dorsal/arxiv
View SchemaSingular potentials and absorption problem in Quantum Mechanics
| Authors | Vladimir D. Skarzhinsky, Juergen Audretsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012004 |
| URL | https://arxiv.org/abs/quant-ph/0012004 |
Abstract
We discuss a possible approach to the absorption problem in Quantum Mechanics based on using of singular attractive potentials in the corresponding Schr\"{o}dinger equations. Possible criteria for selection of exact solutions of these equations are considered and it is shown that different models of absorption can be realized by a special choice of exact solutions. As an example, the motion of charged particles in the Aharonov-Bohm (AB) and the scalar attractive $\rho^{-2}$ potentials is investigated in detail. Other attractive potentials are briefly considered.
{
"annotation_id": "e65a00de-80bc-4c90-9e4f-353e37307187",
"date_created": "2026-03-02T18:01:42.414000Z",
"date_modified": "2026-03-02T18:01:42.414000Z",
"file_hash": "b77886ba662c847d24f232b5a9efb441019d803e8012371bd21b6bedd3b7aaab",
"private": false,
"record": {
"abstract": "We discuss a possible approach to the absorption problem in Quantum Mechanics\nbased on using of singular attractive potentials in the corresponding\nSchr\\\"{o}dinger equations. Possible criteria for selection of exact solutions\nof these equations are considered and it is shown that different models of\nabsorption can be realized by a special choice of exact solutions. As an\nexample, the motion of charged particles in the Aharonov-Bohm (AB) and the\nscalar attractive $\\rho^{-2}$ potentials is investigated in detail. Other\nattractive potentials are briefly considered.",
"arxiv_id": "quant-ph/0012004",
"authors": [
"Vladimir D. Skarzhinsky",
"Juergen Audretsch"
],
"categories": [
"quant-ph"
],
"title": "Singular potentials and absorption problem in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0012004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9cc119ad-fe85-473a-8539-a75214e92dfe",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}