dorsal/arxiv
View SchemaTime Dependent Supersymmetry in Quantum Mechanics
| Authors | Vladislav G. Bagrov, Boris F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9709040 |
| URL | https://arxiv.org/abs/quant-ph/9709040 |
Abstract
The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY of Andrianov et al. are extended to the nonstationary Schr\"odinger equation. All these constructions are based on the time-dependent Darboux transformation. The superalgebra over the conventional Lie algebra is constructed. Examples of time-dependent exactly solvable potentials are given.
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"abstract": "The well-known supersymmetric constructions such as Witten\u0027s supersymmetric\nquantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and\nhigher-derivative SUSY of Andrianov et al. are extended to the nonstationary\nSchr\\\"odinger equation. All these constructions are based on the time-dependent\nDarboux transformation. The superalgebra over the conventional Lie algebra is\nconstructed. Examples of time-dependent exactly solvable potentials are given.",
"arxiv_id": "quant-ph/9709040",
"authors": [
"Vladislav G. Bagrov",
"Boris F. Samsonov"
],
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"title": "Time Dependent Supersymmetry in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9709040"
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