$SU(1,1)$ covariant $s$-parametrized maps
Quantum Physics
2021-02-03 v1
Abstract
We propose a practical recipe to compute the -parametrized maps for systems with symmetry using a connection between the and 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.
Cite
@article{arxiv.2012.02993,
title = {$SU(1,1)$ covariant $s$-parametrized maps},
author = {Andrei B. Klimov and Ulrich Seyfarth and Hubert de Guise and L. L. Sanchez-Soto},
journal= {arXiv preprint arXiv:2012.02993},
year = {2021}
}
Comments
18 pages, 3 figures. Comments welcome!