A generalized Fourier transform of the P-quasi distribution function

• URL: http://arxiv.org/abs/2212.04345v1
• Date: Tue, 6 Dec 2022 11:03:38 GMT
• Title: A generalized Fourier transform of the P-quasi distribution function
• Authors: Du\v{s}an Popov
• Abstract summary: Implicitly, our result is a generalization similar to Mehta, but which referred only to canonical coherent states. Our result is valid for both types of coherent states (defined in the Barut-Girardello, respectively Klauder-Perelomov manner)
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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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