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Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential

Vladislav Khalilov
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Abstract

We obtain exact solutions to the Dirac equation and the relevant binding energies in the combined Aharonov--Bohm--Coulomb potential in 2+1 dimensions. By means of solutions obtained the quantum Aharonov--Bohm effect is studied for free and bound electron states. We show that the total scattering amplitude in the combined Aharonov--Bohm--Coulomb potential is a sum of the Aharonov--Bohm and the Coulomb scattering amplitudes. This modifies expression for the standard Aharonov--Bohm cross section due to the interference these two amplitudes with each other.

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Vladislav Khalilov. 2004-06-04. Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential. https://doi.org/10.1103/physreva.71.012105

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