Modal Interpretation of Quantum Mechanics', submitted to British Journal for the Philosophy of Science.
15. Bacciagaluppi, G. and Hemmo, M. (1994) 'Making Sense of Approximate Decoherence', in D. Hull, M. Forbes and R. Burian (eds), Proceedings of the 1994 Biennial Meeting of the Philosophy of Science Association, Vol. 1 (East Lansing: Philosophy of Science Association), pp. 345-354.
16. Bacciagaluppi, G. and Hemmo, M. (1996) 'State Preparation in the Modal Interpretation', Minnesota Studies in the Philosophy of Science, forthcoming.
17. Bell, J. S. (1976) 'The Measurement Theory of Everett and de Broglie's Pilot Wave', in J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge: Cambridge University Press, 1987), pp. 93-99.
18. Bohm, D. (1951) Quantum Theory (Englewood Cliffs, NJ: Prentice-Hall).
19. Brown, H. (1993) Private communication, September 1993.
20. Bub, J. (1992) 'Quantum Mechanics Without the Projection Postulate', Foundations of Physics 22, 737-754.
21. Bub, J. (1993) 'Measurement: It Ain't Over Till It's Over', Foundations of Physics Letters 6, 21-35.
22. Bub, J. (1994a) 'On the Structure of Quantal Proposition Systems', Foundations of Physics 24, 1261-1279.
23. Bub, J. (1994b) 'How to Interpret Quantum Mechanics', Erkenntnis 41, 253-273.
24. Bub, J. (1995) 'Schrödinger's Cat and Other Entanglements of Quantum Mechanics', forthcoming in J. Earman (ed.), Serious Philosophy and History of Science (Pittsburgh: University of Pittsburgh Press, and Konstanz: Universitäts-Verlag Konstanz).
25. Bub, J. and Clifton, R. (1996) 'A Uniqueness Theorem for "No Collapse" Interpretations of Quantum Mechanics', Studies in History and Philosophy of Modern Physics 27, 181-219.
26. Busch, P., Grabowski, M. and Lahti, P. (1995) Operational Quantum Physics. Lecture Notes in Physics (Berlin: Springer).
27. Caldeira, A. O. and Leggett, A. J. (1983) 'Path Integral Approach to Quantum Brownian Motion', Physica 121A, 587-616.
28. Cartwright, N. (1994) Private communication, May 1994.
29. Cattaneo, G., Marisco, T., Nistico, G. and Bacciagaluppi, G. (1996) 'A Concrete Procedure for Obtaining Sharp Reconstructions of Unsharp Observables in Finite Dimensional Quantum Mechanics', preprint.
30. Clifton, R. (1995a) 'Independently Motivating the Kochen-Dieks Modal Interpretation of Quantum Mechanics', British Journal for the Philosophy of Science 46, 33-57.
31. Clifton, R. (1995b) 'Making Sense of the Kochen-Dieks "No-Collapse" Interpretation of Quantum Mechanics Independent of the Measurement Problem', in D. Greenberger and A. Zeilinger (eds), Fundamental Problems in Quantum Theory, Annals of the New York Academy of Science, Vol. 755, pp. 570-578.
32. Clifton, R. (1995c) 'Why Modal Interpretations of Quantum Mechanics Must Abandon Classical Reasoning About the Values of Observables', International Journal of Theoretical Physics 34, 1303-1312.
33. Clifton, R. (1995d) 'The Irrelevance of the Triorthogonal Uniqueness Theorem to Modal Interpretations of Quantum Mechanics', in K. V. Laurikainen et al. (eds), Symposium on the Foundations of Modern Physics 1994-70 Years of Matter Waves (Paris: Editions Frontières), pp. 45-60.
34. Clifton, R. (1996) 'The Properties of Modal Interpretations of Quantum Mechanics', forthcoming in The British Journal for the Philosophy of Science.
35. Dickson, M. (1994) 'Wavefunction Tails in the Modal Interpretation', in D. Hull, M. Forbes and R. Burian (eds), Proceedings of the 1994 Biennial Meeting of the Philosophy of Science Association, Vol. 1 (East Lansing: Philosophy of Science Association), pp. 366-376.
