Quantum Paradoxes: Quantum Theory for the Perplexed

Quantum Paradoxes: Quantum Theory for the Perplexed

Volumn , Issue , 2008, Pages 1-289

  Aharonov, Yakir ^a,b   Rohrlich, Daniel ^c  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSITY OF SOUTH CAROLINA   (United States)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84889414451     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527619115     Document Type: Book

References (252)

1. R. P. Feynman, The Character of Physical Law (Cambridge, MA: M. I. T. Press), 1965, p. 129.
2. J. A. Wheeler, Trans. N. Y. Acad. Sci. 33 (1971) 745; cf. p. 778.
3. J. A. Wheeler with K. Ford, Geons, Black Holes and Quantum Foam (New York: W. W. Norton and Co.), 1998, pp. 312-15
4. J. D. Bekenstein, Phys. Rev. D7 (1973) 2333.
5. S. W. Hawking, Comm. Math. Phys. 43 (1975) 199.
6. See, for example, E. F. Taylor and J. A. Wheeler, Spacetime Physics, Second Edition (New York: W. H. Freeman and Co.), 1992, pp. 125-26
7. R. Clausius, "On the reduction of the second law of thermodynamics to general mechanical principles" in German, Pogg. Ann. 142 (1871) 433
8. cited in M. J. Klein, Amer. Sci. 58 (1970) 84.
9. L. Boltzmann, "On the mechanical meaning of the second law of thermodynamics" in German, Wiener Berichte 53 (1866) 195
10. cited in Klein, Op. cit.
11. L. Boltzmann, "On priority in discovering the relation between the second law of thermodynamics and the principle of least action" in German, Pogg. Ann. 143 (1871) 211
12. cited in Klein, Op. cit.
13. R. Clausius, "Remarks on Mr. Boltzmann's priority claim" in German, Pogg. Ann. 144 (1871) 265
14. cited in Klein, Op. cit.
15. J. C. Maxwell, letter to P. G. Tait, 1 December 1873, in C. G. Knott, Life and Scientific Work of Peter Guthrie Tait (Cambridge: Cambridge U. Press), 1911, pp. 114-16; cf. pp. 115-16
16. J. C. Maxwell, letter to P. G. Tait, 11 December 1867, in Knott, Op. cit., pp. 213-14; cf. p. 214.
17. M.Smoluchowski, in Vorträgeüber die kinetische Theorie der Materie und der Elektrizität (Leipzig: Teubner), 1914, pp. 87-121.
18. See also R. Feynman, R. Leighton and M. Sands, TheFeynman Lectures on Physics, Vol. I (Reading, MA: Addison-Wesley Pub. Co.) 1963, Chap. 46.
19. L. Szilard, Behav. Sci. 9 (1964) 301
20. trans. of L. Szilard, Z. Phys. 83 (1929) 840, reprinted in WZ pp. 539-548
21. L. Brillouin, J. Appl. Phys. 22 (1951) 334
22. C. H. Bennett, Int. J. Theor. Phys. 21 (1982) 905
23. all reprinted in H. S. Leff and A. F. Rex, Maxwell's Demon: Entropy, Information, Computing (Princeton: Princeton U. Press), 1990.
24. A. Einstein, Autobiographical Notes, trans. and ed. P. A. Schilpp (Chicago: Open Court Pub. Co.), 1979, pp. 49, 51.
25. M. Goldman, The Demon in the Aether (Edinburgh: P. Harris Pub.), 1983, pp. 202-3
26. J. C. Maxwell, A Treatise on Electricity and Magnetism, Vol. II (New York: Dover), 1954, pp. 241-43 (Articles 600 and 601).
27. N. Bohr, in Albert Einstein: Philosopher-Scientist, ed. Paul A. Schilpp (New York: Tudor Pub. Co.), 1951, pp. 201-41, reprinted in WZ pp. 9-49
28. M. Planck, letter to R. W. Wood, 7 October 1931
29. cited and trans. in A. Pais, Niels Bohr's Times, in Physics, Philosophy, and Polity (Oxford: Clarendon Press), 1991, p. 86.
