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On the spin-1/2 Aharonov-Bohm problem for modified Pöschl-Teller potential, physical regularization and self-adjoint extensions

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Abstract.

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 \( \delta\)-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.

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Ferkous, N., Boultif, A. & Sifour, M. On the spin-1/2 Aharonov-Bohm problem for modified Pöschl-Teller potential, physical regularization and self-adjoint extensions. Eur. Phys. J. Plus 134, 258 (2019). https://doi.org/10.1140/epjp/i2019-12608-0

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  • DOI: https://doi.org/10.1140/epjp/i2019-12608-0

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