Dynamical reduction models

Physics Reports

Volumn 379, Issue 5-6, 2003, Pages 257-426

  Bassi, Angelo ^a,b   Ghirardi, GianCarlo ^a,b,c  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b SEZIONE DI TRIESTE   (Italy)

^c UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Dynamical reduction; Quantum mechanics; Stochastic differential equations and processes; The measurement problem

Indexed keywords

EID: 0038239845     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(03)00103-0     Document Type: Review

References (181)

1. Shimony A. Cushing J.T. McMullin E. Philosophical Consequences of Quantum Theory: Reflections on Bell's Theorem 1989 University of Notre Dame Press Notre Dame, IN
2. J.S. Bell, Physics World, August issue (1990) 33, and in: A. Miller (Ed.), Sixty-Two Years of Uncertainity, Plenum Press, New York, 1990.
3. Einstein A. Schilpp P.A. Albert Einstein: Philosoper-Scientist 1949 Tudor Publishing Co. New York
4. Shimony A. Davies P. The New Physics 1989 Cambridge University Press Cambridge
5. Einstein A. Podolski B. Rosen N. Phys. Rev. 47 1935 777
6. Ghirardi G.C. Marinatto L. Weber T. J. Stat. Phys. 108 2002 49
7. J. von Neumann: Mathematische Grundlagen der Quantummechanik, Springer, Berlin, 1932. English translation: Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, NJ, 1955.i
8. H. Primas, in: K.V. Laurikainen, J. Viiri (Eds.), Symposium on the Foundations of Modern Physics 1990, Joensuu, Finland. Discussion sections.
9. Zurek W.H. Phys. Rev. D 24 1981 1516
10. Zurek W.H. Phys. Rev. D 26 1982 1862
11. Zurek W.H. Phys. Today 44 1991 36
12. Giulini D. Joos E. Kiefer C. Kumpsch J. Stamatescu I.-O. Zeh H.D. Decoherence and the Appearance of a Classical World in Quantum Theory 1996 Springer Berlin
13. Bassi A. Ghirardi G.C. Phys. Lett. A 275 2000 373
14. d'Espagnat B. Conceptual Foundations of Quantum Mechanics 2nd Edition 1989 Addison-Wesley Reading, MA
15. G.C. Ghirardi, in: L. Accardi (Ed.), The Interpretation of Quantum Theory: Where Do We Stand?, Istituto dell'Enciclopedia Italiana, 1994.
16. D. Bohm, Phys. Rev. 85 (1952) 166.
17. D. Bohm, Phys. Rev. (1952) 180.
18. Bohm D. Hiley B.J. Phys. Rep. 172 1989 93
19. Holland P.R. The Quantum Theory of Motion 1993 Cambridge University Press Cambridge
20. Dürr D. Goldstein S. Zanghì N. J. Stat. Phys. 67 1992 843
21. Dürr D. Goldstein S. Zanghì N. Coushing J.T. Fine A. Goldstein S. Bohmian Mechanics and Quantum Theory, an Appraisal 1996 Kluwer Academic Publishers Dordrecht
22. Daumer M. Dürr D. Goldstein S. Zanghí N. Erkenntnis 45 1997 379
23. Gleason A.M. J. Math. Mech. 6 1957 885
24. Kochen S. Specker E.P. J. Math. Mech. 17 1967 59
25. J.S. Bell, in: Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, 1987, p. 52.
26. J.S. Bell, in: Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, 1987, p. 173.
27. Deotto E. Ghirardi G.C. Found. Phys. 28 1998 1
28. Rimini A. Bricmont J. Dürr D. Gallavotti M.C. Ghirardi G.C. Petruccione F. Zanghì N. Chance in Phyics: Foundations and Perspectives 2001 Springer Berlin
