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arXiv · 2012.02993

$SU(1,1)$ covariant $s$-parametrized maps

Andrei B. Klimov·Ulrich Seyfarth·Hubert de Guise·L. L. Sanchez-Soto
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Abstract

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.

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Andrei B. Klimov, Ulrich Seyfarth, Hubert de Guise, L. L. Sanchez-Soto. 2020-12-05. $SU(1,1)$ covariant $s$-parametrized maps. https://doi.org/10.1088/1751-8121%2Fabd7b4

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