2010/08/31 by Yurii A. Sitenko, Nadiia D. Vlasii · 3 citations
Mathematics · Physics and Astronomy · #Diffraction #Limit (mathematics) #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Scattering #Scattering theory #Space (punctuation) #Topological Materials and Phenomena #Transverse plane #Vortex #Wavelength #astro-ph.CO #cond-mat.str-el #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/j.aop.2011.01.004
published in Annals of Physics 326(6), 1441-1456 (Elsevier BV) · 26 pages, 3 figures, minor corrections
arxiv created 2011/01/24 · openalex publication_date 2011/01/26 · arxiv updated 2011/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Scattering of a nonrelativistic quantum-mechanical particle by an impenetrable magnetic vortex is considered. The nonvanishing transverse size of the vortex is taken into account, and the limit of short, as compared to this size, wavelengths of the scattered particle is analyzed. We show that the scattering Aharonov-Bohm effect persists in the quasiclassical limit owing to the diffraction persisting in the short-wavelength limit. As a result, the vortex flux serves as a gate for the propagation of short-wavelength, almost classical, particles. This quasiclassical effect is more feasible to experimental detection in the case when space outside the vortex is conical.