English

Quasiprobability distribution functions from fractional Fourier transforms

Quantum Physics 2019-02-19 v1

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

Cite

@article{arxiv.1902.06031,
  title  = {Quasiprobability distribution functions from fractional Fourier transforms},
  author = {Jorge A. Anaya-Contreras and A. Zúñiga-Segundo and Héctor M. Moya-Cessa},
  journal= {arXiv preprint arXiv:1902.06031},
  year   = {2019}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-23T07:42:29.015Z