dorsal/arxiv
View SchemaEquivalence of two alternative approaches to Schrodinger equations
| Authors | B. Gonul, K. Koksal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512216 |
| URL | https://arxiv.org/abs/quant-ph/0512216 |
| DOI | 10.1088/0031-8949/73/6/016 |
| Journal | Phys.Scripta 73 (2006) 629-631 |
Abstract
Recently developed simple approach for the exact/approximate solution of Schrodinger equations with constant/position-dependent mass, in which the potential is considered as in the perturbation theory, is shown to be equivalent to the one leading to the construction of exactly solvable potentials via the solution of second-order differential equations in terms of known special functions. The formalism in the former solves difficulties encountered in the latter in revealing the corrections explicitly to the unperturbed piece of the solutions whereas the other obviate cumbersome procedures used in the calculations of the former.
{
"annotation_id": "7ed08c76-62b5-4f0c-a59a-99ddb64de610",
"date_created": "2026-03-02T18:02:23.781000Z",
"date_modified": "2026-03-02T18:02:23.781000Z",
"file_hash": "bf6c2eb10ad9e23ff2a46b8d5c7b3d776845e430e5f775b2cf935620f0210f82",
"private": false,
"record": {
"abstract": "Recently developed simple approach for the exact/approximate solution of\nSchrodinger equations with constant/position-dependent mass, in which the\npotential is considered as in the perturbation theory, is shown to be\nequivalent to the one leading to the construction of exactly solvable\npotentials via the solution of second-order differential equations in terms of\nknown special functions. The formalism in the former solves difficulties\nencountered in the latter in revealing the corrections explicitly to the\nunperturbed piece of the solutions whereas the other obviate cumbersome\nprocedures used in the calculations of the former.",
"arxiv_id": "quant-ph/0512216",
"authors": [
"B. Gonul",
"K. Koksal"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0031-8949/73/6/016",
"journal_ref": "Phys.Scripta 73 (2006) 629-631",
"title": "Equivalence of two alternative approaches to Schrodinger equations",
"url": "https://arxiv.org/abs/quant-ph/0512216"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5b6ba293-e8df-4432-9a46-a94551a85c89",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}