dorsal/arxiv
View SchemaOrthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
| Authors | Nicolae Cotfas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306012 |
| URL | https://arxiv.org/abs/quant-ph/0306012 |
| DOI | 10.2478/BF02476425 |
Abstract
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. The considered equations are directly related to some Schrodinger type equations (Poschl-Teller, Scarf, Morse, etc), and the defined special functions are related to the corresponding bound-state eigenfunctions.
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"abstract": "A hypergeometric type equation satisfying certain conditions defines either a\nfinite or an infinite system of orthogonal polynomials. We present in a unified\nand explicit way all these systems of orthogonal polynomials, the associated\nspecial functions and the corresponding raising/lowering operators. The\nconsidered equations are directly related to some Schrodinger type equations\n(Poschl-Teller, Scarf, Morse, etc), and the defined special functions are\nrelated to the corresponding bound-state eigenfunctions.",
"arxiv_id": "quant-ph/0306012",
"authors": [
"Nicolae Cotfas"
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"doi": "10.2478/BF02476425",
"title": "Orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0306012"
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