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Protective measurements and Bohm trajectories. (English) Zbl 0949.81006

Phys. Lett., A 263, No. 3, 137-146 (1999); erratum ibid. 266, No. 2-3, 216-217 (2000).
Summary: The authors consider a protective measurement on a particle in a box and find that the particle participates in a local interaction although its Bohm trajectory never comes near the interaction region. This confirms earlier results to the same extent for von Neumann measurements and weak measurements, and challenges any realistic interpretation of Bohm trajectories.

MSC:

81P15 Quantum measurement theory, state operations, state preparations
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[1] D. Bohm, Part I, Phys. Rev. 85 (1952) 166; Part II, 85 (1952) 180.; D. Bohm, Part I, Phys. Rev. 85 (1952) 166; Part II, 85 (1952) 180.
[2] P.R. Holland, The Quantum Theory of Motion, Cambridge University Press, Cambridge, 1993.; P.R. Holland, The Quantum Theory of Motion, Cambridge University Press, Cambridge, 1993.
[3] Englert, B.-G.; Scully, M. O.; Süssmann, G.; Walther, H., Z. Naturforsch., 47a, 1175 (1992)
[4] Scully, M. O.; Englert, B.-G.; Schwinger, J., Phys. Rev. A, 40, 1775 (1989)
[5] Y. Aharonov, L. Vaidman, About position measurements which do not show the Bohmian particle position, in: J.T. Cushing, A. Fine, S. Goldstein, Bohmian Mechanics and Quantum Theory: An Appraisal, Kluwer, Dordrecht, 1996, pp. 141-154.; Y. Aharonov, L. Vaidman, About position measurements which do not show the Bohmian particle position, in: J.T. Cushing, A. Fine, S. Goldstein, Bohmian Mechanics and Quantum Theory: An Appraisal, Kluwer, Dordrecht, 1996, pp. 141-154.
[6] Aharonov, Y.; Albert, D. Z.; Vaidman, L., Phys. Rev. Lett., 60, 1351 (1988)
[7] Dürr, D.; Fusseder, W.; Goldstein, S.; Zanghi, N., Z. Naturforsch., 48a, 1261 (1993)
[8] Dewdney, C.; Hardy, L.; Squires, E. J., Phys. Lett. A, 184, 6 (1993)
[9] Berndl, K.; Daumer, M.; Dürr, D.; Goldstein, S.; Zanghi, N., Nuovo Cimento, 110B, 737 (1995)
[10] Brown, H. R.; Dewdney, C.; Horton, G., Found. Phys., 25, 329 (1995)
[11] Scully, M. O., Phys. Scripta T, 76, 41 (1998)
[12] P.R. Holland, in a letter to BGE of November 10, 1998.; P.R. Holland, in a letter to BGE of November 10, 1998.
[13] Aharonov, Y.; Vaidman, L., Phys. Lett. A, 178, 38 (1993)
[14] Aharonov, Y.; Anandan, J.; Vaidman, L., Phys. Rev. A, 47, 4616 (1993)
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