dorsal/arxiv
View SchemaShort-range oscillators in power-series picture
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909068 |
| URL | https://arxiv.org/abs/quant-ph/9909068 |
| DOI | 10.1088/0305-4470/33/8/309 |
| Journal | J. Phys. A: Math. Gen. 33 (2000) 1647-59 |
Abstract
A class of short-range potentials on the line is considered as an asymptotically vanishing phenomenological alternative to the popular confining polynomials. We propose a method which parallels the analytic Hill-Taylor description of anharmonic oscillators and represents all our Jost solutions non-numerically, in terms of certain infinite hypergeometric-like series. In this way the well known solvable Rosen-Morse and scarf models are generalized.
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"abstract": "A class of short-range potentials on the line is considered as an\nasymptotically vanishing phenomenological alternative to the popular confining\npolynomials. We propose a method which parallels the analytic Hill-Taylor\ndescription of anharmonic oscillators and represents all our Jost solutions\nnon-numerically, in terms of certain infinite hypergeometric-like series. In\nthis way the well known solvable Rosen-Morse and scarf models are generalized.",
"arxiv_id": "quant-ph/9909068",
"authors": [
"Miloslav Znojil"
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"doi": "10.1088/0305-4470/33/8/309",
"journal_ref": "J. Phys. A: Math. Gen. 33 (2000) 1647-59",
"title": "Short-range oscillators in power-series picture",
"url": "https://arxiv.org/abs/quant-ph/9909068"
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