dorsal/arxiv
View SchemaLevinson theorem in two dimensions
| Authors | Qiong-gui Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806073 |
| URL | https://arxiv.org/abs/quant-ph/9806073 |
| DOI | 10.1103/PhysRevA.56.1938 |
| Journal | Phys.Rev. A56 (1997) 1938-1944 |
Abstract
A two-dimensional analogue of Levinson's theorem for nonrelativistic quantum mechanics is established, which relates the phase shift at threshold(zero momentum) for the $m$th partial wave to the total number of bound states with angular momentum $m\hbar(m=0,1,2,...)$ in an attractive central field.
{
"annotation_id": "a24a687a-5b32-4dd9-a9be-46035fb0cfaf",
"date_created": "2026-03-02T18:02:45.022000Z",
"date_modified": "2026-03-02T18:02:45.022000Z",
"file_hash": "f864c3fa56ae9324899c9a9758b609705713b7b4f41eed582de840de40ab8ae6",
"private": false,
"record": {
"abstract": "A two-dimensional analogue of Levinson\u0027s theorem for nonrelativistic quantum\nmechanics is established, which relates the phase shift at threshold(zero\nmomentum) for the $m$th partial wave to the total number of bound states with\nangular momentum $m\\hbar(m=0,1,2,...)$ in an attractive central field.",
"arxiv_id": "quant-ph/9806073",
"authors": [
"Qiong-gui Lin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.1938",
"journal_ref": "Phys.Rev. A56 (1997) 1938-1944",
"title": "Levinson theorem in two dimensions",
"url": "https://arxiv.org/abs/quant-ph/9806073"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f14285ff-728e-4756-9214-683c95e1db3b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}