29. Jauch J.M. Helv. Phys. Acta 37 1964 293
30. Daneri A. Loinger A. Prosperi G.M. Nucl. Phys. 33 1962 297
31. K. Gottfried, Quantum Mechanics, Vol I, Benjamin, New York, 1966.
32. Joos E. Zeh H.D. Z. Phys. B 59 1985 223
33. Bush P. Lathi P.J. Mittelstaedt P. The Quantum Theory of Measurement, Lectures Notes in Physics m2 1991 Springer Berlin
34. J.S. Bell, in: C.W. Kilmister (Ed.), Schrödinger: Centenary Celebration of a Polymath 1987 Cambridge University Press, Cambridge
35. J.S. Bell, also in: Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, 1987, p. 201.
36. d'Espagnat B. Found. Phys. 20 1990 1147
37. Beltrametti E. Cassinelli G. The Logic of Quantum Mechanics 1981 Addison-Wesley Reading, MA
38. van Frasen B.C. in: Toraldo di Francia G. (Ed.), Problems in the Foundations of Physics 1979 North-Holland Amsterdam
39. van Frassen B.C. in: Beltrametti E. van Frassen B.C. (Eds.), Current Issues in Quantum Logic 1981 p. 180 Plenum Press New York
40. van Frassen B.C. Quantum Mechanics: an Empiricist View 1991 Clarendon Press Oxford
41. Kochen S. in: Lathi P. Mittlelstaedt P. (Eds.), Symposium on the Foundations of Modern Physics 1985 1985 151 World Scientific Singapore
42. Dieks D. Found. Phys. 7 1988 174
43. Dieks D. Found. Phys. 19 1989 1387
44. Healey R. The Philosophy of Quantum Mechanics: an Interactive Interpretation 1989 Cambridge University Press Cambridge
45. Clifton R. Int. J. Theor. Phys. 34 1995 1303
46. Clifton R. Br. J. Phil. Sci. 46 1995 33
47. Vermaas P.E. Stud. Hist. Phil. Mod. Sci. 27 1996 133
48. Vermaas P.E. Phys. Rev. Lett. 78 1997 2033
49. Vermaas P.E. Dieks D. Found. Phys. 19 1989 145
50. Vermaas P.E. Dieks D. The Modal Interpretation of Quantum Mechanics 1998 Kluwer Academic Publishers Dordrecht
51. Bacciagluppi G. in: Dieks D. Vermaas P.E. (Eds.), The Modal Interpretation of Quantum Mechanics 1998 Kluwer Academic Publishing Dordrecht
52. Albert D. Greenberger D.M. New Techniques and Ideas in Quantum Measurement Theory 1986 New York Academy of Science New York
53. Squires E.J. Eur. J. Phys. 8 1987 171
54. D. Albert, B. Loewer, in: A. Fine, M. Forbes, L. Wessels (Eds.), Proceedings of the 1990 Biennial Meeting of the Philosophy of Science Association, Vol. 1, Philosophy of Science Association, East Leasing, 1990, p. 277.
55. Griffiths R.B. J. Stat. Phys. 36 1984 219
56. Griffiths R.B. Phys. Rev. A 54 1996 2759
57. Omnès R. J. Stat. Phys. 57 1988 893
58. Omnès R. J. Stat. Phys. 57 1988 933
59. Omnès R. J. Stat. Phys. 57 1988 956
60. Omnès R. The Interpretation of Quantum Mechanics 1994 Princeton University Press Princeton
61. Gell-Mann M. Hartle J.B. Kobayashi S. et-al. Proceedings of the Third International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology 1990 321 Physical Society of Japan Tokyo
