On the spin-1/2 Aharonov-Bohm problem for modified Pöschl-Teller potential, physical regularization and self-adjoint extensions
Laboratory of Theoretical Physics, Department of Physics, University of Jijel, Ouled Aissa, PB 98, DZ-18000, Jijel, Algeria
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Accepted: 4 March 2019
Published online: 11 June 2019
We study the bound-state energies for a spin-1/2 particle subjected to the modified Pöschl-Teller potential and an Aharonov-Bohm field in the nonrelativistic limit. The problem of the -function singularity which describes the interaction between spin and magnetic flux is solved using two different approaches already known in the literature, the first is a physical regularization based on a redefinition of the Aharonov-Bohm field as a limit of another one which is more physical and less singular. The second is the self-adjoint extensions method, we obtain an expression for the self-adjoint extension parameter in terms of the physics of the problem.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019