dorsal/arxiv
View SchemaNew solvable quantum mechanical potentials by iteration of the free V=0 potential
| Authors | Pedro Blecua, Luis J. Boya, Antonio Segui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311139 |
| URL | https://arxiv.org/abs/quant-ph/0311139 |
| DOI | 10.1393/ncb/i2002-10008-y |
Abstract
A huge family of solvable potentials can be generated by systematically exploiting the factorization (Darboux) method. Starting from the free case, a large class of the known solvable families is thus reproduced, together with new ones. We explicitly find and solve several new singular potentials obtained by iteration from the V=0 case; some of them have an E=0 bound state and constant phase shift without being explicitly scale invariant. The new potentials are rational functions, and can be related to rational solutions of the KdV family.
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"abstract": "A huge family of solvable potentials can be generated by systematically\nexploiting the factorization (Darboux) method. Starting from the free case, a\nlarge class of the known solvable families is thus reproduced, together with\nnew ones. We explicitly find and solve several new singular potentials obtained\nby iteration from the V=0 case; some of them have an E=0 bound state and\nconstant phase shift without being explicitly scale invariant. The new\npotentials are rational functions, and can be related to rational solutions of\nthe KdV family.",
"arxiv_id": "quant-ph/0311139",
"authors": [
"Pedro Blecua",
"Luis J. Boya",
"Antonio Segui"
],
"categories": [
"quant-ph"
],
"doi": "10.1393/ncb/i2002-10008-y",
"title": "New solvable quantum mechanical potentials by iteration of the free V=0 potential",
"url": "https://arxiv.org/abs/quant-ph/0311139"
},
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