62. Bassi A. Ghirardi G.C. Phys. Lett. A 257 1999 247
63. Bassi A. Ghirardi G.C. J. Stat. Phys. 98 2000 457
64. Griffiths R. Phys. Lett. A 265 2000 12
65. Bassi A. Ghirardi G.C. Phys. Lett. A 265 2000 153
66. Giardina I. Rimini A. Found. Phys. 26 1996 973
67. d'Espagnat B. Phys. Lett. 124 1987 204
68. d'Espagnat B. J. Stat. Phys. 56 1989 747
69. Everett III H. Rev. Mod. Phys. 29 1857 454
70. DeWitt B.S. in: d'Espagnat B. (Ed.), Foundations of Quantum Mechanics 1971 Academic Press New York
71. DeWitt D.S. Graham N. The Many-Worlds Interpretation of Quantum Mechanics 1973 Princeton University Press Princeton
72. Deutsch D. Int. J. Theor. Phys. 24 1985 1
73. Albert D. Loewer B. Synthese 77 1988 195
74. Albert D. Quantum Mechanics and Experience 1992 Harvard University Press Cambridge, MA
75. E.P. Wigner, E.J. Good (Ed.), The Scientist Speculates, Heinemann, London, 1961.
76. Ghirardi G.C. Rimini A. Weber T. Accardi L. von Wandelfels W. Quantum Probability and Applications II. Lecture Notes in Mathematics Vol. 1136 1985 Springer Berlin
77. Ghirardi G.C. Rimini A. Weber T. Phys. Rev. D 34 1986 470
78. Ghirardi G.C. Pearle P. Rimini A. Phys. Rev. A 42 1990 78
79. Ghirardi G.C. Grassi R. Pearle P. Found. Phys. 20 1990 1271
80. Ghirardi G.C. Grassi R. Benatti F. Found. Phys. 25 1995 5
81. H.P. Stapp, preprint LBL-26968.
82. G.C. Ghirardi, R. Grassi, in: Atti del Congresso Nuovi problemi della logica e della filosofia della scienza, CLUEB, Bologna, 1991.
83. Eberard P.H. Nuovo Cimento B 46 1978 392
84. Ghirardi G.C. Rimini A. Weber T. Lett. Nuovo Cimento 27 1980 293
85. Ghirardi G.C. Weber T. Nuovo Cimento B 78 1983 9
86. Shimony A. Kamefuchi S. et-al. Proceedings of the International Symposium on the Foundations of Quantum Mechanics 1983 225 Physical Society of Japan Tokio
87. Gisin N. Hel. Phys. Acta 62 1989 363
88. Bassi A. Ghirardi G.C. quant-ph 0206183 Phys. Lett. A 309 2003 4
89. Kent A. Mod. Phys. Lett. A 4 1989 1839
90. Davies E.B. Quantum Theory of Open Systems 1976 Academic Press London
91. Gisin N. Phys. Lett. A 143 1990 1
92. Weinberg S. Phys. Rev. Lett. 1989 62 485
93. Weinberg S. Ann. Phys. 194 1989 336
94. Weinberg S. Nucl. Phys. B 6 1989 67
95. Fonda L. Ghirardi G.C. Rimini A. Weber T. Nuovo Cimento 15 A 1973 689
96. Fonda L. Ghirardi G.C. Rimini A. Rep. Prog. Phys. 41 1978 587
97. Fonda L. Ghirardi G.C. Rimini A. Nuovo Cimento 18 B 1973 1
98. Lindblad G. Commun. Math. Phys. 48 1976 119
99. Benatti F. Ghirardi G.C. Rimini A. Weber T. Nuovo Cimento 101 B 1988 333
100. Ghirardi G.C. Rimini A. Weber T. Phys. Rev. D 36 1987 3287
101. Bell J.S. in: Isham C. Pensrose R. Sciama D. (Eds.), Quantum Gravity 2 1981 Clarendon Press Oxford
102. also in: Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, 1987, p. 117.
