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arXiv:2112.13452 · The European Physical Journal Plus

Effects of rotation and Coulomb-type potential on the spin-1/2 Aharonov–Bohm problem

Márcio M. Cunha, Fabiano M. Andrade, Edilberto Oliveira Silva

Published Feb 3, 2023• 5 citations
arXivHTMLPDF
DOI
10.1140/epjp/s13360-023-03730-x

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The 2D Pauli equation with Hulthén potential for spin-1/2 particle in the presence of Aharonov—Bohm (AB) field is solved analytically, on the assumption that an effective approximation is used for the centrifugal term. Singular and regular solutions of the problem are obtained. It is shown that the AB field lifts the degeneracy of the energy levels. The range of the flux parameter for which singular solutions are allowed is modified compared to the pure AB case. When the screening parameter vanishes, it is shown that the obtained energy spectrum becomes the same as that of the Aharonov—Bohm Coulomb problem.