36. Dickson, M. (1995) 'Is There Really No Projection Postulate in the Modal Interpretation?', British Journal for the Philosophy of Science 46, 197-218.
37. Dieks, D. (1988) 'The Formalism of Quantum Theory: An Objective Description of Reality?', Annalen der Physik 7, 174-190.
38. Dieks, D. (1989) 'Resolution of the Measurement Problem Through Decoherence of the Quantum State', Physics Letters A142, 439-446.
39. Dieks, D. (1994a) 'Objectification, Measurement and Classical Limit According to the Modal Interpretation of Quantum Mechanics', in P. Busch, P. Lahti and P. Mittelstaedt (eds), Proceedings of the Symposium on the Foundations of Modern Physics (Singapore: World Scientific), pp. 160-167.
40. Dieks, D. (1994b) 'The Modal Interpretation of Quantum Mechanics, Measurement and Macroscopic Behaviour', Physical Review D49, 2290-2300.
41. Dieks, D. (1994c) Private communication, June 1994.
42. Dieks, D. (1995) 'Physical Motivation of the Modal Interpretation of Quantum Mechanics', Physics Letters A197, 367-371.
43. Dieks, D. (1996) 'Preferred Factorizations and Consistent Property Attribution', Minnesota Studies in the Philosophy of Science, forthcoming.
44. Donald, M. J. (1995) Private communication, April 1995.
45. Donald, M. J. (1996) 'Discontinuity and Continuity of Definite Properties in the Modal Interpretation', forthcoming in D. Dieks and P. E. Vermaas (eds), The Modal Interpretation of Quantum Mechanics (Dordrecht: Kluwer Academic).
46. Dowker, F. and Kent, A. (1996) 'On the Consistent Histories Approach to Quantum Mechanics', Journal of Statistical Physics 82,1575-1646.
47. Elby, A. (1993) 'Why "Modal" Interpretations Don't Solve the Measurement Problem', Foundations of Physics Letters 6, 5-19.
48. Elby, A. (1994) 'The "Decoherence" Approach to the Measurement Problem in Quantum Mechanics', in D. Hull, M. Forbes and R. Burian (eds), Proceedings of the 1994 Biennial Meeting of the Philosophy of Science Association, Vol. 1 (East Lansing: Philosophy of Science Association), pp. 355-365.
49. Elby, A. and Bub, J. (1994), 'Triorthogonal Uniqueness Theorem and its Relevance to the Interpretation of Quantum Mechanics', Physical Review A49, 4213-4216.
50. Espagnat, B. d' (1976) Conceptual Foundations of Quantum Mechanics, 2nd edition (Reading, MA: Benjamin).
51. Fraassen, B. C. van (1973) 'Semantic Analysis of Quantum Logic', in C. A. Hooker (ed.), Contemporary Research in the Foundations and Philosophy of Quantum Theory (Dordrecht and Boston: Reidel), pp. 180-213.
52. Fraassen, B. C. van (1981) 'A Modal Interpretation of Quantum Mechanics', in E. Beltrametti and B. C. van Fraassen (eds), Current Issues in Quantum Logic (New York: Plenum), pp. 229-258.
53. Fraassen, B. C. van(1991) Quantum Mechanics: An Empiricist View (Oxford: Clarendon Press).
54. Gell-Mann, M. and Hartle, J. B. (1990) 'Quantum Mechanics in the Light of Quantum Cosmolosgy', in W. H. Zurek (ed.), Complexity, Entropy and the Physics of Information, SFI Studies in the Science of Complexity, Vol. VIII (Reading, MA: Addison-Wesley), pp. 425-458.
55. Gell-Mann, M. and Hartle, J. B. (1993) 'Classical Equations for Quantum Systems', Physical Review D47, 3345-3382.
56. Ghirardi, G. C., Rimini, A. and Weber, T. (1986) 'Unified Dynamics for Microscopic and Macroscopic Systems', Physical Review D34, 470-479.