103. Pearle P. Phys. Rev. A 39 1989 2277
104. Pearle P. Miller A.I. Sixty-Two Years of Uncertainity: Historical Philosophical, and Physics Inquires into the Foundations of Quantum Physics 1990 Plenum Press New York
105. Pearle P. Phys. Rev. A 59 1999 80
106. Pearle P. Breuer H.P. Petruccione F. Open Systems and Measurement in Relativistic Quantum Theory 1999 Springer Berlin
107. O. Nicrosini, A. Rimini, Relativistic spontaneous localizations: a proposal, preprint quant-ph/0207145.
108. Kraus K. States, Effects and Operations 1983 Springer Berlin
109. Stinespring W.F. Proc. Am. Math. Soc. 6 1955 211
110. Arnold L. Stochastic Differential Equations: Theory and Applications 1971 Wiley New York
111. Gisin N. Phys. Rev. Lett. 52 1984 1657
112. Gisin N. Phys. Rev. Lett. 53 1984 1776
113. Pearle P. Phys. Rev. Lett. 53 1984 1775
114. Diósi L. Phys. Lett. A 129 1988 419
115. Diósi L. Phys. Rev. A 40 1989 1165
116. Pearle P. Phys. Rev. D 13 1976 857
117. Pearle P. Found. Phys. 12 1982 249
118. Karolyhazy F. Nuovo Cimento A 42 1966 390
119. Komar A.B. Int. J. Theor. Phys. 2 1969 157
120. Penrose R. Penrose R. Isham C.J. Quantum Concepts in Space and Time 1986 Clarendon Oxford
121. Ellis J. Mohanty S. Nanopoulos D.V. Phys. Lett. B 221 1989 113
122. Frenkel A. Found. Phys. 20 1990 159
123. Pearle P. Squires E. Phys. Rev. Lett. 73 1994 1
124. Benatti F. Ghirardi G.C. Grassi R. in: Beltrametti E. Levy-Leblond J.M. (Eds.), Advances in Quantum Phenomena 1995 Plenum Press New York
125. Rimini A. in: Beltrametti E. Levy-Leblond J.M. (Eds.), Advances in Quantum Phenomena 1995 Plenum Press New York
126. Ghirardi G.C. Grassi R. Rimini A. Phys. Rev. A 42 1990 1057
127. Bassi A. Ghirardi G.C. Phys. Rev. A 65 2002 042114
128. Pearle P. Clifton R. Perspectives on Quantum Reality 1996 93 Kluwer Dordrecht
129. Diósi L. Strunz W.T. Phys. Lett. A 235 1997 569
130. Diósi L. Gisin N. Strunz W.T. Phys. Rev. A 58 1998 1699
131. Sobczyk K. Stochastic Wave Propagation 1985 Elsevier Amsterdam
132. Budini A.A. Phys. Rev. A 63 2000 012106
133. Hughston L.P. Proc. R. Soc. London, A 447 1996 953
134. Adler S. Howritz P. J. Math. Phys. 41 2000 2485
135. Adler S. J. Phys. A 35 2002 841
136. Bell J.S. Deser S. Finkelstein R.J. Themes in Contemporary Physics II, Essay in Honor of Julian Schwinger's 70th birthday 1989 World Scientific Singapore
137. Aicardi F. Borsellino A. Ghirardi G.C. Grassi R. Found. Phys. Lett. 4 1991 109
138. Bell J.S. Allen S. Proceedings of the Nobel Symposium 65: Possible Worlds in Art and Science 1986 Nobel Foundation Stockholm
139. Leggett A.J. Suppl. Prog. Theor. Phys. 69 1980 80
140. Bell J.S. CERN-TH 4035/84 1984
141. A. Shimony, in: A. Fine, M. Forbes, L. Wesseles (Eds.), Proceedings of the 1990 Biennial Meeting of the Philosophy of Science Association, Vol. 2, Philosophy of Science Association, East Leasing, 1990.
