dorsal/arxiv
View SchemaConditionally exactly solvable potentials: A supersymmetric construction method
| Authors | Georg Junker, Pinaki Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803024 |
| URL | https://arxiv.org/abs/quant-ph/9803024 |
| DOI | 10.1006/aphy.1998.5856 |
| Journal | Annals Phys. 270 (1998) 155-177 |
Abstract
We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schr\"odinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line, the half line as well as on some finite interval are studied in detail.
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"abstract": "We present in this paper a rather general method for the construction of\nso-called conditionally exactly solvable potentials. This method is based on\nalgebraic tools known from supersymmetric quantum mechanics. Various families\nof one-dimensional potentials are constructed whose corresponding Schr\\\"odinger\neigenvalue problem can be solved exactly under certain conditions of the\npotential parameters. Examples of quantum systems on the real line, the half\nline as well as on some finite interval are studied in detail.",
"arxiv_id": "quant-ph/9803024",
"authors": [
"Georg Junker",
"Pinaki Roy"
],
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"quant-ph"
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"doi": "10.1006/aphy.1998.5856",
"journal_ref": "Annals Phys. 270 (1998) 155-177",
"title": "Conditionally exactly solvable potentials: A supersymmetric construction method",
"url": "https://arxiv.org/abs/quant-ph/9803024"
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