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arXiv · 1311.7335

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

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.

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Maciej Przanowski, Przemyslaw Brzykcy, Jaromir Tosiek. 2013-11-28. From the Weyl quantization of a particle on the circle to number-phase Wigner functions. https://doi.org/10.1016/j.aop.2014.10.011

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