dorsal/arxiv
View SchemaTime-dependent Schr\"odinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations
| Authors | Michael Martin Nieto, D. Rodney Truax |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9811075 |
| URL | https://arxiv.org/abs/quant-ph/9811075 |
| DOI | 10.1063/1.533268 |
| Journal | J.Math.Phys. 41 (2000) 2741-2752 |
Abstract
In this paper, we focus on a general class of Schr\"odinger equations that are time-dependent and quadratic in X and P. We transform Schr\"odinger equations in this class, via a class of time-dependent mass equations, to a class of solvable time-dependent oscillator equations. This transformation consists of a unitary transformation and a change in the ``time'' variable. We derive mathematical constraints forthe transformation and introduce two examples.
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"abstract": "In this paper, we focus on a general class of Schr\\\"odinger equations that\nare time-dependent and quadratic in X and P. We transform Schr\\\"odinger\nequations in this class, via a class of time-dependent mass equations, to a\nclass of solvable time-dependent oscillator equations. This transformation\nconsists of a unitary transformation and a change in the ``time\u0027\u0027 variable. We\nderive mathematical constraints forthe transformation and introduce two\nexamples.",
"arxiv_id": "quant-ph/9811075",
"authors": [
"Michael Martin Nieto",
"D. Rodney Truax"
],
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"doi": "10.1063/1.533268",
"journal_ref": "J.Math.Phys. 41 (2000) 2741-2752",
"title": "Time-dependent Schr\\\"odinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations",
"url": "https://arxiv.org/abs/quant-ph/9811075"
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