30. A. Pais, Subtle is the Lord - the Science and the Life of Albert Einstein (Oxford: Clarendon Press), 1982, pp. 357, 383-86
31. W. Heisenberg, Z. Phys. 43 (1927) 172, trans. and reprinted in WZ, pp. 62-84
32. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (New York: McGraw Hill), 1965, pp. 2-9
33. A. Tonomura, J. Endo, T. Matsuda, T. Kawasaki and H. Ezawa, Am. J. Phys. 57 (1989) 117.
34. L. Rosenfeld, in Fundamental Problems in Elementary Particle Physics [Proceedings of the Fourteenth Solvay Conference on Physics, Brussels, October 1967] (London: Interscience), 1968, pp. 232-234; cf. p. 232.
35. F. A. Jenkins and H. E. White, Fundamentals of Optics (New York: McGraw-Hill), 1957, pp. 306-8
36. A. Einstein, B. Podolsky and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?" Phys. Rev. 47 (1935) 777, reprinted in WZ pp. 138-41
37. N. Bohr, "Can quantum-mechanical description of physical reality be considered complete?" Phys. Rev. 48 (1935) 696, reprinted in WZ pp. 145-51
38. The Born-Einstein Letters, ed. M. Born, trans. I. Born (New York: Walker), 1971, p. 223.
39. D. Bohm, Quantum Theory (NewYork: Prentice-Hall), 1951, pp. 611-23, reprinted inWZpp. 356-68.
40. SeeR. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics,Vol. I (Reading, MA: Addison-Wesley Pub. Co.), 1963, Sect. 33-3
41. See J. D. Jackson, Classical Electrodynamics, Second Edition (New York: Wiley), 1975, pp. 269-78
42. Feynman, Leighton and Sands, Op. cit., Sect. 33-1
43. C. S. Wu and I. Shaknov, Phys. Rev. 77 (1950) 136.
44. D. Bohm and Y. Aharonov, Phys. Rev. 108 (1957) 1070.
45. J. S. Bell, Physics 1 (1964) 195, reprinted in WZ pp. 403-8
46. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23 (1969) 880, reprinted in WZ pp. 409-13
47. A. Aspect, J. Dalibard, and G. Roger, Phys. Rev. Lett. 49 (1982) 1804.
48. G.Wiehs, T. Jennewein, C. Simon, H.Weinfurter and A. Zeilinger, Phys. Rev. Lett. 81 (1998) 5039.
49. D. M. Greenberger, M. Horne, and A. Zeilinger, in Bell's Theorem, Quantum Theory, and Conceptions of the Universe Proceedings of the Fall Workshop, Fairfax, Virginia, October 1988], ed. M. Kafatos (Dordrecht: Kluwer Academic Pub.), 1989, pp. 69-72
50. S. Popescu and D. Rohrlich, Phys. Lett. A166 (1992) 293.
51. J. Bernstein, Quantum Profiles (Princeton: Princeton U. Press), 1991, p. 84.
52. D. Bohm, Phys. Rev. 85 (1952) 166 and 180, reprinted in WZ pp. 369-82 and 383-96
53. Y. Aharonov and D. Bohm, Phys. Rev. 115 (1959) 485.
54. See also W. Ehrenberg and R. E. Siday, Proc. Phys. Soc. (London) B62 (1949) 8.
55. R. G. Chambers, Phys. Rev. Lett. 5 (1960) 3
56. A. Tonomura, N. Osakabe, T. Matsuda, T. Kawasaki, J. Endo, S. Yano and H. Yamada, Phys. Rev. Lett. 56 (1986) 792. For a review of these and related experiments see M. Peshkin and A. Tonomura, The Aharonov-Bohm Effect (Berlin: Springer- Verlag), 1989.
