Understanding quantum measurement from the solution of dynamical models

Physics Reports

Volumn 525, Issue 1, 2013, Pages 1-166

  Allahverdyan, Armen E ^a,d   Balian, Roger ^b   Nieuwenhuizen, Theo M ^c,e  

^a Laboratoire de Statistique et Processus   (France)

^b CEA SACLAY   (France)

^c NEW YORK UNIVERSITY   (United States)

^d YEREVAN PHYSICS INSTITUTE   (Armenia)

^e UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Apparatus; Collapse of the wavefunction; Decoherence; Dynamical models; Ideal and imperfect measurements; Pointer; Quantum measurement problem; Reduction; Registration; Statistical interpretation; Truncation

Indexed keywords

EID: 84872122893     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2012.11.001     Document Type: Review

References (380)

1. Born, M., Z. Phys., 37, 1926, 863.
2. Heisenberg, W., Z. Phys., 43, 1927, 172.
3. W. Heisenberg, The Physical Principles of the Quantum Theory, Trans. by C. Eckhart and F.C. Hoyt, (University of Chicago Press, Chicago, 1930; Dover Publications, New York, 1949).
4. Von Neumann, J., Mathematische Grundlagen der Quantenmechanik. 1932, Springer, Berlin English translation by R. T. Beyer: Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, 1955.
5. Jammer, M., The Conceptual Development of Quantum Mechanics. 1966, McGraw-Hill, New York 2nd ed: New York: American Institute of Physics, 1989.
6. Jammer, M., The Philosophy of Quantum Mechanics: The Interpretations of Quantum Mechanics in Historical Perspective. 1974, Wiley-Interscience, New York.
7. Mehra, J., Rechenberg, H., The Historical Development of Quantum Theory, Vol. 1, 2, 3, 4, 5, 6I and 6II. 1982, Springer, New York.
8. Wheeler, J.A., Zurek, W.H., Quantum Theory and Measurements. 1983, Princeton University Press.
9. Ballentine, L.E., Rev. Modern Phys., 42, 1970, 358 Sections I-IV.
10. Blokhintsev, D.I., Quantum Mechanics: Lectures on Selected Questions. 1988, Moscow State University, Moscow.
11. Blokhintsev, D.I., Principal Questions of Quantum Mechanics. 1988, Nauka Publishing House, Moscow.
12. Hepp, K., Helv. Phys. Acta, 45, 1972, 237.
13. Wigner, E.P., Am. J. Phys., 31, 1963, 6.
14. van Kampen, N.G., Physica A, 153, 1988, 97.
15. Lupascu, A., Saito, S., Picot, T., de Groot, P.C., Harmans, C.J.P.M., Mooij, J.E., Nat. Phy., 3, 2007, 119.
16. Ariano, G.M.D’ Sacchi, M.F., Optical von Neumann measurement. Phys. Lett., 231, 1997, 325.
17. Bassi, A., Ghirardi, G.C., Phys. Rep., 379, 2003, 257.
18. Bohm, D., Part I. Phys. Rev., 85, 1952, 166 Part II, Phys. Rev. (85) 180.
19. Holland, P.R., The Quantum Theory of Motion. 1993, Cambridge University Press, Cambridge.
20. Nieuwenhuizen, Th.M., Mehmani, B., Spicka, V., Aghdami, M.J., Khrennikov, A.Yu., (eds.) Beyond The Quantum, 2007, World Scientific Singapore.
21. Daneri, A., Loinger, A., Prosperi, G.M., Nuclear Phys., 33, 1962, 297.
22. Peres, A., Quantum Theory: Concepts and Methods. 1993, Kluwer, Dordrecht.
23. Einstein, A., Dialectica, 2, 1948, 320.
24. de Broglie, L., Nonlinear Wave Mechanics. 1960, Elsevier, Amsterdam.
25. Everett, H., Rev. Modern Phys., 29, 1957, 454.
26. Saunders, S., Barrett, J., Kent, A., Wallace, D., (eds.) Many Worlds? Everett, Quantum Theory and Reality, 2010, Oxford University Press, Oxford.
27. Bell, J.S., Physics, 1, 1964, 195.
28. Park, J.L., Am. J. Phys., 36, 1968, 211.
29. Home, D., Whitaker, M.A.B., Phys. Rep., 210, 1992, 223.
30. London, F., Bauer, E., La théorie de la observation en mécanique quantique. 1939, Hermann et Cie.
31. Muynck, W.M.de., Foundations of Quantum Mechanics, an Empiricist Approach. 2002, Kluwer Academic Publishers, Dordrecht.
32. Schlosshauer, M., Rev. Modern Phys., 76, 2004, 1267.
33. Zurek, W.H., Rev. Modern Phys., 75, 2003, 715.
34. Laloë F., Am. J. Phys. 69 (2001), 655–701.
35. Laloë F., Comprenons-nous vraiment la mécanique quantique. 2011, EDP Sciences/CNRS Editions, Paris.
36. Bellac, M.Le., Quantum Physics. 2006, Cambridge University Press, Cambridge.
37. Greenberger, D.M., Horne, M.A., Zeilinger, A., arXiv:0712.0921.
38. Pan, J.W., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A., Nature, 403, 2000, 515.
39. Schrödinger, E., Naturwissenschanften, 23, 1935, 807.
40. Giulini, D., Joos, E., Kiefer, C., Kupsch, J., Stamatescu, O., Zeh, H.D., Decoherence and the Appearance of the Classical World in Quantum Theory. 1996, Springer, Berlin.
