From the Weyl quantization of a particle on the circle to number-phase Wigner functions
| Autor: | Przanowski, Maciej, Brzykcy, Przemyslaw, Tosiek, Jaromir |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aop.2014.10.011 |
| Popis: | 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. Comment: 22 pages, 6 figures |
| Databáze: | arXiv |
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