From the Weyl quantization of a particle on the circle to number-phase Wigner functions
Abstract
A generalized Weyl quantization formalism for a particle on the circle investigated in 1 is developed. A Wigner function for the state and the kernel 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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