41. Hammerer, K., Sorensen, A.S., Polzik, E.S., Rev. Modern Phys., 82, 2010, 1041.
42. Galindo, A., Martin-Delgado, M.A., Rev. Modern Phys., 74, 2002, 347.
43. Nakamura, Y., Pashkin, Yu.A., Tsai, J.S., Nature (London), 398, 1999, 786.
44. Nakamura, Y., et al. Phys. Rev. Lett., 88, 2002, 047901.
45. Vion, D., Aassime, A., Cottet, A., Joyez, P., Pothier, H., Urbina, C., Estève, D., Devoret, M.H., Science 296 (2002), 886–889.
46. Jost, J.D., Home, J.P., Amini, J.M., Hanneke, D., Ozeri, R., Langer, C., Bollinger, J.J., Leibfried, D., Wineland, D.J., Nature, 459, 2009, 683.
47. Busch, P., Lahti, P.J., Mittelstaedt, P., The Quantum Theory of Measurement. Second Revised Edition, 1996, Springer, Berlin.
48. Ballentine, L.E., Quantum Mechanics. 1990, Prentice Hall Quantum Mechanics: A Modern Development, World Scientific, 1998.
49. D'ariano, G.M., Yuen, H.P., Phys. Rev. Lett., 76, 1996, 2832.
50. Gleason, A.M., J. Math. Mech., 6, 1957, 885.
51. Einstein, A., Podolsky, B., Rosen, N., Phys. Rev., 47, 1935, 777.
52. Balian, R., Am. J. Phys., 57, 1989, 1019.
53. Balian, R., Vénéroni, M., Ann. Phys., 174, 1987, 229.
54. Mayer, J.E., Mayer, M.G., Statistical Mechanics, 2nd ed., 1977, John Wiley & Sons, New York pp. 145–154.
55. Krylov, N.S., Works on the Foundations of Statistical Mechanics. 1979, Princeton University Press, Princeton.
56. Callen, G.B., Thermodynamics and an Introduction to Thermostatistics. 1960/1985, Wiley, New York.
57. Balian, R., Poincaré seminar, 2, 121. 2003, Birkhhaüser.
58. Balian, R., Stud. Hist. Philos. Sci. B Stud. Hist. Philos. Modern Phys. 36 (2005), 323–353.
59. Allahverdyan, A.E., Nieuwenhuizen, Th.M., Phys. Rev. E, 73, 2006, 066119.
60. Hahn, E.L., Phys. Rev., 80, 1950, 580.
61. Brewer, R.G., Hahn, E.L., Sci. Am., 251(6), 1984, 42.
62. Rhim, W.-K., Pines, A., Waugh, J.S., Phys. Rev. Lett., 25, 1970, 218.
63. Rhim, W.-K., Pines, A., Waugh, J.S., Phys. Rev. B, 3, 1971, 684.
64. Waugh, J.S., Bagguley, G.G., (eds.) Pulsed Magnetic Resonance: NMR, ESR and Optics (A Recognition of E. L. Hahn), 1992, Clarendon, Oxford p. 174.
65. Creswick, R.J., Phys. Rev. Lett., 93, 2004, 100601.
66. The Holy Bible with commentaries of Henry and Scott, condensed by the Rev. John Mc Farlane. (William Collins, Glasgow, MDCCCLXI).
67. Lüders, G., Ann. Phys. (Leipzig), 8, 1951, 322 English translation: K.A. Kirkpatrick, Ann. Phys. (Leipzig) 15 2006 (663).
68. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Europhys. Lett., 61, 2003, 453.
69. M. Requardt, An Alternative to Decoherence by Environment and the Appearance of a Classical World, arXiv:1009.1220 [quant-ph].
70. Shannon, C.E., Weaver, W., The Mathematical Theory of Communication. 1949, University of Illinois Press, Urbana.
71. Jaynes, E.T., Phys. Rev., 108, 1957, 171.
72. Lindblad, G., Non-Equilibrium Entropy and Irreversibility. 1983, Reidel, Dordrecht.
73. Balian, R., From Microphysics to Macrophysics: Methods and Applications of Statistical Physics, vol. I, II. 2007, Springer, Berlin.
