Abstract
In their 1959 seminal paper Aharonov and Bohm showed, as Ehrenberg and Si-day earlier [1], that in quantum mechanics potentials have a significance that goes beyond that of a mere convenient mathematical tool, as is the case in classical mechanics. This essentially arises from the fact that in quantum mechanics the potentials themselves enter the Schrödinger equation, while in classical mechanics they affect the motion of particles only through their derivatives. To illustrate their conclusions Aharonov and Bohm (AB) proposed two effects in electron interference experiments: the electric or scalar AB effect, resulting from a non-zero electrostatic potential, and the magnetic or vector AB effect, resulting from a non-zero magnetic vector potential.
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References
Y. Aharonov and D. Bohm, “Significance of Electromagnetic Potentials in Quantum Theory”, in: Physical Review,115, 3, 1959, pp.485–491. W. Ehrenberg and R.E. Siday, “The Refractive Index in Electron Optics and the Principles of Dynamics”, in: Proc. Phys. Soc. London B,62, 1949, pp.8–2I.
Y. Aharonov, “Non-local Phenomena and the Aharonov-Bohm Effect”, in: Proc. lm. Symp. Foundations of Quantum Mechanics, Tokyo, 1983, pp. 10–19.
A. Zeilinger, “Generalized Aharonov-Bohm Experiments with Neutrons”, in: Vittorio Gorini and Alberto Frigerio (Eds.), Fundamental aspects of quantum theory. New York: Plenum Publishing Corporation, 1986, pp. 311–318.
B. E. Allman, A. Cimmino, A. G. Klein, and G. I. Opat, “Scalar Aharonov-Bohm Experiment with Neutrons”, in: Physical Review Letters, 68, 16, 1992, pp. 2409–2412.
G. Badurek, H. Weinfurter, R. Gähler, A. Kollmar, S. Wehinger, and A. Zeilinger, “Nondispersive Phase of the Aharonov-Bohm Effect”, in: Physical Review Letters, 71, 3, 1993, pp. 307–311.
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© 1999 Springer Science+Business Media Dordrecht
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van der Zouw, G., Zeilinger, A. (1999). Observation of the Nondispersivity of Scalar Aharonov-Bohm Phase Shifts by Neutron Interferometry. In: Greenberger, D., Reiter, W.L., Zeilinger, A. (eds) Epistemological and Experimental Perspectives on Quantum Physics. Vienna Circle Institute Yearbook [1999], vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1454-9_27
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