dorsal/arxiv
View SchemaAlgebraic Approach to Shape Invariance
| Authors | A. B. Balantekin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9712018 |
| URL | https://arxiv.org/abs/quant-ph/9712018 |
| DOI | 10.1103/PhysRevA.57.4188 |
| Journal | Phys.Rev. A57 (1998) 4188-4191 |
Abstract
The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite-dimensional. The conditions under which they become finite-dimensional are explored.
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"abstract": "The integrability condition called shape invariance is shown to have an\nunderlying algebraic structure and the associated Lie algebras are identified.\nThese shape-invariance algebras transform the parameters of the potentials such\nas strength and range. Shape-invariance algebras, in general, are shown to be\ninfinite-dimensional. The conditions under which they become finite-dimensional\nare explored.",
"arxiv_id": "quant-ph/9712018",
"authors": [
"A. B. Balantekin"
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"doi": "10.1103/PhysRevA.57.4188",
"journal_ref": "Phys.Rev. A57 (1998) 4188-4191",
"title": "Algebraic Approach to Shape Invariance",
"url": "https://arxiv.org/abs/quant-ph/9712018"
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