From the Weyl quantization of a particle on the circle to number-phase Wigner functions

Maciej Przanowski; Przemyslaw Brzykcy; Jaromir Tosiek

doi:10.1016/j.aop.2014.10.011

From the Weyl quantization of a particle on the circle to number-phase Wigner functions

Mathematical Physics 2015-06-18 v1 math.MP Quantum Physics

Authors: Maciej Przanowski , Przemyslaw Brzykcy , Jaromir Tosiek

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Abstract

A generalized Weyl quantization formalism for a particle on the circle investigated in \cite{1} is developed. A Wigner function for the state $\hat{\varrho}$ and the kernel $\mathcal{K}$ for a particle on the circle is defined and its properties are analyzed. Then it is shown how this Wigner function can be easily modified to give the number-phase Wigner function in quantum optics. Some examples of such number-phase Wigner function are considered.

Keywords

Weyl quantization particle on the circle Wigner function number-phase Wigner function quantum optics

Cite

@article{arxiv.1311.7335,
  title  = {From the Weyl quantization of a particle on the circle to number-phase Wigner functions},
  author = {Maciej Przanowski and Przemyslaw Brzykcy and Jaromir Tosiek},
  journal= {arXiv preprint arXiv:1311.7335},
  year   = {2015}
}

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22 pages, 6 figures

From the Weyl quantization of a particle on the circle to number-phase Wigner functions

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