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SU(1,1) covariant s-parametrized maps

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dc.contributor.authorKlimov, Andrei B.
dc.contributor.authorSeyfarth, Ulrich
dc.contributor.authorde Guise, Hubert
dc.contributor.authorSánchez Soto, Luis Lorenzo
dc.date.accessioned2023-06-17T08:59:09Z
dc.date.available2023-06-17T08:59:09Z
dc.date.issued2021-01-18
dc.description© 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).
dc.description.abstractWe 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.
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/64049
dc.identifier.doi10.1088/1751-8121/abd7b4
dc.identifier.issn1751-8113
dc.identifier.officialurlhttps://doi.org/10.1088/1751-8121/abd7b4
dc.identifier.relatedurlhttps://iopscience.iop.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7820
dc.issue.number6
dc.journal.titleJournal of physics. A, Mathematical and theoretical
dc.language.isoeng
dc.publisherIOP Publishing Ltd.
dc.relation.projectIDPGC2018-099183-B-I00
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordCoherent states
dc.subject.keywordQuantum-Mechanics
dc.subject.keywordRepresentations
dc.subject.keywordQuantization
dc.subject.keywordDynamics
dc.subject.keywordSu(2)
dc.subject.keywordFormulation
dc.subject.keywordOperators
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleSU(1,1) covariant s-parametrized maps
dc.typejournal article
dc.volume.number54
dspace.entity.typePublication
relation.isAuthorOfPublication88b797ff-cbd7-4498-a9c7-4e39f4fa4776
relation.isAuthorOfPublication.latestForDiscovery88b797ff-cbd7-4498-a9c7-4e39f4fa4776

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