74. Brillouin, L., Science and Information Theory. 2004, Dover, New York.
75. Balian, R., Am. J. Phys., 67, 1999, 1078.
76. Yanase, M.M., Phys. Rev., 123, 1961, 666.
77. Allahverdyan, A.E., Hovhannisyan, K., Phys. Rev. A, 81, 2010, 012312.
78. Balian, R., Eur. J. Phys., 10, 1989, 208.
79. Hossein Partovi, M., Phys. Rev. Lett., 50, 1983, 1883.
80. Brillouin, L., J. Appl. Phys., 24, 1953, 1152.
81. Maruyama, K., Nori, F., Vedral, V., Rev. Modern Phys., 81, 2009, 1.
82. Lindblad, G., Comm. Math. Phys., 28, 1972, 245.
83. Bohr, N., Nature, 121, 1928, 78.
84. Bohr, N., Nature, 121, 1928, 580.
85. Landau, L.D., Lifshitz, E.M., Quantum Mechanics. 1958, Pergamon Press, Oxford.
86. Rovelli, C., Internat. J. Theoret. Phys., 35, 1996, 1637.
87. Bohm, D., Quantum Theory. 1991, Dover, New York.
88. Jaeger, G., Entanglement, Information, and the Interpretation of Quantum Mechanics. 2009, Springer, Berlin.
89. Omnès, R., Phys. Rev. A, 65, 2002, 052119.
90. Pearle, P., Phys. Rev. D, 13, 1976, 857.
91. Grigorenko, A.N., J. Phys. A: Math. Gen., 28, 1995, 1459.
92. Bell, J.S., Helv. Phys. Acta, 48, 1975, 93.
93. Busch, P., Lahti, P.J., Found. Phys., 26, 1996, 875.
94. J.M. Jauch, The problem of measurement in quantum mechanics, CERN preprint 7664/TH.389, Geneva, 1964.
95. Willis, C.R., Picard, R.H., Phys. Rev. A, 9, 1974, 1343.
96. Delos, J.B., Thorson, W.R., Knudson, S.K., Phys. Rev. A, 6, 1972, 709.
97. Stenholm, S., Phys. Rev. A, 47, 1993, 2523.
98. Diosi, L., et al. Phys. Rev. A, 61, 2000, 022108.
99. Diosi, L., Emergence of classicality: from collapse phenomenologies to hybrid dynamics. Blanchard, Ph., Guilini, D., Joos, E., Kiefer, C., Stamatescu, I.O., (eds.) Decoherence: Theoretical, Experimental and Conceptual Problems Lecture Notes in Physics, vol. 538, 2000, Springer-Verlag, Berlin, Heidelberg.
100. Boucher, W., Traschen, J., Phys. Rev. D, 37, 1988, 3522.
101. Anderson, A., Phys. Rev. Lett., 74, 1995, 621.
102. Gindensperger, E., Meier, C., Beswick, J.A., J. Chem. Phys., 113, 2000, 9369.
103. Prezhdo, O.V., Brooksby, C., Phys. Rev. Lett., 86, 2001, 3215.
104. Burghardt, I., Parlant, G., J. Chem. Phys., 120, 2004, 3055.
105. Sherry, T.N., Sudarshan, E.C.G., Phys. Rev. D, 20, 1979, 857.
106. Peres, A., Terno, D.R., Phys. Rev. A, 63, 2001, 022101.
107. Caro, J., Salcedo, L.L., Phys. Rev. A, 60, 1999, 842.
108. Salcedo, L.L., Phys. Rev. A, 54, 1996, 3657.
109. Hall, M.J., Reginatto, M., Phys. Rev. A, 72, 2005, 062109.
110. Kiefer, C., Quantum Gravity. 2004, Clarendon Press, Oxford.
111. Terno, D.R., Found. Phys., 36, 2006, 102.
112. Hall, M.J., Phys. Rev. A, 78, 2008, 042104.
113. Elze, H.T., Gambarotta, G., Vallone, F., Int. J. Quant. Inf., 9, 2011, 203 Suppl. 1.
114. H.T. Elze, Linear dynamics of quantum-classical hybrids, arXiv:1111.2276.
115. Grangier, P., Eur. J. Phys., 23, 2002, 331.
116. P. Grangier, FAQ about the “contextual objectivity” point of view, arXiv:quant-ph/0203131.
117. Everitt, M.J., Munro, W.J., Spiller, T.P., Phys. Lett. A, 374, 2010, 2809.
118. Gisin, N., Percival, I.C., J. Phys. A., 25, 1992, 5677.
119. Everitt, M.J., Clark, T.D., Stiffell, P.B., Ralph, J.F., Bulsara, A.R., Harland, C.J., Phys. Rev. E, 72, 2005, 066209.
120. Blanchard, Ph., Jadczyk, A., Phys. Lett. A, 175, 1993, 157.
121. Weiss, U., Quantum Dissipative Systems. 1993, World Scientific, Singapore.
122. Gardiner, C.W., Quantum Noise. 1991, Springer-Verlag, Berlin.
123. Thirring, W., Quantum Mechanics of Large Systems A Course in Mathematical Physics, vol. 4, 1980, Springer-Verlag, Wien.
124. Pechukas, P., Phys. Rev. Lett., 73, 1994, 1060.
125. Blanchard, Ph., Jadczyk, A., Phys. Lett. A, 203, 1995, 260.
126. Kibble, T.W.B., Commun. Math. Phys., 65, 1979, 189.
127. Heslot, A., Phys, Rev. D, 31, 1985, 1341.
128. Gibbons, G.W., J. Geom. Phys., 8, 1992, 147.
129. Ashtekar, A., Schilling, T.A., arXiv:gr-qc/9706069.
130. Kryukov, A.A., Found. Phys., 37, 2007, 3.
131. Ballentine, L.E., Yang, Yumin, Zibin, J.P., Phys. Rev. A 50 (1994), 2854–2859.
132. Habib, S., Jacobs, K., Mabuchi, H., Ryne, R., Shizume, K., Sundaram, B., Phys. Rev. Lett., 88, 2002, 040402.
133. Wiebe, N., Ballentine, L.E., Phys. Rev. A, 72, 2005, 022109.
134. Peña, L.de.la., Cetto, A.M., The Quantum Dice: an Introduction to Stochastic Electrodynamics. 1996, Kluwer Academic, Dordrecht.
