dorsal/arxiv
View SchemaRelativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential
| Authors | Vladislav Khalilov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406033 |
| URL | https://arxiv.org/abs/quant-ph/0406033 |
| DOI | 10.1103/PhysRevA.71.012105 |
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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"abstract": "We obtain exact solutions to the Dirac equation and the relevant binding\nenergies in the combined Aharonov--Bohm--Coulomb potential in 2+1 dimensions.\nBy means of solutions obtained the quantum Aharonov--Bohm effect is studied for\nfree and bound electron states. We show that the total scattering amplitude in\nthe combined Aharonov--Bohm--Coulomb potential is a sum of the Aharonov--Bohm\nand the Coulomb scattering amplitudes. This modifies expression for the\nstandard Aharonov--Bohm cross section due to the interference these two\namplitudes with each other.",
"arxiv_id": "quant-ph/0406033",
"authors": [
"Vladislav Khalilov"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012105",
"title": "Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential",
"url": "https://arxiv.org/abs/quant-ph/0406033"
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