dorsal/arxiv
View SchemaStudy of the one-dimensional Schroedinger equation generated from the hypergeometric equation
| Authors | G. A. Natanzon |
|---|---|
| Categories | |
| ArXiv ID | physics/9907032 |
| URL | https://arxiv.org/abs/physics/9907032 |
| Journal | Vestnik Leningradskogo Universiteta No. 10 (1971) 22-28 |
Abstract
Original English Summary. - A systematic method of constructing potentials, for which the one-variable Schroedinger equation can be solved in terms of the hypergeometric (HGM) function, is presented. All the potentials, obtained by energy-independent transformations of the HGM equation, are determined together with eigenvalues and eigenfunctions. A class of potentials derived from the confluent HGM equation is found by means of a limit process
{
"annotation_id": "5457bd1c-8adf-42f8-ba0b-ecc8cf265fa7",
"date_created": "2026-03-02T18:01:25.178000Z",
"date_modified": "2026-03-02T18:01:25.178000Z",
"file_hash": "e6a158b65edb1d500ee861dbceb8df376671281f778a2b4d09476931394ee74b",
"private": false,
"record": {
"abstract": "Original English Summary. - A systematic method of constructing potentials,\nfor which the one-variable Schroedinger equation can be solved in terms of the\nhypergeometric (HGM) function, is presented. All the potentials, obtained by\nenergy-independent transformations of the HGM equation, are determined together\nwith eigenvalues and eigenfunctions. A class of potentials derived from the\nconfluent HGM equation is found by means of a limit process",
"arxiv_id": "physics/9907032",
"authors": [
"G. A. Natanzon"
],
"categories": [
"physics.hist-ph"
],
"journal_ref": "Vestnik Leningradskogo Universiteta No. 10 (1971) 22-28",
"title": "Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation",
"url": "https://arxiv.org/abs/physics/9907032"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b7f2eeed-f0be-4053-8065-84a9443ba76a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}