dorsal/arxiv
View SchemaZero-energy states for a class of quasi-exactly solvable rational potentials
| Authors | B. Bagchi, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703037 |
| URL | https://arxiv.org/abs/quant-ph/9703037 |
| DOI | 10.1016/S0375-9601(97)00213-2 |
| Journal | Phys.Lett. A230 (1997) 1-6 |
Abstract
Quasi-exactly solvable rational potentials with known zero-energy solutions of the Schro\" odinger equation are constructed by starting from exactly solvable potentials for which the Schr\" odinger equation admits an so(2,1) potential algebra. For some of them, the zero-energy wave function is shown to be normalizable and to describe a bound state.
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"abstract": "Quasi-exactly solvable rational potentials with known zero-energy solutions\nof the Schro\\\" odinger equation are constructed by starting from exactly\nsolvable potentials for which the Schr\\\" odinger equation admits an so(2,1)\npotential algebra. For some of them, the zero-energy wave function is shown to\nbe normalizable and to describe a bound state.",
"arxiv_id": "quant-ph/9703037",
"authors": [
"B. Bagchi",
"C. Quesne"
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"doi": "10.1016/S0375-9601(97)00213-2",
"journal_ref": "Phys.Lett. A230 (1997) 1-6",
"title": "Zero-energy states for a class of quasi-exactly solvable rational potentials",
"url": "https://arxiv.org/abs/quant-ph/9703037"
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