Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential
Quantum Physics
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0406033,
title = {Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential},
author = {Vladislav Khalilov},
journal= {arXiv preprint arXiv:quant-ph/0406033},
year = {2009}
}
Comments
Revtex4, 7 pages, 0 figures