Quasiprobability Distribution Functions from Fractional Fourier Transforms

被引：3

作者：

Anaya-Contreras, Jorge A. ^{[1
]}

Zuniga-Segundo, Arturo ^{[1
]}

Moya-Cessa, Hector M. ^{[2
]}

机构：

[1] Inst Politecn Nacl, ESFM, Dept Fis, Unidad Profes Adolfo Lopez Mateos, Edificio 9, Mexico City 07738, DF, Mexico

[2] Inst Nacl Astrofis Opt & Electr, Calle Luis Enrique Erro 1, Puebla 72840, Mexico

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 03期

关键词：

quasiprobability distribution functions; fractional Fourier transform; reconstruction of the wave function; QUANTUM-STATE; WIGNER FUNCTION; RECONSTRUCTION; LIGHT; FIELD;

D O I：

10.3390/sym11030344

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：10

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