135. Peña, L.de.la., Cetto, A.M., Found. Phys., 31, 2001, 1703.
136. Nieuwenhuizen, Th.M., Classical Phase Space Density for the Relativistic Hydrogen Atom, AIP Conf. Proc., 810, 2006, 198.
137. Nieuwenhuizen, Th.M., The Pullback Mechanism in Stochastic Electrodynamics AIP Conf. Proc., vol. 962, 2007, 148.
138. C. Wetterich, Emergence of quantum mechanics from classical statistics, arXiv:0811.0927 [quant-ph].
139. Khrennikov, A.Yu., EPL, 88, 2009, 40005.
140. Khrennikov, A.Yu., EPL, 90, 2010, 40004.
141. A.Yu. Khrennikov, B. Nilsson, S. Nordebo, Classical signal model reproducing quantum probabilities for single and coincidence detections, arxiv:1112.5591.
142. A.Yu. Khrennikov, Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type properly calibrated detectors, arXiv:1111.1907.
143. Mermin, N.D., Phys. Today, 38, 1985, 4, 38.
144. Aspect, A., Grangier, P., Roger, G., Phys. Rev. Lett., 49, 1982, 91.
145. Aspect, A., Dalibard, J., Roger, G., Phys. Rev. Lett., 49, 1982, 1804.
146. Ou, Z.Y., Mandel, L., Phys. Rev. Lett., 61, 1988, 50.
147. Shih, Y.H., Alley, C.O., Phys. Rev. Lett., 61, 1988, 2921.
148. Rarity, J.G., Tapster, P.R., Phys. Rev. Lett., 64, 1990, 2495.
149. Kwiat, P.G., Steinberg, A.M., Chiao, R.Y., Phys. Rev. A, 47, 1993, R2472.
150. Accardi, L., Phys. Rep., 77, 1981, 169.
151. L. Accardi, M. Regoli, The EPR correlations and the chameleon effect, arXiv:quant-ph/0110086.
152. Khrennikov, A., What does probability theory tell us about Bell's inequality?. Adv. Sci. Lett., 2, 2009, 488.
153. Nieuwenhuizen, Th.M., Accardi, L., Adenier, G., Fuchs, C.A., Jaeger, G., Khrennikov, A.Yu., Larsson, J.A., Stenholm, S., (eds.) AIP Conf. Proc., vol. 1101 Foundations of Probability and Physics - 5, 2009, Am. Inst. Phys, Melville, NY pp 127.
154. Nieuwenhuizen, Th.M., Found. Phys., 41, 2010, 580.
155. Bub, J., Found. Phys., 18, 1988, 701.
156. Emch, G.G., Algebraic Methods in Statistical Mechanics and Quantum Field Theory. 1972, J. Wiley-Interscience, New York.
157. Whitten-Wolfe, B., Emch, G.G., Helv. Phys. Acta, 49, 1976, 45.
158. Landsman, N.P., Rev. Math. Phys., 20, 2008, 1173.
159. Nakazato, H., Pascazio, S., Phys. Rev. Lett., 70, 1993, 1.
160. Sewell, G.L., Rep. Math. Phys., 56, 2005, 271.
161. Sewell, G.L., Markov Process. Related Fields, 13, 2007, 425.
162. G.L. Sewell, Can the Quantum Measurement Problem be resolved within the framework of Schrödinger Dynamics and Quantum Probability? arXiv:0710.3315.
163. Green, H.S., Il Nuovo Cim., 9, 1958, 880.
164. Cini, M., Il Nuovo Cim., 73B, 1983, 27.
165. Requardt, M., Z. Naturforsch., 39, 1984, A, 1147.
166. Gaveau, B., Schulman, L.S., J. Stat. Phys., 58, 1990.
167. Merlin, R., Europhys. Lett., 76, 2006, 541.
168. M. Grady, hep-th/9409049 (1994).
169. Fioroni, M., Immirzi, G., arXiv:gr-qc/9411044.
170. Pankovic, V., Predojevic, M., arXiv:quant-ph/0701241.
171. Ne'eman, Y., Found. Phys., 16, 1986, 361.
172. Zimanyi, G.T., Vladar, K., Found. Phys. Letters, 1, 1988, 175.
173. Ullersma, P., Physica (Utrecht), 32, 1966, 27.
174. Ullersma, P., Physica (Utrecht), 32, 1966, 56.
175. Ullersma, P., Physica (Utrecht), 32, 1966, 74.
176. Ullersma, P., Physica (Utrecht), 32, 1966, 90.
177. Möhring, K., Smilansky, U., Nucl. Phys., A338, 1980, 227.
178. Caldeira, A.O., Leggett, A.J., Ann. Phys., 149, 1983, 374.
179. Nieuwenhuizen, Th.M., Allahverdyan, A.E., Phys. Rev. E, 66, 2002, 036102.
180. Van wezel, J., Van den brink, J., Zaanen, J., Phys. Rev. Lett., 94, 2005, 320401.
181. Haake, F., Walls, D.F., Phys. Rev. A, 36, 1987, 730.
182. Haake, F., Zukowski, M., Phys. Rev. A, 47, 1993, 2506.
183. Venugopalan, A., Phys. Rev. A, 61, 2000, 012102.
184. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Phys. Rev. A, 64, 2001, 032108.
