dorsal/arxiv
View SchemaGeneral recursive solution for one dimensional quantum potentials: a simple tool for applied physics
| Authors | Sérgio L. Morelhão, André V. Perrotta |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605115 |
| URL | https://arxiv.org/abs/quant-ph/0605115 |
Abstract
A revision of the recursive method proposed by S.A. Shakir [Am. J.Phys. \textbf{52}, 845 (1984)] to solve bound eigenvalues of the Schr\"odinger equation is presented. Equations are further simplified and generalized for computing wave functions of any given one-dimensional potential, providing accurate solutions not only for bound states but also for scattering and resonant states, as demonstrated here for a few examples.
{
"annotation_id": "f33b09e9-0f38-424f-8f65-27cfb0a97700",
"date_created": "2026-03-02T18:02:27.657000Z",
"date_modified": "2026-03-02T18:02:27.657000Z",
"file_hash": "2e4d6e41cb103525f3cab100b0475b3dc0f12ec19b336bfa6821c79994dfec8e",
"private": false,
"record": {
"abstract": "A revision of the recursive method proposed by S.A. Shakir [Am. J.Phys.\n\\textbf{52}, 845 (1984)] to solve bound eigenvalues of the Schr\\\"odinger\nequation is presented. Equations are further simplified and generalized for\ncomputing wave functions of any given one-dimensional potential, providing\naccurate solutions not only for bound states but also for scattering and\nresonant states, as demonstrated here for a few examples.",
"arxiv_id": "quant-ph/0605115",
"authors": [
"S\u00e9rgio L. Morelh\u00e3o",
"Andr\u00e9 V. Perrotta"
],
"categories": [
"quant-ph"
],
"title": "General recursive solution for one dimensional quantum potentials: a simple tool for applied physics",
"url": "https://arxiv.org/abs/quant-ph/0605115"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "fc461bff-75ea-47a8-9357-bd3f25d86386",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}