Distortion of a Phase Space Under the Darboux Transformation
Quantum Physics
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/9710058,
title = {Distortion of a Phase Space Under the Darboux Transformation},
author = {Boris F. Samsonov},
journal= {arXiv preprint arXiv:quant-ph/9710058},
year = {2009}
}
Comments
To be published in J. Math. Phys. 1998, v. 39, No 1 or No 2