dorsal/arxiv
View SchemaThe Phenomenon of Darboux Displacements
| Authors | David J. Fernandez C., Bogdan Mielnik, Oscar Rosas-Ortiz, Boris F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302204 |
| URL | https://arxiv.org/abs/quant-ph/0302204 |
| DOI | 10.1016/S0375-9601(01)00839-8 |
| Journal | Phys.Lett.A294:168-174,2002 |
Abstract
For a class of Schrodinger Hamiltonians the supersymmetry transformations can degenerate to simple coordinate displacements. We examine this phenomenon and show that it distinguishes the Weierstrass potentials including the one-soliton wells and periodic Lame functions. A supersymmetric sense of the addition formula for the Weierstrass functions is elucidated.
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"abstract": "For a class of Schrodinger Hamiltonians the supersymmetry transformations can\ndegenerate to simple coordinate displacements. We examine this phenomenon and\nshow that it distinguishes the Weierstrass potentials including the one-soliton\nwells and periodic Lame functions. A supersymmetric sense of the addition\nformula for the Weierstrass functions is elucidated.",
"arxiv_id": "quant-ph/0302204",
"authors": [
"David J. Fernandez C.",
"Bogdan Mielnik",
"Oscar Rosas-Ortiz",
"Boris F. Samsonov"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0375-9601(01)00839-8",
"journal_ref": "Phys.Lett.A294:168-174,2002",
"title": "The Phenomenon of Darboux Displacements",
"url": "https://arxiv.org/abs/quant-ph/0302204"
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