Diffraction and quasiclassical limit of the Aharonov-Bohm effect
Bogolyubov Institute for Theoretical Physics, National Academy of Sciences - 03680 Kyiv, Ukraine
2 Physics Department, Taras Shevchenko National University of Kyiv - 01601 Kyiv, Ukraine
Accepted: 1 December 2010
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.
PACS: 03.65.Nk – Scattering theory / 72.80.Vp – Electronic transport in graphene / 98.80.Cq – Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
© EPLA, 2010