57. W. H. Furry and N. F. Ramsey, Phys. Rev. 118 (1960) 623.
58. B. S. Deaver, Jr. and W. M. Fairbank, Phys. Rev. Lett. 7 (1961) 43
59. N. Byers and C. N. Yang, Phys. Rev. Lett. 7 (1961) 46
60. R. Doll and M. Näbauer, Phys. Rev. Lett. 7 (1961) 51.
61. R. A. Webb, S. Washburn, C. P. Umbach and R. B. Laibowitz, Phys. Rev. Lett. 54 (1985) 2696.
62. C. N. Yang and R. L. Mills, Phys. Rev. 96 (1954) 191.
63. D. Wisnivesky and Y. Aharonov, Ann. Phys. 45 (1967) 479
64. T. T. Wu and C. N. Yang, Phys. Rev. D12 (1975) 3845.
65. E. Madelung, Z. Phys. 40 (1926) 322
66. L. Jánossy, Z. Phys. 169 (1962) 79
67. G. Casati and I. Guarneri, Phys. Rev. Lett. 42 (1979) 1579.
68. Y. Aharonov, H. Pendleton and A. Petersen, Int. J. Theor. Phys. 2 (1969) 213.
69. H.Weyl, The Theory of Groups and Quantum Mechanics, trans. H. P. Robertson (New York: Dover) 1931, Sect. 14 (pp. 272-76)
70. see also J. Zak, Phys. Rev. Lett. 19 (1967) 1385.
71. Y. Aharonov and T. Kaufherr, Phys. Rev. Lett. 92 (2004) 070404.
72. I. Newton, letter to R. Bentley, 25 February 1693, in The Correspondence of Isaac Newton, Vol. III, ed. H.W. Turnbull (Cambridge: Cambridge U. Press), 1961, pp. 253-56, cf. p. 254; punctuation and spelling edited.
73. A. Shimony, in Foundations of Quantum Mechanics in Light of New Technology Proceedings of the International Symposium, Tokyo, August 1983], eds. S. Kamefuchi, H. Ezawa, Y. Murayama, M. Namiki, S. Nomura, Y. Ohnuki and T. Yajima (Tokyo: Physical Society of Japan), 1984, pp. 225-30; cf. p. 227.
74. Y. Aharonov, in Kamefuchi et al., Op. cit., pp. 10-19
75. A. C. Elitzur and L. Vaidman, Found. Phys. 23 (1993) 987
76. P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger and M. A. Kasevich, Phys. Rev. Lett. 74 (1995) 4763
77. P. Kwiat, H. Weinfurter and A. Zeilinger, Sci. Am. 275, no. 5 (1996) 72.
78. See, for example, L. I. Schiff, Quantum Mechanics, Third Edition (New York: McGraw-Hill), 1968, pp. 282-84
79. See, for example, J. D. Jackson, Classical Electrodynamics, Second Edition (New York: Wiley), 1975, p. 186.
80. J. Von Neumann, Mathematical Foundations of Quantum Mechanics, trans. R. T. Beyer (Princeton: Princeton U. Press), 1955; Chaps. V-VI reprinted in WZ pp. 549-647
81. L. Rosenfeld, in Niels Bohr and the Development of Physics, ed. W. Pauli (London: Pergamon Press), 1955, pp. 70-95, cf. p. 70; cited in WZ p. 477.
82. L. Landau and R. Peierls, Z. Phys. 69 (1931) 56
83. trans. in Collected Papers of Landau, ed. D. ter Haar (New York: Gordon and Breach), 1965, pp. 40-51, reprinted in WZ pp. 465-76
84. See A. Pais, Niels Bohr's Times in Physics, Philosophy, and Polity (Oxford: Clarendon Press), 1991, p. 359, and L. Rosenfeld, Op. cit., p. 77.
