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

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.

preprint2013arXivOpen access
Maciej PrzanowskiPrzemyslaw BrzykcyJaromir Tosiek
math-phmath.MPquant-ph
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Maciej PrzanowskiPrzemyslaw BrzykcyJaromir Tosiek

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