dorsal/arxiv
View SchemaDistortion of a Phase Space Under the Darboux Transformation
| Authors | Boris F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9710058 |
| URL | https://arxiv.org/abs/quant-ph/9710058 |
| DOI | 10.1063/1.532364 |
Abstract
The Darboux transformation operator technique is applied to construct exactly solvable anharmonic singular oscillator potentials and to study their coherent states. Classical system corresponding to a transformed quantum system is constructed with the help of the coherent states technique. It is shown that at classical level the Darboux transformation may be treated as a transformation of K\"ahler potential which leads to a distortion of the initial phase space.
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"abstract": "The Darboux transformation operator technique is applied to construct exactly\nsolvable anharmonic singular oscillator potentials and to study their coherent\nstates. Classical system corresponding to a transformed quantum system is\nconstructed with the help of the coherent states technique. It is shown that at\nclassical level the Darboux transformation may be treated as a transformation\nof K\\\"ahler potential which leads to a distortion of the initial phase space.",
"arxiv_id": "quant-ph/9710058",
"authors": [
"Boris F. Samsonov"
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"doi": "10.1063/1.532364",
"title": "Distortion of a Phase Space Under the Darboux Transformation",
"url": "https://arxiv.org/abs/quant-ph/9710058"
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