85. N. Bohr and L. Rosenfeld, Det Kgl. Danske Vid. Selsk. Mat.-fys. Medd. 12, no. 8 (1933); trans. by A. Petersen in Selected Papers of Léon Rosenfeld, eds. R. S. Cohen and J. Stachel (Dordrecht: Reidel), 1979, pp. 357-400, and reprinted in WZ pp. 479-522
86. Y. Aharonov and D. Bohm, Phys. Rev. 122 (1961) 1649, reprinted in WZ pp. 715-24
87. Y. Aharonov and J. L. Safko, Ann. Phys. 91 (1975) 279.
88. See, for example, J. D. Jackson, Classical Electrodynamics, Second Edition (New York: Wiley), 1975, pp. 219-23
89. Y. Aharonov, S. Massar and S. Popescu, Phys. Rev. A66 (2002) 052107;
90. see also A. M. Childs, J. Preskill and J. Renes, J. Mod. Optics 47 (2000) 155.
91. See, for example, Jackson, Op. cit., p. 659.
92. Landau and Peierls, Op. cit., Eq. (6).
93. Bohr and Rosenfeld, Op. cit.
94. See R. P. Feynman, "The reason for antiparticles," in Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures (Cambridge: Cambridge U. Press), 1987, pp. 1-59
95. R. F. Streator and A. S. Wightman, PCT, Spin and Statistics, and All That (New York: W. A. Benjamin), 1964.
96. See Sect. 4 of Aharonov and Bohm, Op. cit.
97. See Jackson, Op. cit., p. 223.
98. See H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51 (1948) 793
99. S. K. Lamoreaux, Phys. Rev. Lett. 78 (1997) 5
100. U. Mohideen and A. Roy, Phys. Rev. Lett. 81 (1998) 4549.
101. E. Schrödinger, Naturwiss. 48 (1935) 807, 823 and 844
102. cited and trans. by J. M. Jauch, Foundations of Quantum Mechanics (Reading, MA: Addison-Wesley Pub. Co.), 1968, p. 185. See also trans. in Proc. Am. Phil. Soc. 124 (1980) 323, cf. p. 328; reprinted in WZ pp. 152-167, cf. p. 157.
103. E. P.Wigner, in The Scientist Speculates, ed. I. J. Good (London: Heinemann) 1961, pp. 284-302
104. reprinted in E. P. Wigner, Symmetries and Reflections (Bloomington: Indiana U. Press), 1967, Chap. 13 and in WZ pp. 168-81
105. R. Penrose, The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics (New York: Oxford U. Press), 1989, Chap. 6.
106. L. Diosi, Phys. Rev. A40 (1989) 1165.
107. G. C. Ghirardi, A. Rimini and T.Weber, Phys. Rev. D34 (1986) 470 and D36 (1987) 3287
108. P. Pearle, Phys. Rev. A39 (1989) 2277
109. G. C. Ghirardi, P. Pearle and A. Rimini, Phys. Rev. A42 (1990) 78.
110. P. Pearle, Phys. Rev. A59 (1999) 80.
111. H. Everett, III, Rev. Mod. Phys. 29 (1957) 454, reprinted in WZ pp. 315-23
112. J. A. Wheeler, Rev. Mod. Phys. 29 (1957) 463.
113. G. Orwell, Animal Farm (Scranton, PA: Harcourt. Brace and Co.), 1946, p. 112.
114. N. Bohr, in Albert Einstein: Philosopher-Scientist, ed. P. A. Schilpp (New York: Tudor Pub. Co.), 1951, pp. 201-44, cf. pp. 222-23; reprinted in WZ pp. 9-49, cf. pp. 30-31
115. J. H. Christenson, J. W. Cronin, V. L. Fitch and R. Turlay, Phys. Rev. Lett. 13 (1964) 138.
116. L. Vaidman, Y. Aharonov and D. Z. Albert, Phys. Rev. Lett. 58 (1987) 1385
117. Y. Aharonov and L.Vaidman, J. Phys. A: Math. Gen. 24 (1991) 2315
118. O. Schulz, R. Steinhübl, M.Weber, B.-G. Englert, C. Kurtsiefer and H. Weinfurter, Phys. Rev. Lett. 90 (2003) 177901.
