dorsal/arxiv
View SchemaN-fold Supersymmetry in Quantum Systems with Position-dependent Mass
| Authors | Toshiaki Tanaka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509132 |
| URL | https://arxiv.org/abs/quant-ph/0509132 |
| DOI | 10.1088/0305-4470/39/1/016 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) 219-234 |
Abstract
We formulate the framework of N-fold supersymmetry in one-body quantum mechanical systems with position-dependent mass (PDM). We show that some of the significant properties in the constant-mass case such as the equivalence to weak quasi-solvability also hold in the PDM case. We develop a systematic algorithm for constructing an N-fold supersymmetric PDM system. We apply it to obtain type A N-fold supersymmetry in the case of PDM, which is characterized by the so-called type A monomial space. The complete classification and general form of effective potentials for type A N-fold supersymmetry in the PDM case are given.
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"abstract": "We formulate the framework of N-fold supersymmetry in one-body quantum\nmechanical systems with position-dependent mass (PDM). We show that some of the\nsignificant properties in the constant-mass case such as the equivalence to\nweak quasi-solvability also hold in the PDM case. We develop a systematic\nalgorithm for constructing an N-fold supersymmetric PDM system. We apply it to\nobtain type A N-fold supersymmetry in the case of PDM, which is characterized\nby the so-called type A monomial space. The complete classification and general\nform of effective potentials for type A N-fold supersymmetry in the PDM case\nare given.",
"arxiv_id": "quant-ph/0509132",
"authors": [
"Toshiaki Tanaka"
],
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"doi": "10.1088/0305-4470/39/1/016",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 219-234",
"title": "N-fold Supersymmetry in Quantum Systems with Position-dependent Mass",
"url": "https://arxiv.org/abs/quant-ph/0509132"
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