57. Ghirardi, G. C., Grassi, R. and Benatti, F. (1995) 'Describing the Macroscopic World: Closing the Circle within the Dynamical Reduction Program', Foundations of Physics 25, 5-38.
58. Griffiths, R. (1984) 'Consistent Histories and the Interpretation of Quantum Mechanics', Journal of Statistical Physics 36, 219-272.
59. Hartle, J. B. (1989) 'The Quantum Mechanics of Cosmology', lectures delivered at the Winter School on Quantum Cosmology and Baby Universes, University of Jerusalem, 27 December-4 January 1989.
60. Healey, R. (1989) The Philosophy of Quantum Mechanics: An Interactive Interpretation (Cambridge: Cambridge University Press).
61. Healey, R. (1993) 'Why Error-Prone Quantum Measurements Have Outcomes', Foundations of Physics Letters 6, 37-54.
62. Healey, R. (1996a) 'Dissipating the Quantum Measurement Problem', Topoi, forthcoming.
63. Healey, R. (1996b) '"Modal" Interpretations, Decoherence and the Quantum Measurement Problem', Minnesota Studies in the Philosophy of Science, forthcoming.
64. Hemmo, M. (1996a) Doctoral Thesis, University of Cambridge.
65. Hemmo, M. (1996b) 'Possible Worlds in the Modal Interpretation', forthcomig in Proceedings of the 1996 Biennial Meeting of the Philosophy of Science Association (East Lansing: Philosophy of Science Association).
66. Hemmo, M. and Bacciagaluppi, G. (1995) 'Many Worlds are Possible in Quantum Theory', in preparation.
67. Jauch, J. (1968) Foundations of Quantum Mechanics (Reading, MA: Addison-Wesley).
68. Joos, E. and Zeh, H. D. (1985) 'The Emergence of Classical Properties Through Interaction with the Environment', Zeitschrift für Physik B59, 223-243.
69. Kent, A. (1995) 'A Note on Schmidt States and Consistency', Physics Letters A196, 313-317.
70. Kochen, S. (1985) 'A New Interpretation of Quantum Mechanics', in P. Lahti and P. Mittelstaedt (eds), Symposium on the Foundations of Modern Physics (Singapore: World Scientific), pp. 151-169.
71. Kochen, S. and Specker, E. P. (1967) 'On the problem of Hidden Variables in Quantum Mechanics', Journal of Mathematics and Mechanics 17, 59-87.
72. Krips, H. (1987) The Metaphysics of Quantum Theory (Oxford: Clarendon Press).
73. Maudlin, T. (1994) 'The Unbuttoned Empiricist: Van Fraassen Speculates About the Quantum World', Philosophical Books 35, 94-101.
74. Neumann, J. von (1932) Mathematische Grundlagen der Quantenmechanik (Berlin: Springer), R. Beyer (trans.) (Princeton: Princeton University Press, 1955).
75. Omnès, R. (1988) 'Logical Reformulations of Quantum Mechanics: I. Foundations', Review of Modern Physics 53, 893-932; 'II. Inferences and the Einstein-Podolsky-Rosen Experiment', ibid., 933-955; 'III. Classical Limit and Irreversibility', ibid., 957-975; (1989) 'IV. Projectors in Semi-Classical Physics', ibid. 57, 357-382.
76. Omnès, R. (1988) 'Logical Reformulations of Quantum Mechanics: I. Foundations', Review of Modern Physics 53, 893-932; 'II. Inferences and the Einstein-Podolsky-Rosen Experiment', ibid., 933-955; 'III. Classical Limit and Irreversibility', ibid., 957-975; (1989) 'IV. Projectors in Semi-Classical Physics', ibid. 57, 357-382.
77. Omnès, R. (1988) 'Logical Reformulations of Quantum Mechanics: I. Foundations', Review of Modern Physics 53, 893-932; 'II. Inferences and the Einstein-Podolsky-Rosen Experiment', ibid., 933-955; 'III. Classical Limit and Irreversibility', ibid., 957-975; (1989) 'IV. Projectors in Semi-Classical Physics', ibid. 57, 357-382.
