English

A generalized Fourier transform of the P-quasi distribution function

Quantum Physics 2022-12-09 v1

Abstract

In the paper we made a generalization of the Fourier transform in the complex space, applicable to the pair of Husimi and P-quasi distributions, in the representation of nonlinear coherent states. Implicitly, our result is a generalization similar result of Mehta, but which referred only to the canonical coherent states (associated with the one-dimensional harmonic oscillator). Our result is valid for both types of coherent states (defined in the Barut-Girardello, respectively Klauder-Perelomov manner).

Keywords

Cite

@article{arxiv.2212.04345,
  title  = {A generalized Fourier transform of the P-quasi distribution function},
  author = {Dušan Popov},
  journal= {arXiv preprint arXiv:2212.04345},
  year   = {2022}
}

Comments

30 pages

R2 v1 2026-06-28T07:26:14.487Z