Abstract
A setup that entails nonuniqueness in the quantum prediction of the arrival/transit time distribution is analysed using the Bohmian model, implying the plausibility of two distinct calculational schemes having empirically distinguishable predictions. One of them agrees with the results obtained from the probability current density based approach that has been suggested for predicting the quantum arrival/transit time distribution.
Similar content being viewed by others
References
Muga, J.G., Leavens, C.R.: Phys. Rep. 338, 353 (2000)
Muga, J.G., Sala Mayato, R., Egusquiza, I.L.: Time in Quantum Mechanics. Springer, Berlin (2002)
Pan, A.K., Ali, Md.M., Home, D.: Phys. Lett. A 352, 296 (2006)
Bohm, D.: Phys. Rev. 85, 166 (1952)
Bohm, D.: Phys. Rev. 85, 180 (1952)
Bohm, D.: Phys. Rev. 89, 458 (1953)
Bohm, D., Hiley, B.J.: The Undivided Universe. Routledge, London (1993)
Holland, P.R.: The Quantum Theory of Motion. Cambridge University Press, Cambridge (1993)
Berndl et al..: Nuovo Cimento B 110, 737 (1995)
Cushing, J.T., Fine, A., Goldstein, S.: Bohmian Mechanics and Quantum Theory: An Appraisal. Kluwer Academic, Dordrecht (1996)
Leavens, C.R.: Phys. Lett. A 178, 27 (1993)
McKinnon, W.R., Leavens, C.R.: Phys. Rev. A 51, 2748 (1995)
Muga, J.G., Brouard, S., Macias, D.: Ann. Phys. 240, 351 (1995)
Muga, J.G., Sala Mayato, R., Palao, J.P.: Superlattices Microstruct. 23, 833 (1998)
Delgado, V.: Phys. Rev. A 59, 1010 (1999)
Finkelstein, J.: Phys. Rev. A 59, 3218 (1999)
Mousavi, S.V., Golshani, M.: J. Phys. A 41, 375304 (2008)
Ali, Md.M., Majumdar, A.S., Home, D., Sengupta, S.: Phys. Rev. A 68, 042105 (2003)
Brouard, S., Sala Mayato, R., Muga, J.G.: Phys. Rev. A 49, 4312 (1994)
Yamada, N., Takagi, S.: Prog. Theor. Phys. 86, 599 (1991)
Sokolovski, D., Baskin, L.M.: Phys. Rev. A 36, 4604 (1987)
Kijowski, J.: Rep. Math. Phys. 6, 361 (1974)
Halliwell, J.J., Zafiris, E.: Phys. Rev. D 57, 3351 (1998)
Grot, N., Rovelli, C., Tate, R.S.: Phys. Rev. A 54, 4676 (1996)
Delgado, V., Muga, J.G.: Phys. Rev. A 56, 3425 (1997)
Giannitrapani, R.: Int. J. Theor. Phys. 36, 1575 (1997)
Aharonov, Y., Bohm, D.: Phys. Rev. 122, 1649 (1961)
Baz, A.I.: Sov. J. Nucl. Phys. 5, 161 (1967)
Buttiker, M.: Phys. Rev. B 27, 6178 (1983)
Holland, P.: Phys. Rev. A 60, 4326 (1999)
Holland, P.: Ann. Phys. (Leipz.) 12, 446 (2003)
Golshani, M., Akhavan, O.: J. Phys. A, Math. Gen. 34, 5259 (2001)
Ghose, P.: Pramāna 59, 2 (2002)
Brida, G., Cagliero, E., Falzetta, G., Genovese, M., Gramegna, M., Novero, C.: J. Phys. B, At. Mol. Opt. Phys. 35, 4751 (2002)
Struyve, W., De Baere, W., De Neve, J., De Weirdt, S.: J. Phys. A, Math. Gen. 36, 1525 (2003)
Cushing, J.T.: Quantum Mechanics. University of Chicago Press, Chicago (1994), Chap. 4
Holland, P.R.: The Quantum Theory of Motion, pp. 161–162. Cambridge University Press, Cambridge (1993)
Leavens, C.: Phys. Rev. A 58, 840 (1998)
Kreidl, S., Gruebl, G., Embacher, H.G.: J. Phys. A, Math. Gen. 36, 8851 (2003)
Williams, W.G.: Polarized Neutrons. Clarendon, Oxford (1988)
Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics, pp. 111–116. Cambridge University Press, Cambridge (1987)
Pauli, W.: In: George, A. (ed.) Louis de Broglie, Physicien et Penseur, pp. 33–42. Editions Albin Michel, Paris (1953)
Heisenberg, W.: In: Pauli, W. (ed.) Niels Bohr and the Development of Physics, pp. 12–29. Pergamon, Oxford (1955)
Falck, J.P., Hauge, E.H.: Phys. Rev. B 38, 3287 (1988)
Hauge, E.H., Stovneng, J.A.: Rev. Mod. Phys. 61, 917 (1989)
Krenzlin, H.M., Budczies, J., Kehr, K.W.: Phys. Rev. A 53, 3749 (1996)
Allman, B.E., Cimmino, A., Klein, A.G., Opat, G.I., Kaiser, H., Werner, S.S.: Phys. Rev. Lett. 68, 2409 (1992)
Lee, W.-T., Motrunich, O., Allman, B.E., Werner, S.A.: Phys. Rev. Lett. 80, 3165 (1998)
Roy, S.M., Singh, V.: Mod. Phys. Lett. A 10, 709 (1995)
Roy, S.M., Singh, V.: Phys. Lett. A 255, 201 (1999)
Roy, S.M., Singh, V.: Pramāna 59, 337 (2002)
Holland, P.: Found. Phys. 28, 881 (1998)
Holland, P.: Ann. Phys. (NY) 315, 503 (2005)
Holland, P.: Proc. R. Soc. A 461, 3659 (2005)
Deotto, E., Ghirardi, G.C.: Found. Phys. 28, 1 (1998)
Shimony, A.: In: Cushing, J.T., McMullin, E. (eds.) Philosophical Consequences of Quantum Theory: Reflections on Bell’s Theorem, pp. 25–37. Notre Dame University Press, Notre Dame (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pan, A.K., Home, D. On Empirical Scrutiny of the Bohmian Model Using a Spin Rotator and the Arrival/Transit Time Distribution. Int J Theor Phys 51, 374–389 (2012). https://doi.org/10.1007/s10773-011-0914-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0914-8