Distortion of a Phase Space Under the Darboux Transformation

Details Distortion of a Phase Space Under the Darboux Transformation Distortion of a Phase Space Under the Darboux Transformation

1997-10-25

arxiv.org/abs/quant-ph/9710058v1

Physics

Quantum Physics

To be published in J. Math. Phys. 1998, v. 39, No 1 or No 2

Scientific paper

10.1063/1.532364

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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