$SU(1,1)$ covariant $s$-parametrized maps
| Autor: | Klimov, Andrei B., Seyfarth, Ulrich, de Guise, Hubert, Sanchez-Soto, L. L. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/abd7b4 |
| Popis: | We propose a practical recipe to compute the ${s}$-parametrized maps for systems with $SU(1,1)$ symmetry using a connection between the ${Q}$ and ${P} $ symbols through the action of an operator invariant under the group. The particular case of the self-dual (Wigner) phase-space functions, defined on the upper sheet of the two-sheet hyperboloid (or, equivalently, inside the Poincar\'{e} disc) are analyzed. Comment: 18 pages, 3 figures. Comments welcome! |
| Databáze: | arXiv |
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