119. E. P. Wigner, Gött. Nachr. 31 (1932) 546.
120. Y. Aharonov, P. G. Bergmann and J. L. Lebowitz, Phys. Rev. 134 (1964) B1410, reprinted in WZ pp. 680-86
121. W. J. Cocke, Phys. Rev. 160 (1967) 1165
122. L. S. Schulman, Phys. Rev. D7 (1973) 2868
123. L. S. Schulman and R. Shtockhamer, Int. J. Theor. Phys. 16 (1977) 287
124. M. Gell-Mann and J. B. Hartle, in Physical Origins of Time Asymmetry [Proceedings of a NATO Advanced Research Workshop in Mazagon, Spain, September-October 1991], eds. J. J. Halliwell, J. Pérez-Mercader andW. H. Zurek (Cambridge: Cambridge U. Press), 1994, pp. 311-45
125. J. Anandan and Y. Aharonov, Found. Phys. Lett. 12 (1999) 571.
126. Aharonov and Vaidman, Op. cit.
127. G. C. Wick, A. S. Wightman and E. P. Wigner, Phys. Rev. 88 (1952) 101.
128. See, for example, R. P. Feynman, in Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures (Cambridge: Cambridge U. Press), 1987, pp. 1-59
129. See Feynman, Op. cit.
130. R. F. Streator and A. S. Wightman, PCT, Spin and Statistics, and All That (New York: W. A. Benjamin), 1964.
131. Y. Aharonov and L. Susskind, Phys. Rev. 158 (1967) 1237.
132. Y. Aharonov and L. Susskind, Phys. Rev. 155 (1967) 1428.
133. W. Heisenberg, Physics and Beyond (New York: Harper and Row), 1971, pp. 73-76
134. J. von Neumann, Mathematical Foundations of Quantum Mechanics, trans. R. T. Beyer (Princeton: Princeton U. Press), 1955, pp. 365-67
135. B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18 (1977) 756.
136. See A. Messiah, Quantum Mechanics, Vol. II, trans. J. Potter (Amsterdam: North-Holland), 1963, Chap. XVII, Sects. 10-12
137. M. V. Berry, Proc. R. Soc. Lond., A392 (1984) 45.
138. M. Born and J. R. Oppenheimer, Ann. Phys. (Leipzig) 84 (1927) 457
139. see also C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70 (1979) 2284.
140. For example, suppose the Rj commute. Let δ(R-R0)|Ψi(R0)〉 be an eigenstate of the operator R with eigenvalue R0, and also an eigenstate of Hf (R0) with eigenvalue Ei. Then Πi is the projector onto the subspace of all states δ(R - R0) |Ψi(R0)〉 for a fixed i.
141. Y. Aharonov, E. Ben-Reuven, S. Popescu and D. Rohrlich, Phys. Rev. Lett. 65 (1990) 3065
142. Y. Aharonov, E. Ben-Reuven, S. Popescu and D. RohrlichPhys. Rev. Lett. 69 (1992) 863
143. Y. Aharonov, S. Popescu, and D. Rohrlich, Mod. Phys. Lett. A8 (1993) 3691.
144. F. Wilczek and A. Zee, Phys. Rev. Lett. 52 (1984) 2111
145. A. Zee, Phys. Rev. A38 (1988) 1.
146. R. P. Feynman, Rev. Mod. Phys. 20 (1948) 367
147. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (New York: McGraw-Hill), 1965.
148. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58 (1987) 1593.
