dorsal/arxiv
View SchemaSpecial functions, raising and lowering operators
| Authors | Nicolae Cotfas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306011 |
| URL | https://arxiv.org/abs/quant-ph/0306011 |
| Journal | Inst. Phys. Conf. Ser. 173 (2003) 649-652 |
Abstract
The Schrodinger 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 Schrodinger 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 Schrodinger equations which are exactly solvable in terms of associated\nspecial functions are directly related to some self-adjoint operators defined\nin the theory of hypergeometric type equations. The fundamental formulae\noccurring in a supersymmetric approach to these Hamiltonians are consequences\nof some formulae concerning the general theory of associated special functions.\nWe use this connection in order to obtain a general theory of Schrodinger\nequations exactly solvable in terms of associated special functions, and to\nextend certain results known in the case of some particular potentials.",
"arxiv_id": "quant-ph/0306011",
"authors": [
"Nicolae Cotfas"
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"journal_ref": "Inst. Phys. Conf. Ser. 173 (2003) 649-652",
"title": "Special functions, raising and lowering operators",
"url": "https://arxiv.org/abs/quant-ph/0306011"
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