dorsal/arxiv
View SchemaA pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential
| Authors | Juergen Audretsch, Ulf Jasper, Vladimir D. Skarzhinsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9503006 |
| URL | https://arxiv.org/abs/quant-ph/9503006 |
| DOI | 10.1088/0305-4470/28/8/026 |
| Journal | J.Phys. A28 (1995) 2359-2368 |
Abstract
We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid). We present a pragmatic approach to the problem based on the orthogonalization of the radial solutions for different quantum numbers. Then we discuss a model of a scalar particle with a magnetic moment which allows to explain why the self-adjoint extension contains arbitrary parameters and give a physical interpretation.
{
"annotation_id": "e3da21f3-90f5-43ff-a036-cfbf5bc5c470",
"date_created": "2026-03-02T18:02:37.885000Z",
"date_modified": "2026-03-02T18:02:37.885000Z",
"file_hash": "6f9a45a7b2978af0ffa3a22e751b043c3eeac6b72a9bd329a99c678769a7a663",
"private": false,
"record": {
"abstract": "We consider the problem of self-adjoint extension of Hamilton operators for\ncharged quantum particles in the pure Aharonov-Bohm potential (infinitely thin\nsolenoid). We present a pragmatic approach to the problem based on the\northogonalization of the radial solutions for different quantum numbers. Then\nwe discuss a model of a scalar particle with a magnetic moment which allows to\nexplain why the self-adjoint extension contains arbitrary parameters and give a\nphysical interpretation.",
"arxiv_id": "quant-ph/9503006",
"authors": [
"Juergen Audretsch",
"Ulf Jasper",
"Vladimir D. Skarzhinsky"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/28/8/026",
"journal_ref": "J.Phys. A28 (1995) 2359-2368",
"title": "A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential",
"url": "https://arxiv.org/abs/quant-ph/9503006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d83f97c0-ffc1-4bd2-84d7-72fdb386a03c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}