149. Y. Aharonov and M. Vardi, Phys. Rev. D21 (1980) 2235.
150. J. H. Hannay, J. Phys. A: Math. Gen. 18 (1985) 221
151. M. V. Berry, J. Phys. A: Math. Gen. 18 (1985) 15.
152. Y. Aharonov and A. Stern, Phys. Rev. Lett. 69 (1992) 3593.
153. See V. I. Arnold, Mathematical Methods of Classical Mechanics, Second Edition, trans. K. Vogtmann and A. Weinstein (New York: Springer), 1978, pp. 297-300 and 412-15
154. Y. Aharonov, E. Ben-Reuven, S. Popescu, and D. Rohrlich, Nucl. Phys. B350 (1991) 818.
155. P. Penfield, Jr. and H. A. Haus, Electrodynamics of Moving Media (Cambridge, MA: M. I. T. Press), 1967
156. H. A. Haus and P. Penfield, Jr., Phys. Lett. A26 (1968) 412
157. W. Shockley and R. P. James, Phys. Rev. Lett. 18 (1967) 876.
158. See also S. Coleman and J. H. Van Vleck, Phys. Rev. 171 (1968) 1370.
159. See R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics,Vol. II (Reading, MA: Addison-Wesley Pub. Co.), 1964, Sect. 17-4 and p. 27-11
160. Y. Aharonov and A. Casher, Phys. Rev. Lett. 53 (1984) 319.
161. A. Cimmino, G. I. Opat, A. G. Klein, H. Kaiser, S. A. Werner, M. Arif and R. Clothier, Phys. Rev. Lett. 63 (1989) 380.
162. See J. D. Jackson, Classical Electrodynamics, Second Edition (New York: Wiley), 1975, p. 552.
163. See L. Vaidman, Am. J. Phys. 58 (1990) 978
164. V. Hnizdo, Am. J. Phys. 60 (1992) 279.
165. Y. Aharonov, P. Pearle and L. Vaidman, Phys. Rev. A37 (1988) 4052.
166. T. H. Boyer, Phys. Rev. A36 (1987) 5083.
167. L. de Broglie, New Perspectives in Physics, trans. A. J. Pomerans (New York: Basic Books), 1962, p. 150, cited in WZ p. viii
168. see also A. Pais, Niels Bohr's Times in Physics, Philosophy, and Polity (Oxford: Clarendon Press), 1991, pp. 318-19
169. K.-E. Hellwig and K. Kraus, Phys. Rev. D1 (1970) 566.
170. L. Landau and R. Peierls, Z. Phys. 69 (1931) 56
171. trans. in Collected Papers of L. D. Landau, ed. D. ter Haar (Oxford: Pergamon Press), 1965, pp. 40-51, reprinted in WZ pp. 465-76
172. Y. Aharonov and D. Z. Albert, Phys. Rev. D24 (1981) 359.
173. Aharonov and Albert, Op. cit.
174. Y. Aharonov and D. Z. Albert, Phys. Rev. D21 (1980) 3316.
175. Y. Aharonov, D. Z. Albert and L. Vaidman, Phys. Rev. D34 (1986) 1805
176. S. Popescu and L. Vaidman, Phys. Rev. A49 (1994) 4331.
177. S. Popescu and D. Rohrlich, Phys. Rev. A56 (1997) R3319.
178. Y. Aharonov and D. Z. Albert, Phys. Rev. D29 (1984) 228.
179. G. C. Ghirardi, R. Grassi and P. Pearle, Found. Phys. 20 (1990) 1271
180. P. Pearle, Phys. Rev. A59 (1999) 80.
181. E. Schrödinger, Science, Theory and Man (London: Allen and Unwin), 1957, p. 177.
182. See also H. Goldstein, Classical Mechanics (Reading, MA: Addison-Wesley Pub. Co.), 1950, Sect. 9-8
183. M. Born, Gött. Nachr. (1926) 146, cited and trans. in A. Pais, Niels Bohr's Times: in Physics, Philosophy and Polity (New York: Oxford U. Press), 1991, p. 286.
