dorsal/arxiv
View SchemaElastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive $\rho^{-2}$ potential
| Authors | Juergen Audretsch, Vladimir D. Skarzhinsky, Boris L. Voronov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004065 |
| URL | https://arxiv.org/abs/quant-ph/0004065 |
| DOI | 10.1088/0305-4470/34/2/303 |
| Journal | J.Phys.A34:235-250,2001 |
Abstract
We consider the elastic scattering and bound states of charged quantum particles moving in the Aharonov-Bohm and an attractive $\rho^{-2}$ potential in a partial wave approach. Radial solutions of the stationary Schr\"{o}dinger equation are specified in such a way that the Hamiltonian of the problem is self-adjoint. It is shown that they are not uniquely fixed but depend on open parameters. The related physical consequences are discussed. The scattering cross section is calculated and the energy spectrum of bound states is obtained.
{
"annotation_id": "43ac6090-22bb-45a6-904b-91445f3768f8",
"date_created": "2026-03-02T18:01:39.152000Z",
"date_modified": "2026-03-02T18:01:39.152000Z",
"file_hash": "c9dd007d99803c748c8888f150a4f3f2ced3c6ad0e443b72dc9411defb65810d",
"private": false,
"record": {
"abstract": "We consider the elastic scattering and bound states of charged quantum\nparticles moving in the Aharonov-Bohm and an attractive $\\rho^{-2}$ potential\nin a partial wave approach. Radial solutions of the stationary Schr\\\"{o}dinger\nequation are specified in such a way that the Hamiltonian of the problem is\nself-adjoint. It is shown that they are not uniquely fixed but depend on open\nparameters. The related physical consequences are discussed. The scattering\ncross section is calculated and the energy spectrum of bound states is\nobtained.",
"arxiv_id": "quant-ph/0004065",
"authors": [
"Juergen Audretsch",
"Vladimir D. Skarzhinsky",
"Boris L. Voronov"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1088/0305-4470/34/2/303",
"journal_ref": "J.Phys.A34:235-250,2001",
"title": "Elastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive $\\rho^{-2}$ potential",
"url": "https://arxiv.org/abs/quant-ph/0004065"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8d01d50d-bfba-4625-aa6d-00f69a591d96",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}