185. Spehner, D., Haake, F., J. Phys. A: Math. Theor., 41, 2008, 072002.
186. Spehner, D., Haake, F., Phys. Rev. A, 77, 2008, 052114.
187. Mozyrsky, D., Privman, V., Mod. Phys. Letters B, 14, 2000, 303.
188. R. Omnès, On the derivation of wave function reduction from Schrödinger's equation: A model, arXiv:1006.3227 [quant-ph].
189. Jordan, P., Phil. Sci., 16, 1949, 269.
190. Ludwig, G., Z. Phys., 135, 1953, 483.
191. Pessoa, O., Freire, O., Greiff, A.De., Phys. Perspect., 10, 2008, 138.
192. Jauch, J.M., Wigner, E.P., Yanase, M.M., Nuovo Cimento B, 48, 1967, 144.
193. Renninger, M., Z. Phys., 136, 1953, 251.
194. Fehrs, M.H., Shimony, A., Phys. Rev. A, 9, 1974, 2317.
195. Shimony, A., Phys. Rev. A, 9, 1974, 2321.
196. Busch, P., Shimony, A., Studies. History Philos. Modern Phys. B, 27, 1997, 399.
197. Fine, A., Phys. Rev. D, 2, 1970, 2783.
198. H. Krips, Measurement in quantum theory: The end of Copenhagen monocracy. Stanford Encyclopedia of Philosophy, 2007. (http://plato.stanford.edu/entries/qt-measurement/).
199. H. Brox, K. Olaussen, A.K. Nguyen, Collapse of the Quantum Wavefunction, arXiv:0809.1575 [quant-ph].
200. Breuer, H.-P., Petruccione, F., The Theory of Open Quantum Systems. 2002, Oxford University Press, Oxford.
201. Allahverdyan, A.E., Mahler, G., Europhys. Lett., 84, 2008, 40007.
202. Blanchard, Ph., Guilini, D., Joos, E., Kiefer, C., Stamatescu, I.O., (eds.) Decoherence: Theoretical, Experimental and Conceptual Problems Lecture Notes in Physics, vol. 538, 2000, Springer-Verlag, Berlin, Heidelberg.
203. Walls, D.F., Collett, M.J., Milburn, G.J., Phys. Rev. D, 32, 1985, 3208.
204. Walls, D.F., Milburn, G.J., Quantum Optics. 1994, Springer, Berlin.
205. Braun, D., Haake, F., Strunz, W.T., Phys. Rev. Lett., 86, 2001, 2913.
206. Slichter, C.P., Principles of Magnetic Resonance. 1990, Springer, Berlin.
207. Abragam, A., The Principles of Nuclear Magnetism. 1961, Clarendon, Oxford.
208. Abragam, A., Goldman, M., Nuclear Magnetism: Order and Disorder. 1982, Clarendon, Oxford.
209. Klimontovich, Yu.L., Statistical Theory of Open Systems. 1997, Kluwer, Amsterdam.
210. Ballentine, L.E., Phys. Rev. A, 70, 2004, 032111.
211. Zurek, W.H., Phys. Rev. Lett., 90, 2003, 120404.
212. Zurek, W.H., Phys. Rev. A, 71, 2005, 052105.
213. Schlosshauer, M., Fine, A., Found. Phys., 35, 2005, 197.
214. Smolin, L., Found. Phys., 42, 2012, 1239.
215. I. Schmelzer, The paleoclassical interpretation of quantum theory, arXiv:1103.3506.
216. A. Aguirre, M. Tegmark, D. Layzer, Born in an Infinite Universe: a Cosmological Interpretation of Quantum Mechanics, arXiv:1008.1066.
217. Cushing, J.T., Fine, A., Goldstein, S., (eds.) Bohmian Mechanics and Quantum Theory: An Appraisal, 1996, Kluwer, Dordrecht.
218. Ghirardi, G.C., Rimini, A., Weber, T., Phys. Rev. D, 34, 1986, 470.
219. Adler, S.L., Quantum Theory as an Emergent Phenomenon. 2004, Cambridge University Press.
220. Pearle, P., Breuer, H.P., Petruccione, F., (eds.) Open Systems and Measurements in Relativistic Quantum Field Theory Lecture Notes in Physics, vol. 526, 1999, Springer, Berlin.
221. Brody, D.C., Hughston, L.P., J. Phys. A, 39, 2006, 833.
222. Bohm, D., Bub, J., Rev. Modern Phys., 38, 1966, 453.
223. Bialynicki-Birula, I., Mycielski, J., Ann. Phys., 100, 1976, 62.
224. Gisin, N., J. Phys. A: Math. Gen., 14, 1981, 2259.
225. Gisin, N., Helv. Phys. Acta, 62, 1989, 363.
226. Weinberg, S., Ann. Phys., 194, 1989, 336.
227. G. Svetlichny, Informal Resource Letter - Nonlinear quantum mechanics on arXiv up to August 2004, arXiv:quant-ph/0410036.
