dorsal/arxiv
View SchemaSupersymmetric Dynamical Invariants
| Authors | Ali Mostafazadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104071 |
| URL | https://arxiv.org/abs/quant-ph/0104071 |
| DOI | 10.1088/0305-4470/34/21/306 |
| Journal | J.Phys. A34 (2001) 4493-4506 |
Abstract
We address the problem of identifying the (nonstationary) quantum systems that admit supersymmetric dynamical invariants. In particular, we give a general expression for the bosonic and fermionic partner Hamiltonians. Due to the supersymmetric nature of the dynamical invariant the solutions of the time-dependent Schr\"odinger equation for the partner Hamiltonians can be easily mapped to one another. We use this observation to obtain a class of exactly solvable time-dependent Schr\"odinger equations. As applications of our method, we construct classes of exactly solvable time-dependent generalized harmonic oscillators and spin Hamiltonians.
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"abstract": "We address the problem of identifying the (nonstationary) quantum systems\nthat admit supersymmetric dynamical invariants. In particular, we give a\ngeneral expression for the bosonic and fermionic partner Hamiltonians. Due to\nthe supersymmetric nature of the dynamical invariant the solutions of the\ntime-dependent Schr\\\"odinger equation for the partner Hamiltonians can be\neasily mapped to one another. We use this observation to obtain a class of\nexactly solvable time-dependent Schr\\\"odinger equations. As applications of our\nmethod, we construct classes of exactly solvable time-dependent generalized\nharmonic oscillators and spin Hamiltonians.",
"arxiv_id": "quant-ph/0104071",
"authors": [
"Ali Mostafazadeh"
],
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"quant-ph",
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"math.MP"
],
"doi": "10.1088/0305-4470/34/21/306",
"journal_ref": "J.Phys. A34 (2001) 4493-4506",
"title": "Supersymmetric Dynamical Invariants",
"url": "https://arxiv.org/abs/quant-ph/0104071"
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