dorsal/arxiv
View SchemaShape Invariance and Its Connection to Potential Algebra
| Authors | Asim Gangopadhyaya, Jeffry V. Mallow, Uday P. Sukhatme |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805042 |
| URL | https://arxiv.org/abs/quant-ph/9805042 |
| DOI | 10.1007/BFb0105329 |
Abstract
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. For these potentials, eigenvalues and eigenvectors can be derived using well known methods of supersymmetric quantum mechanics. The majority of these potentials have also been shown to possess a potential algebra, and hence are also solvable by group theoretical techniques. In this paper, for a subset of solvable problems, we establish a connection between the two methods and show that they are indeed equivalent.
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"abstract": "Exactly solvable potentials of nonrelativistic quantum mechanics are known to\nbe shape invariant. For these potentials, eigenvalues and eigenvectors can be\nderived using well known methods of supersymmetric quantum mechanics. The\nmajority of these potentials have also been shown to possess a potential\nalgebra, and hence are also solvable by group theoretical techniques. In this\npaper, for a subset of solvable problems, we establish a connection between the\ntwo methods and show that they are indeed equivalent.",
"arxiv_id": "quant-ph/9805042",
"authors": [
"Asim Gangopadhyaya",
"Jeffry V. Mallow",
"Uday P. Sukhatme"
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"doi": "10.1007/BFb0105329",
"title": "Shape Invariance and Its Connection to Potential Algebra",
"url": "https://arxiv.org/abs/quant-ph/9805042"
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