dorsal/arxiv
View SchemaShape invariance, raising and lowering operators in hypergeometric type equations
| Authors | N. Cotfas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206129 |
| URL | https://arxiv.org/abs/quant-ph/0206129 |
| DOI | 10.1088/0305-4470/35/44/306 |
Abstract
The Schr\" odinger equations which are exactly solvable in terms of associated special functions are directly related to some self-adjoint operators defined in the theory of hypergeometric type equations. The fundamental formulae occurring in a supersymmetric approach to these Hamiltonians are consequences of some formulae concerning the general theory of associated special functions. We use this connection in order to obtain a general theory of Schr\" odinger equations exactly solvable in terms of associated special functions, and to extend certain results known in the case of some particular potentials.
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"abstract": "The Schr\\\" odinger equations which are exactly solvable in terms of\nassociated special functions are directly related to some self-adjoint\noperators defined in the theory of hypergeometric type equations. The\nfundamental formulae occurring in a supersymmetric approach to these\nHamiltonians are consequences of some formulae concerning the general theory of\nassociated special functions. We use this connection in order to obtain a\ngeneral theory of Schr\\\" odinger equations exactly solvable in terms of\nassociated special functions, and to extend certain results known in the case\nof some particular potentials.",
"arxiv_id": "quant-ph/0206129",
"authors": [
"N. Cotfas"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/44/306",
"title": "Shape invariance, raising and lowering operators in hypergeometric type equations",
"url": "https://arxiv.org/abs/quant-ph/0206129"
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