228. Shull, C.G., et al. Phys. Rev. Lett., 44, 1980, 765.
229. Bollinger, J.J., et al. Phys. Rev. Lett., 63, 1989, 1031.
230. De Raedt, H., De Raedt, K., Michielsen, K., Europhys. Lett., 69, 2005, 861.
231. Michielsen, K., Jin, F., Raedt, H.De., J. Comp. Theor. Nanosci., 8, 2011, 1052.
232. Griffiths, R.B., J. Stat. Phys., 36, 1984, 219.
233. Aharonov, Y., Bergmann, P.L., Lebowitz, J., Phys. Rev., 134:B, 1964, 1410.
234. Griffiths, R.B., Consistent Quantum Theory. 2002, Cambridge University Press.
235. Gell-Mann, M., Hartle, J.B., Phys. Rev. D, 47, 1993, 3345.
236. Hohenberg, P., Rev. Modern Phys., 82, 2010, 2835.
237. Omnès, R., Understanding Quantum Mechanics. 1999, Princeton University Press.
238. Kent, A., Phys. Rev. Lett., 78, 1997, 2874.
239. Diosi, L., Phys. Rev. Lett., 92, 2004, 170401.
240. Griffiths, R.B., Hartle, J., Phys. Rev. Lett., 81, 1998, 1981.
241. Griffiths, R.B., Phys. Rev. A, 57, 1998, 1604.
242. Kent, A., Breuer, H.P., Petruccione, F., (eds.) Relativistic Quantum Measurement and Decoherence Lect. Not. in Phys., vol. 559, 2000, 93.
243. Bassi, A., Ghirardi, G.C., Phys. Lett. A, 257, 1999, 247.
244. Bassi, A., Ghirardi, G.C., J. Stat. Phys., 98, 2000, 457.
245. Griffiths, R.B., J. Stat. Phys., 99, 2000, 1409.
246. Bassi, A., Ghirardi, G.C., Phys. Lett. A, 265, 2000, 153.
247. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Atti d. Fond. G. Ronchi, An. LVIII, N. 6 (2003), 719–727.
248. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Khrennikov, A., (eds.) AIP Conf. Proc., vol. 750, 2005, Am. Inst. Phys, Melville, NY, 26–34.
249. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Physica E 29 (2005), 261–271.
250. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Adenier, G., Khrennikov, A.Yu., Nieuwenhuizen, Th.M., (eds.) AIP Conf. Proc. vol. 810, 2006, Am. Inst. Phys., Melville, NY, 47–58.
251. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Nieuwenhuizen, Th.M., Mehmani, B., Spicka, V., Aghdami, M.J., Khrennikov, A.Yu., (eds.) Beyond the Quantum, 2007, World Scientific, 53–65.
252. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Physica E, 42, 2010, 339.
253. Landau, L.D., Lifshitz, E.M., Statistical Physics, vol. 1. 1978, Pergamon Press, Oxford.
254. Lavis, D.A., Bell, G.M., Statistical Mechanics of Lattice Systems, vol. 1. 1999, Springer-Verlag, Berlin.
255. Nagaev, E., Magnets with Complicate Exchange Interaction. 1988, Nauka, Moscow.
256. van Kampen, N.G., Stochastic Processes in Physics and Chemistry. 1992, North Holland, Amsterdam.
257. Risken, H., The Fokker-Planck Equation. 1984, Springer-Verlag, Berlin.
258. Abramowitz, M., Stegun, I.A., Handbook of Mathematical Functions. 1972, Dover, New York.
259. Baclawski, K., Donsker, M.D., Mark Kac: Probability, Number Theory, and Statistical Physics, Mathematicians of Our Time 14. 1979, Cambridge, Mass.-London.
260. Mehta, M.L., Random Matrices. 2004, Elsevier, London.
261. Suzuki, M., Kubo, R., J. Phys. Soc. Jap., 24, 1968, 51.
262. Bolton, H.C., Leng, C.A., J. Phys. C, 6, 1973, 3737.
263. Goldstein, J.C., Scully, M.O., Phys. Rev. B, 7, 1973, 1084.
264. Wang, Y.K., Phys. Rev. B, 8, 1973, 5199.
265. Palmer, R.G., Adv. Phys., 31, 1982, 669.
266. Mézard, M., Parisi, G., Virasoro, M.A., Spin Glass Theory and Beyond. 1987, World Scientic, Singapore.
267. Leuzzi, L., Nieuwenhuizen, Th.M., Thermodynamics of the Glassy State. 2008, Taylor and Francis, New York.
268. Suzuki, M., Progr. Theoret. Phys., 56, 1976, 77.
269. Suzuki, M., J. Stat. Phys., 16, 1977, 11.
270. Caroli, B., Caroli, C., Roulet, B., Saint-James, D., Physica A, 108, 1981, 233.
271. Bunde, A., Gouyet, J.-F., Physica A, 132, 1985, 357.
272. Hu, G., Phys. Lett. A, 116, 1986, 361.
273. Ohira, T., Pearle, P., Am. J. Phys., 56, 1988, 692.
274. Ozawa, M., Phys. Rev. Lett., 88, 2002, 050402.
275. Meister, B.K., arXiv:quant-ph/0701154.
276. Arthurs, E., Goodman, M.S., Phys. Rev. Lett., 60, 1988, 2447.
277. Martens, H., Muynck, W.de., Found. Phys., 20, 1990, 255.
278. Appleby, D.M., Int. J. Theor. Phys., 37, 1998, 1491.
279. Luis, A., Phys. Rev. Lett., 88, 2002, 230401.
280. Maccone, L., EPL, 77, 2007, 40002.
281. Busch, P., et al. Phys. Reports, 452, 2007, 155.
282. Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M., Phys. Rev. Lett., 92, 2004, 120402.
