Quasiprobability distribution functions from fractional Fourier transforms

Jorge A. Anaya-Contreras; Arturo Zúñiga-Segundo; Héctor M. Moya-Cessa

doi:10.3390/sym11030344

Quasiprobability distribution functions from fractional Fourier transforms

Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.

Translated title of the contribution	Funciones de distribución de cuasiprobabilidad a partir de transformadas fraccionarias de Fourier
Original language	English
Article number	344
Journal	Symmetry
Volume	11
Issue number	3
DOIs	https://doi.org/10.3390/sym11030344
State	Published - 1 Mar 2019

Keywords

Fractional Fourier transform
Quasiprobability distribution functions
Reconstruction of the wave function

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10.3390/sym11030344

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abstract = "We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.",

keywords = "Fractional Fourier transform, Quasiprobability distribution functions, Reconstruction of the wave function",

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AU - Zúñiga-Segundo, Arturo

AU - Moya-Cessa, Héctor M.

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AB - We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.

KW - Fractional Fourier transform

KW - Quasiprobability distribution functions

KW - Reconstruction of the wave function

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Quasiprobability distribution functions from fractional Fourier transforms

Abstract

Keywords

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