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

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

2004-06-04

arxiv.org/abs/quant-ph/0406033v1

Physics

Quantum Physics

Revtex4, 7 pages, 0 figures

Scientific paper

10.1103/PhysRevA.71.012105

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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