283. Mehmani, B., Allahverdyan, A.E., Nieuwenhuizen, Th.M., Phys. Rev. A, 77, 2008, 032122.
284. Aquino, G., Giraldi, F., Phys. Rev. A, 78, 2008, 062115.
285. Wigner, E.P., Z. Physik, 133, 1952, 101.
286. Araki, H., Yanase, M.M., Phys. Rev., 120, 1960, 622.
287. Stenholm, S., Ann. Phys., 218, 1992, 233.
288. Sokolovski, D., Sherman, E.Ya., Phys. Rev. A, 84, 2011, 030101(R).
289. Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A., Phys. Rev. Lett., 23, 1969, 880.
290. Jaeger, G., Viger, C., Sarkar, S., Phys. Lett. A, 210, 1996, 5.
291. Hess, K., Michielsen, K., Raedt, H.De., Europhys. Lett., 87, 2009, 60007.
292. Jaynes, E.T., Rosenkrantz, R.D., (eds.) Papers On Probability, Statistics and Statistical Physics, 1983, D. Reidel, Dordrecth, Holland.
293. Katz, A., Principles of Statistical Mechanics: the Information Theory Approach. 1967, Freeman, San Francisco.
294. Lenard, A., J. Stat. Phys., 19, 1978, 575.
295. Bassett, I.M., Phys. Rev. A, 18, 1978, 2356.
296. Allahverdyan, A.E., Nieuwenhuizen, Th.M., Physica A, 305, 2002, 542.
297. Allahverdyan, A.E., Nieuwenhuizen, Th.M., Phys. Rev. E, 71, 2005, 046107.
298. Allahverdyan, A.E., Hovhannisyan, K.V., Europhs. Lett., 95, 2011, 60004.
299. Gemmer, J., Michel, M., Mahler, G., Quantum Thermodynamics. 2004, Springer, NY.
300. Parrondo, J.M.R., Van den broeck, C., Kawai, R., New J. Phys., 11, 2009, 073008.
301. Ebeling, W., Physica A, 182, 1992, 108.
302. Alter, O., Yamamoto, Y., Quantum Measurement of a Single System. 2001, Wiley, NY.
303. Plotnitsky, A., Found. Phys., 41, 2011, 466.
304. Balazs, N.L., Jennings, B.K., Phys Rep., 104, 1984, 347.
305. Hillery, M., O'Connell, R.F., Scully, M.O., Wigner, E.P., Phys. Rep., 121, 1984, 106.
306. Genovese, M., Phys. Rep., 413, 2007, 319.
307. Kofler, J., Brukner, C., Phys. Rev. Lett., 101, 2008, 090403.
308. O'Connell, A.D., et al. Nature 464 (2010), 697–703.
309. Balian, R., Vénéroni, M., Nuclear Phys. B, 408, 1993, 445.
310. Nagourney, W., Sandberg, J., Dehmelt, H., Phys. Rev. Lett., 56, 1986, 2797.
311. Leibfried, D., Blatt, R., Monroe, C., Wineland, D., Rev. Modern Phys., 75, 2003, 281.
312. Venn, J., The Logic of Chance. 1866, Macmillan, London reprinted by Chelsea, New York, 1962.
313. von Mises, R., Probability, Statistics and Truth. 1957, Macmillan, London.
314. Cox, R.T., Am. J. Phys., 14, 1946, 1.
315. de Finetti, B., Theory of Probability. 1990, Wiley, New-York.
316. Balian, R., Balazs, N.L., Ann. Phys., 179, 1987, 97.
317. L. Vervoort, A detailed interpretation of probability, and its link with quantum mechanics, arXiv:1011.6331.
318. Khrennikov, A.Yu., Found. Phys., 32, 2002, 1159.
319. Caves, C.M., Fuchs, C.A., Schack, R., Phys. Rev. A, 65, 2002, 022305.
320. Rivas, A., Luis, A., Phys. Rev. A, 77, 2008, 022105.
321. d'Espagnat, B., Veiled Reality, An Analysis of Present-Day Quantum Mechanical Concepts. 1995, Addison-Wesley, Reading, Massachusetts Originally published in French 1994.
322. Sayrin, C., Dotsenko, I., Zhou, X., et al. Nature, 477, 2011, 73.
323. Uffinck, J., Studies in Hist. and Phil. of Mod. Phys., 26B, 1995, 223.
324. Blankenbecler, R., Partovi, M.H., Phys. Rev. Lett., 54, 1985, 373.
325. Campa, A., Dauxois, T., Ruffo, S., Phys. Rep., 480, 2009, 57.
326. Rozonoer, L.I., Probl. Peredachi Inf., 35, 1999, 84.
327. Allahverdyan, A.E., Nieuwenhuizen, Th.M., Phys. Rev. E, 71, 2005, 066102.
328. Cohen, O., Phys. Rev. A, 60, 1999, 80.
329. Fratini, F., Hayrapetyan, A.G., Phys. Scr., 84, 2011, 035008.
330. Terno, D.R., Phys. Rev. A, 63, 2000, 016101.
331. Bodor, A., Diosi, L., arXiv:1110.4549v2.
332. Molmer, K., Phys. Rev. A, 55, 1997, 3195.
333. Schrödinger, E., Proc. Cambridge Philos. Soc., 32, 1936, 446.
334. Rudolph, T., Sanders, B.C., Phys. Rev. Lett., 87, 2001, 077903.
335. Kok, P., Braunstein, S.L., Phys. Rev. A, 61, 2000, 042304.
336. Khinchin, A.Y., Sov. Phys. Usp., 9, 1929, 141.
337. Compagner, A., Am. J. Phys., 59, 1991, 700.
338. Jaynes, E.T., IEEE Trans. Syst. Science & Cyb., 4, 1968, 227.
339. F.P.A. Coolen, On non-informativeness in a classical Bayesian inference problem, http://alexandria.tue.nl/repository/books/385233.pdf.