78. Omnès, R. (1988) 'Logical Reformulations of Quantum Mechanics: I. Foundations', Review of Modern Physics 53, 893-932; 'II. Inferences and the Einstein-Podolsky-Rosen Experiment', ibid., 933-955; 'III. Classical Limit and Irreversibility', ibid., 957-975; (1989) 'IV. Projectors in Semi-Classical Physics', ibid. 57, 357-382.
79. Paz, J. P. and Zurek, W. H. (1993) 'Environment-Induced Decoherence, Classicality, and Consistency of Quantum Histories', Physical Review D48, 2728-2738.
80. Primas, H. (1994) Private communication, December 1994.
81. Ruetsche, L. (1995) 'Measurement Error and the Albert-Loewer Problem', Foundations of Physics Letters 8, 327-344.
82. Saunders, S. (1993) 'Decoherence, Relative States, and Evolutionary Adaptation', Foundations of Physics 23, 1553-1585.
83. Schmidt, E. (1907) 'Die Theorie der linearen und nichtlinearen Integralgleichungen. I. Teil: Entwicklung willkürlicher Funktionen nach Systemen vorgeschriebener', Mathematische Annalen 63, 433-476.
84. Simon, B. (1973) 'Convergence Theorems for Entropy', Journal of Mathematical Physics 14, 1940-1941.
85. Unruh, W. G. (1995) Private communication, May 1995:
86. Unruh, W. G. and Zurek, W. H. (1989) 'Reduction of a Wave Packet in Quantum Brownian Motion', Physical Review D40, 1071-1094.
87. Vermaas, P. E. (1996a) 'Unique Transition Probabilities in the Modal Interpretation', Studies in History and Philosophy of Modern Physics 27, 133-159.
88. Vermaas, P. E. (1996b) 'Expanding the Property Ascriptions in the Modal Interpretation of Quantum Theory', Minnesota Studies in the Philosophy of Science, forthcoming.
89. Vermaas, P. E. (1996c) 'A No-Go Theorem for Joint Property Ascriptions in the Modal Interpretation of Quantum Mechanics', preprint, University of Utrecht.
90. Vermaas, P. E. and Dieks, D. (1995) 'The Modal Interpretation of Quantum Mechanics and Its Generalization to Density Operators', Foundations of Physics 25, 145-158.
91. Wigner, E. P. (1952) 'Die Messung quantenmechanischer Operatoren', Zeitschrift für Physik 133, 101-108.
92. Zeh, H. D. (1970) 'On the Interpretation of Measurement in Quantum Theory', Foundations of Physics 1, 69-76.
93. Zeh, H. D. (1973) 'Toward a Quantum Theory of Observation', Foundations of Physics 3, 109-116.
94. Zurek, W. H. (1981) 'Pointer Basis of Quantum Apparatus: Into What Mixture Does the Wave Packet Collapse?', Physical Review D24, 1516-1525.
95. Zurek, W. H. (1982) 'Environment-Induced Superselection Rules', Physical Review D26, 1862-1880.
96. Zurek, W. H. (1991) 'Decoherence and the Transition from Quantum to Classical', Physics Today 44, 36-44.
97. Zurek, W. H. (1993a) 'Preferred States, Predictability, Classicality, and the Environment-Induced Decoherence', Progress in Theoretical Physics 89, 281-312.
98. Zurek, W. H. (1993b) 'Reply to Criticism', Physics Today 46, 84-90.
99. Zurek, W. H., Habib, S. and Paz, J. P. (1993) 'Coherent States via Decoherence', Physical Review Letters 70, 1187-1190.
100. Zurek, W. H. and Paz, J. P. (1993) 'Decoherence, Chaos, the Quantum and the Classical', in P. Busch, P. Lahti, and P. Mittelstaedt (eds), Proceedings of the Symposium on the Foundations of Modern Physics (Singapore: World Scientific), pp. 458-472.