A generalized Fourier transform of the P-quasi distribution function

2022/12/06 by Dušan Popov, Popov, Dušan
Computer Science · Mathematics · #33 #44 #81 #FOS: Physical sciences #Image and Signal Denoising Methods #J.2 #Mathematical Analysis and Transform Methods #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2212.04345

openalex publication_date 2022/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

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