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Klimov, Andrei B. and Seyfarth, Ulrich and de Guise, Hubert and Sánchez Soto, Luis Lorenzo (2021) SU(1,1) covariant s-parametrized maps. Journal of physics. A, Mathematical and theoretical, 54 (6). ISSN 1751-8113
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Official URL: https://doi.org/10.1088/1751-8121/abd7b4
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. 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.
Item Type: | Article |
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Additional Information: | © 2021 IOP Publishing Ltd. |
Uncontrolled Keywords: | Coherent states; Quantum-Mechanics; Representations; Quantization; Dynamics; Su(2); Formulation; Operators |
Subjects: | Sciences > Physics > Optics |
ID Code: | 64049 |
Deposited On: | 19 Feb 2021 16:39 |
Last Modified: | 29 Apr 2022 15:42 |
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