Coherent states on the circle

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dc.creatorGonzalez, Jose A.
dc.creatordel Olmo, Mariano A.
dc.date1998-09-09
dc.date.accessioned2026-07-07T10:55:07Z
dc.date.available2026-07-07T10:55:07Z
dc.descriptionA careful study of the physical properties of a family of coherent states on the circle, introduced some years ago by de Bièvre and González in [DG 92], is carried out. They were obtained from the Weyl-Heisenberg coherent states in $L^2(\R)$ by means of the Weil-Brezin-Zak transformation, they are labeled by the points of the cylinder $S^1 \times \R$, and they provide a realization of $L^2(S^1)$ by entire functions (similar to the well-known Fock-Bargmann construction). In particular, we compute the expectation values of the position and momentum operators on the circle and we discuss the Heisenberg uncertainty relation.
dc.descriptionAMS-TeX file, 20 pages, 4 PostScript figures. To be published in J. Phys. A
dc.identifierhttps://arxiv.org/abs/quant-ph/9809020
dc.identifierhttp://arxiv.org/abs/quant-ph/9809020
dc.identifierJ.Phys.A31:8841-8857,1998
dc.identifierdoi:10.1088/0305-4470/31/44/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186018
dc.subjectQuantum Physics
dc.titleCoherent states on the circle
dc.typetext

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