184. SeeR. P. Feynman, F. Morinigo and W.Wagner, Feynman Lectures on Gravitation, ed. B. Hatfield (Reading, MA: Addison-Wesley Pub. Co.) 1995, pp. 11-12
185. Schrödinger, Op. cit., pp. 195-96
186. See, for example, L. I. Schiff, Quantum Mechanics, Third Edition (New York: McGraw-Hill), 1968, p. 246.
187. Y. Aharonov and L.Vaidman, Phys. Lett. A178 (1993) 38
188. Y. Aharonov, J. Anandan and L.Vaidman, Phys. Rev. A47 (1993) 4616.
189. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, Third Edition, trans. J. B. Sykes and J. S. Bell (Oxford: Butterworth-Heinemann), 1977, Sect. 53
190. A. M. Dykhne, Soviet Physics JETP 14 (1962) 941.
191. N. Rosen and C. Zener, Phys. Rev. 40 (1932) 502.
192. O. Klein, Z. Phys. 53 (1929) 157
193. see also J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (New York: McGraw-Hill), 1964, p. 40.
194. Y. Aharonov and L. Vaidman, in Quantum Control and Measurement [Proceedings of the ISQM Satellite Workshop, Saitama, Japan, August 1992], eds. H. Ezawa and Y. Murayama (Amsterdam: Elsevier Science Pub.), 1993, pp. 99-106
195. J. Anandan, Found. Phys. Lett. 6 (1993) 503.
196. Y. Aharonov, S. Popescu, D. Rohrlich, and L. Vaidman, Phys. Rev. A48 (1993) 4084.
197. Y. Aharonov, D. Albert, and L. Vaidman, Phys. Rev. Lett. 60 (1988) 1351.
198. Y. Aharonov, D. Albert, and L. Vaidman, Op. cit.
199. I. M. Duck, P. M. Stevenson and E. C. G. Sudarshan, Phys. Rev. D40 (1989) 2112
200. N.W. M. Ritchie, J. G. Story and R. G. Hulet, Phys. Rev. Lett. 66 (1991) 1107
201. A. D. Parks, D. W. Cullin and D. C. Stoudt, Proc. R. Soc. Lond. A454 (1998) 2997
202. D. R. Solli, C. F. McCormick, R. Y. Chiao, S. Popescu and J. M. Hickmann, Phys. Rev. Lett. 92 (2004) 043601.
203. A. M. Steinberg, Phys. Rev. Lett. 74 (1995) 2405
204. J. Ruseckas and B. Kaulakys, Phys. Rev. A66 (2002) 052106.
205. H. M. Wiseman, Phys. Lett. A311 (2003) 285.
206. Solli et al., Op. cit.
207. S. E. Ahnert and M. C. Payne, Phys. Rev. A69 (2004) 042103.
208. K. J. Resch, J. S. Lundeen and A. M. Steinberg, Phys. Lett. A324 (2004) 125.
209. Y. Aharonov, S. Massar, S. Popescu, J. Tollaksen and L. Vaidman, Phys. Rev. Lett. 77 (1996) 983
210. Y. Aharonov and L. Vaidman, in Potentiality, Entanglement and Passion-at-a-Distance, eds. R. S. Cohen, M. Horne and J. Stachel (Dordrecht: Kluwer Academic Pub.) 1997, pp. 1-8
211. M. V. Berry, in Quantum Coherence and Reality Proceedings of the International Conference on Fundamental Aspects of Quantum Theory, Columbia, South Carolina, December 1992], eds. J. S. Anandan and J. L. Safko (Singapore: World Scientific), 1994, pp. 55-65
