dorsal/arxiv
View SchemaScattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions
| Authors | Qiong-gui Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007103 |
| URL | https://arxiv.org/abs/quant-ph/0007103 |
| DOI | 10.1088/0305-4470/33/28/309 |
| Journal | J.Phys.A33:5049-5057,2000 |
Abstract
The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the interaction between two particles carrying electric charge and magnetic flux, say, Chern--Simons solitons, or so called anyons. The scattering problem for such two-body systems is extended to the relativistic case, and the scattering amplitude is obtained as a partial wave series. The electric charge and magnetic flux is ($-q$, $-\phi/Z$) for one particle and ($Zq$, $\phi$) for the other. When $(Zq^2/\hbar c)^2\ll 1$, and $q\phi/2\pi\hbar c$ takes on integer or half integer values, the partial wave series is summed up approximately to give a closed form. The results exhibit some nonperturbative features and cannot be obtained from perturbative quantum electrodynamics at the tree level.
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"abstract": "The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the\ninteraction between two particles carrying electric charge and magnetic flux,\nsay, Chern--Simons solitons, or so called anyons. The scattering problem for\nsuch two-body systems is extended to the relativistic case, and the scattering\namplitude is obtained as a partial wave series. The electric charge and\nmagnetic flux is ($-q$, $-\\phi/Z$) for one particle and ($Zq$, $\\phi$) for the\nother. When $(Zq^2/\\hbar c)^2\\ll 1$, and $q\\phi/2\\pi\\hbar c$ takes on integer\nor half integer values, the partial wave series is summed up approximately to\ngive a closed form. The results exhibit some nonperturbative features and\ncannot be obtained from perturbative quantum electrodynamics at the tree level.",
"arxiv_id": "quant-ph/0007103",
"authors": [
"Qiong-gui Lin"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1088/0305-4470/33/28/309",
"journal_ref": "J.Phys.A33:5049-5057,2000",
"title": "Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions",
"url": "https://arxiv.org/abs/quant-ph/0007103"
},
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