dorsal/arxiv
View SchemaGeneral Forms of a N-fold Supersymmetric Family
| Authors | Hideaki Aoyama, Masatoshi Sato, Toshiaki Tanaka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012065 |
| URL | https://arxiv.org/abs/quant-ph/0012065 |
| DOI | 10.1016/S0370-2693(01)00250-7 |
| Journal | Phys.Lett. B503 (2001) 423-429 |
Abstract
We report general forms of one family of the N-fold supersymmetry in one-dimensional quantum mechanics. The N-fold supersymmetry is characterized by the supercharges which are N-th order in differential operators. The family reported here is defined as a particular form of the supercharges and is referred to as ``type A''. We show that a quartic and a periodic potentials, which were previously found to be N-fold supersymmetric by the authors, are realized as special cases of this type A family.
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"abstract": "We report general forms of one family of the N-fold supersymmetry in\none-dimensional quantum mechanics. The N-fold supersymmetry is characterized by\nthe supercharges which are N-th order in differential operators. The family\nreported here is defined as a particular form of the supercharges and is\nreferred to as ``type A\u0027\u0027. We show that a quartic and a periodic potentials,\nwhich were previously found to be N-fold supersymmetric by the authors, are\nrealized as special cases of this type A family.",
"arxiv_id": "quant-ph/0012065",
"authors": [
"Hideaki Aoyama",
"Masatoshi Sato",
"Toshiaki Tanaka"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0370-2693(01)00250-7",
"journal_ref": "Phys.Lett. B503 (2001) 423-429",
"title": "General Forms of a N-fold Supersymmetric Family",
"url": "https://arxiv.org/abs/quant-ph/0012065"
},
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