Distortion of a Phase Space Under the Darboux Transformation

Boris F. Samsonov

doi:10.1063/1.532364

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arXiv · quant-ph/9710058

Distortion of a Phase Space Under the Darboux Transformation

Boris F. Samsonov

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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 Kähler potential which leads to a distortion of the initial phase space.

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Boris F. Samsonov. 1997-10-25. Distortion of a Phase Space Under the Darboux Transformation. https://doi.org/10.1063/1.532364

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