2026-06-08T04:51:40Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/78202023-08-25T11:12:34Zcom_20.500.14352_14col_20.500.14352_15

SU(1,1) covariant s-parametrized maps Klimov, Andrei B. Seyfarth, Ulrich de Guise, Hubert Sánchez Soto, Luis Lorenzo 535 Coherent states Quantum-Mechanics Representations Quantization Dynamics Su(2) Formulation Operators Óptica (Física) 2209.19 Óptica Física © 2021 IOP Publishing Ltd. We dedicate this work to the memory of Prof. David J Rowe, of the University of Toronto. The work of ABK is partially supported by the Grant 254127 of CONACyT (Mexico); HdG is supported in part by NSERC of Canada, LLSS is supported by the Spanish Ministerio de Ciencia e Innovacion (Grant PGC2018-099183-B-I00). 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. This establishes equivalence relations between s-parametrized SU(1, 1)-covariant maps. 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 Poincare disc) are analysed. Ministerio de Ciencia e Innovación (MICINN) Fac. de Ciencias Físicas TRUE pub 2023-06-17T08:59:09Z 2023-06-17T08:59:09Z 2021-01-18 journal article https://hdl.handle.net/20.500.14352/7820 1751-8113 10.1088/1751-8121/abd7b4 eng PGC2018-099183-B-I00 open access application/pdf IOP Publishing Ltd.