dorsal/arxiv
View SchemaSUSUSY quantum mechanics
| Authors | David J. Fernandez C. |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9609009 |
| URL | https://arxiv.org/abs/quant-ph/9609009 |
| DOI | 10.1142/S0217751X97000232 |
| Journal | Int.J.Mod.Phys.A12:171-176,1997 |
Abstract
The exactly solvable eigenproblems in Schr\"odinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators. The links between this method and SUSY are analysed. As an example, we show the existence of a two-parametric family of exactly solvable Hamiltonians, which contains the Abraham-Moses potentials as a particular case.
{
"annotation_id": "a6ff6fdb-7800-4315-81f2-cee0cde88907",
"date_created": "2026-03-02T18:02:37.454000Z",
"date_modified": "2026-03-02T18:02:37.454000Z",
"file_hash": "f327d6e51596c745d7419183f9330aa2b505d3877f63bec5b7d4c9835ca2aebd",
"private": false,
"record": {
"abstract": "The exactly solvable eigenproblems in Schr\\\"odinger quantum mechanics\ntypically involve the differential \"shift operators\". In the standard\nsupersymmetric (SUSY) case, the shift operator turns out to be of first order.\nIn this work, I discuss a technique to generate exactly solvable eigenproblems\nby using second order shift operators. The links between this method and SUSY\nare analysed. As an example, we show the existence of a two-parametric family\nof exactly solvable Hamiltonians, which contains the Abraham-Moses potentials\nas a particular case.",
"arxiv_id": "quant-ph/9609009",
"authors": [
"David J. Fernandez C."
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1142/S0217751X97000232",
"journal_ref": "Int.J.Mod.Phys.A12:171-176,1997",
"title": "SUSUSY quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9609009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5dfb9ac4-6919-41f5-a364-ff6d79a30f8d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}