Abstract
For a believer in locality of Nature, the Aharonov-Bohm effect and the Aharonov-Casher effect are paradoxes. I discuss these and other Aharonov’s paradoxes and propose a local explanation of these effects. If the solenoid in the Aharonov-Bohm effect is treated quantum mechanically, the effect can be explained via local interaction between the field of the electron and the solenoid. I argue that the core of the Aharonov-Bohm and the Aharonov-Casher effects is that of quantum entanglement: the quantum wave function describes all systems together. [Editor’s note: for a video of the talk given by Prof. Vaidman at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-21.]
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Y. Aharonov, D. Albert, Phys. Rev. D 21, 3316 (1980)
Y. Aharonov, D. Albert, Phys. Rev. D 24, 359 (1981)
Y. Aharonov, D. Albert, L. Vaidman, Phys. Rev. D 34, 1805 (1986)
L. Vaidman, Phys. Rev. Lett. 90, 010402 (2003)
H. Everett III, Rev. Mod. Phys. 29, 454 (1957)
L. Vaidman, Many-worlds interpretation of quantum mechanics, in Stan. Enc. Phil., ed. by E.N. Zalta (2002). http://plato.stanford.edu/entries/qm-manyworlds/
Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)
P. Grangier, G. Roger, A. Aspect, Europhys. Lett. 1, 173 (1986)
Y. Aharonov, L. Vaidman, Phys. Rev. A 61, 052108 (2000)
Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)
T. Boyer, Phys. Rev. A 36, 5083 (1987)
Y. Aharonov, P. Pearle, L. Vaidman, Phys. Rev. A 37, 4052 (1988)
L. Vaidman, Am. J. Phys. 58, 978 (1990)
W. Shockley, R.P. James, Phys. Rev. Lett. 18, 876 (1967)
M. Mansuripur, Phys. Rev. Lett. 108, 193901 (2012)
L. Vaidman, Phys. Rev. A 86, 040101 (2012)
L. Vaidman, Aharonov-bohm effect, in Hebrew Encyclopedia (1994), supplementary volume III (in Hebrew)
Y. Aharonov, T. Kaufherr, S. Nussinov, J. Phys. Conf. Ser. 173, 012020 (2009)
A. Tonomura et al., Phys. Rev. Lett. 56, 792 (1986)
Acknowledgements
I thank Shmuel Nussinov for useful discussions. This work has been supported in part by the Binational Science Foundation Grant No. 32/08 and the Israel Science Foundation Grant No. 1125/10,
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Italia
About this paper
Cite this paper
Vaidman, L. (2014). Paradoxes of the Aharonov-Bohm and the Aharonov-Casher Effects. In: Struppa, D., Tollaksen, J. (eds) Quantum Theory: A Two-Time Success Story. Springer, Milano. https://doi.org/10.1007/978-88-470-5217-8_15
Download citation
DOI: https://doi.org/10.1007/978-88-470-5217-8_15
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-5216-1
Online ISBN: 978-88-470-5217-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)