Analytic representations based on SU(1,1) coherent states and their applications

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dc.creatorBrif, C.
dc.creatorVourdas, A.
dc.creatorMann, A.
dc.date1996-07-26
dc.date.accessioned2026-07-07T10:59:06Z
dc.date.available2026-07-07T10:59:06Z
dc.descriptionWe consider two analytic representations of the SU(1,1) Lie group: the representation in the unit disk based on the SU(1,1) Perelomov coherent states and the Barut-Girardello representation based on the eigenstates of the SU(1,1) lowering generator. We show that these representations are related through a Laplace transform. A ``weak'' resolution of the identity in terms of the Perelomov SU(1,1) coherent states is presented which is valid even when the Bargmann index $k$ is smaller than one half. Various applications of these results in the context of the two-photon realization of SU(1,1) in quantum optics are also discussed.
dc.descriptionLaTeX, 15 pages, no figures, to appear in J. Phys. A. More information on http://www.technion.ac.il/~brif/science.html
dc.identifierhttps://arxiv.org/abs/quant-ph/9607022
dc.identifierhttp://arxiv.org/abs/quant-ph/9607022
dc.identifierJ.Phys.A29:5873-5886,1996
dc.identifierdoi:10.1088/0305-4470/29/18/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187338
dc.subjectQuantum Physics
dc.titleAnalytic representations based on SU(1,1) coherent states and their applications
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