340. Skilling, J., Synthese, 63, 1985, 1.
341. Hughston, L.P., Jozsa, R., Wootters, W.K., Phys. Lett. A, 183, 1993, 14.
342. ’tHooft, G., Nuclear Phys. B, 72, 1974, 461.
343. Van hove, L., Physica, 23, 1957, 441.
344. Mello, P.A., Pereyra, P., Kumar, N., J. Stat. Phys., 51, 1998, 77.
345. L. Masanes, A.J. Roncaglia, A. Acin, The complexity of energy eigenstates as a mechanism for equilibration, arXiv:1108.0374.
346. F.G.S.L. Brandão, Piotr Ćwikliński, Michal Horodecki, et al., Convergence to equilibrium under a random Hamiltonian, arXiv:1108.2985.
347. Vinayak, M. Znidaric, Subsystem dynamics under random Hamiltonian evolution, arXiv:1107.6035.
348. Balian, R., Nuovo Cimento, 57B, 1968, 183.
349. Bohr, N., Discussion with Einstein on epistomological problems in atomic physics. Schilp, P.A., (eds.) Albert Einstein: Philosopher-Scientist The Library of Living Philosophers, 1949, Evanston, IL, 200–241 Reprinted in N. Bohr, Physics Uspekhi, 66, 571 (1958). See also N. Bohr, Dialectica 2, 312, 1948.
350. Murdoch, D., Niels Bohr's Philosophy of Physics. 1987, Cambridge University Press, Cambridge.
351. Petersen, A., The philosophy of Niels Bohr. The Bulletin of the Atomic Scientists(September), 1963.
352. Laughlin, R.B., A Different Universe: Reinventing Physics from the Bottom Down. 2005, Basic Books, New York.
353. Leonhardt, U., Measuring the Quantum State of Light. 1997, Cambridge University Press, Cambridge.
354. Boas, H.P., arXiv:math/9705204v1.
355. R. Bousso, L. Susskind, The Multiverse Interpretation of Quantum Mechanics, arXiv:1105.3796.
356. Penrose, R., The Emperor's New Mind. 1999, Oxford University Press, UK pp. 475–481.
357. Bell, J.S., Speakable and Unspeakable in Quantum Mechanics. 1988, Cambridge University Press, Cambridge.
358. Fuchs, C.A., Peres, A., Phys. Today, 53, 2000, 70.
359. Arndt, M., Nairz, O., Vos-Andreae, J., Keller, C., Van der zouw, G., Zeilinger, A., Nature, 401, 1999, 680.
360. Romero-Isart, O., Juan, M.L., Quidant, R., Cirac, J.I., New J. Phys., 12, 2010, 033015.
361. Blanchard, Ph., Lugiewicz, P., Olkiewicz, R., Phys. Lett. A, 314, 2003, 29.
362. Rubin, M.A., Found. Phys. Lett., 17, 2004, 323.
363. Rubin, M.A., Found. Phys., 33, 2003, 379.
364. Palacios-Laloy, A., et al. Nature Physics, 6, 2010, 442.
365. Gleyzes, S., Kuhr, S., Guerlin, C., et al. Nature, 446, 2007, 297.
366. Clerk, A.A., Girvin, S.M., Stone, A.D., Phys. Rev. B, 67, 2003, 165324.
367. Bushev, P., Rotter, D., Wilson, A., et al. Phys. Rev. Lett., 96, 2006, 043003.
368. Aharonov, Y., Albert, D.Z., Vaidman, L., Phys. Rev. Lett., 60, 1988, 1351.
369. Hofmann, H.F., Phys. Rev. A, 81, 2010, 012103.
370. Wiseman, H.M., New J. Phys., 9, 2007, 165.
371. Johansen, L.M., Phys. Lett. A, 366, 2007, 374.
372. Tollaksen, J., Aharonov, Y., Casher, A., Kaufherr, T., Nussinov, S., New J. Phys., 12, 2010, 013023.
373. Bauer, M., Bernard, D., Phys. Rev. A, 84, 2011, 044103.
374. M. Bauer, T. Benoist, D. Bernard, arXiv:1206.6045.
375. Lundeen, J.S., Sutherland, B., Patel, A., Stewart, C., Bamber, C., Nature, 474, 2011, 188.
376. Kocsis, S., Braverman, B., Ravets, S., et al. Science 332 (2011), 1170–1173.
377. Landau, L.D., Z. Phys., 45, 1927, 430.
378. Partovi, H.M., Phys. Lett. A, 137, 1989, 440.
379. Mityugov, V.V., Phys. Usp., 170, 2000, 681.
380. Brailovskii, A.B., Vaks, V.L., Mityugov, V.V., Phys. Usp., 166, 1996, 795.