Abstract We propose a practical recipe to compute the s -parametrized maps for systems with SU(1, 1) symmetry using connection between Q- and P- symbols through action of an operator invariant under group. This establishes equivalence relations 1)-covariant maps. The particular case self-dual (Wigner) phase-space functions, defined on upper sheet two-sheet hyperboloid (or, equivalently, inside ...

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Michael Gronau, 2 Dan Pirjol, Amarjit Soni, and Jure Zupan 6 Physics Department, Technion–Israel Institute of Technology 32000 Haifa, Israel Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309 Center for Theoretical Physics, Massachusetts Institute for Technology, Cambridge, MA 02139 Physics Department, Brookhaven National Laboratory, Upton, New York 11973 5 Department o...