142. Lewis P. B. J. Phil. Sci. 48 1997 313
143. Clifton R. Monton B. Br. J. Phil. Sci. 50 1999 697
144. Clifton R. Monton B. Br. J. Phil. Sci. 51 1999 155
145. Ghirardi G.C. Bassi A. Br. J. Phil. Sci. 50 1999 49
146. Bassi A. Ghirardi G.C. Br. J. Phil. Sci. 50 1999 719
147. Bassi A. Ghirardi G.C. Br. J. Phil. Sci. 52 2001 125
148. Albert D.Z. Vaidman L. Phys. Lett. A 139 1989 1
149. Albert D.Z. in: Miller A.I. (Eds.), Sixty-Two Years of Uncertainity: Historical, Philosophical and Physics Inquires into the Foundations of Quantum Mechanics 1990 Plenum Press New York
150. Bialek W. Ann. Rev. Biophys. Chem. 16 1987 455
151. Bornacin F. Pfister C. Charbe M. Borsellino A. Cervetto L. Torre V. Sensory Transduction 1990 Plenum Press New York
152. Hubel H. Eye, Brain and Vision 1988 Freeman San Francisco
153. Penrose R. The Emperor's New Mind 1989 Oxford University Press Oxford
154. G.C. Ghirardi, P. Pearle, in: A. Fine, M. Forbes, L. Wessels (Eds.), Proceedings of the 1990 Biennial Meeting of the Philosophy of Science Association, Vol. 2, Philosophy of Science Association, East Leasing, 1990.
155. Butterfield J. Fleming G.N. Ghirardi G.C. Grassi R. Int. J. Theor. Phys. 32 1993 2287
156. Ghirardi G.C. Grassi R. Stud. Hist. Phil. Sci. 25 1994 397
157. Albert D. Time and Chance 2000 Harvard University Press Cambridge, MA
158. Ghirardi G.C. Rimini A. Weber T. Saint-Aubin Y. Vinet L. Proceedings of the XVIIth International Colloquium on Group Theoretical Methods in Physics, Sainte-Adele, Canada 1989 World Scientific Singapore
159. Ghirardi G.C. Rimini A. Miller A.I. Sixty-Two Years of Uncertainity: Historical Philosophical, and Physics Inquires into the Foundations of Quantum Physics 1990 Plenum Press New York
160. Adler S. Brun T. J. Phys. A 34 2001 4797
161. Bloch I. Phys. Rev. 156 1967 1377
162. Hellwing K.E. Kraus K. Phys. Rev. D 1 1970 566
163. Aharonov Y. Albert D.Z. Phys. Rev. D 21 1980 3316
164. Aharonov Y. Albert D.Z. Phys. Rev. D 24 1981 359
165. Ghirardi G.C. Pearle P. Rimini A. Kamefuchi S.et-al Proceedings of the International Sympoium on the Foundations of Quanum Mechanics, Tokyo, 1989 1990 Physical Socienty of Japan Tokyo
166. Redhead M. Incompleteness, Nonlocality and Realism: a Prolegomenon to the Philosophy of Quantum Mechanics 1987 Clarendon Press Oxford
167. Schrödinger E. Proc. Cambridge Phil. Soc. 31 1935 555
168. Eberhard P.H. Ross R.R. Found. Phys. Lett. 2 1989 127
169. Bell J.S. in: d'Epagnat B. (Eds.), Foundations of Quantum Mechanics 1971 Academic Press New York
170. J.S. Bell, see also Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, 1987.
171. P. Suppes, M. Zanotti, On the determinism of hidden variable theories with strict correlations and conditional statistical independence of observables, Reidel, Dordrecht, 1976, p. 445.
172. van Fraassen B. Synthese 52 1982 25
173. Jarrett J. Nous 18 1984 569
174. Butterfield J. Fleming G.N. Ghirardi G.C. Grassi R. Int. J. Theor. Phys. 32 1993 2287
175. Tegmark M. Found. Phys. Lett. 6 1993 571
176. Pearle P. Accardi L. The Interpretation of Quantum Theory: Where do we stand? 1994 Enciclopedia Italiana Roma
177. Poratti M. Putterman S. Phys. Rev. A 39 1989 3010
178. Cohen-Tannoudji C. Dalibard J. Europhys. Lett. 1 1986 441
179. A.I.M. Rae, J. Phys. A 23 (1990) L57.
180. Buffa M. Nicrosini O. Rimini A. Found. Phys. Lett. 8 1995 105
181. D.R. Tilley, J. Tilley, Superfluidity and Superconductivity, 2nd ed., Adam Hilger, Bristol, 1986.