The Classical Limit of the Aharonov-Bohm Effect

Timothy H. Boyer

Alexander L. Kholmetskii, Tolga Yarman

S. C. Tiwari

Yu. A. Sitenko, N. D. Vlasii

Since the Aharonov-Bohm effect is the purely quantum effect that has no analogues in classical physics, its persistence in the quasiclassical limit seems to be hardly possible. Nevertheless, we show that the scattering Aharonov-Bohm effect does persist in the quasiclassical limit owing to the diffraction, i.e. the Fraunhofer diffraction in the case when space outside the enclosed magnetic flux is Euclidean, and the Fresnel diffraction in the case when the outer space is conical. Hence, the enclosed magnetic flux can serve as a gate for the propagation of short-wavelength, almost classical, particles. In the case of conical space, this quasiclassical effect which is in principle detectable depends on the particle spin.

Chen Lan-li

The paper introduces the Aharonov-Bohm effect in magnetic field with theories of classical electrodynamics and quantum mechanics.It expounds the limitation of classical electrodynamics,the stringency,integrity and scientific predictability of quantum mechanics via comparative analysis.

R. M. Herman