212. M. V. Berry, J. Phys. A: Math. Gen. 27 (1994) L391
213. A. Kempf, J. Math. Phys. 41 (2000) 2360.
214. Y. Aharonov, L. Davidovich and N. Zagury, Phys. Rev. A48 (1993) 1687.
215. D. Rohrlich and Y. Aharonov, Phys. Rev. A66 (2002) 042102.
216. Y. Aharonov and L. Vaidman, Phys. Rev. A41 (1990) 11.
217. L. Hardy, Phys. Rev. Lett. 68 (1992) 2981
218. Y. Aharonov, A. Botero, S. Popescu, B. Reznik and J. Tollaksen, Phys. Lett. A301 (2002) 130.
219. L. Carroll C. L. Dodgson, Alice's Adventures in Wonderland, reprinted in The Annotated Alice, ed. M. Gardner (London: Penguin Books), 1965, pp. 90-91
220. H. Rauch, W. Treimer and U. Bonse, Phys. Lett. A47 (1974) 369.
221. M. Hillery, R. F. O'Connell, M. O. Scully and E. P. Wigner, Phys. Rep. 106 (1984) 121.
222. J. D. Jackson, Classical Electromagnetism, Second Edition (New York: Wiley), 1975, pp. 267-68
223. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, trans. and ed. A. Jeffrey (San Diego: Academic Press), 1980, p. 414.
224. Y. Aharonov, F. T.Avignone III and S. Nussinov, Phys. Rev. D39 (1989) 2448
225. Y. Aharonov, B. Reznik and A. Stern, Phys. Rev. Lett. 81 (1998) 2190.
226. Y. Aharonov, B. Reznik and D. Rohrlich, unpublished.
227. K. Mølmer, Phys. Lett. A292 (2001) 151.
228. S. E. Ahnert and M. C. Payne, Phys. Rev. A70 (2004) 042102.
229. Michael Berry, in Introduction to Quantum Computation and Information; eds. H.-K. Lo, S. Popescu and T. P. Spiller (Singapore: World Scientific), 1998, pp. 5-7, cf. p. 5.
230. R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics, Vol. III (Reading, MA: Addison-Wesley Pub. Co.), 1965, p. 1-9
231. M. Born, Z. Phys. 37 (1926) 863
232. M. Born Nature 119 (1927) 354.
233. D. Finkelstein, Trans. N. Y. Acad. Sci. 25 (1963) 621
234. J. B. Hartle, Am. J. Phys. 36 (1968) 704
235. E. Farhi, J. Goldstone and S. Gutmann, Ann. Phys. 192 (1989) 368
236. S. Gutmann, Phys. Rev. A52 (1995) 3560.
237. E. J. Squires, Phys. Lett. A145 (1990) 67
238. C. M. Caves and R. Schack, Ann. Phys. 315 (2005) in print.
239. Y. Aharonov and B. Reznik, Phys. Rev. A65 (2002) 052116
240. J. Finkelstein, Phys. Rev. A67 (2003) 026101.
241. Y. Aharonov and E. Gruss, in preparation.
242. Mishna: Avot 3:15 (in some editions 3:19).
243. H. Price, Time's Arrow & Archimedes' Point: New Directions for the Physics of Time (New York: Oxford U. Press), 1996.
244. B. S. Cirel'son Tsirelson, Lett. Math. Phys. 4 (1980) 93.
245. S. Popescu and D. Rohrlich, Found. Phys. 24 (1994) 379.
246. D. Dieks, Phys. Rev. A66 (2002) 062104
247. H. Buhrman and S. Massar, in preparation.
248. J. Grunhaus, S. Popescu and D. Rohrlich, Phys. Rev. A53 (1996) 3781.
249. A. Petersen, Bull. Atom. Sci. 19 no. 7 (1963) 8; cf. p. 12.
250. N. D. Mermin, Phys. Today 57, no. 2 (2004) 10.
251. A. H. Maslow, The Psychology of Science: A Reconnaissance (New York: Harper and Row), 1966, pp. 15-16
252. R. Godement, Algebra (London: Kershaw Pub. Co.), 1969, p. 16.fa