A class of vector coherent states defined over matrix domains

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dc.creatorKengatharam, T.
dc.creatorAli, S. Twareque
dc.date2003-05-17
dc.date.accessioned2026-07-07T04:30:12Z
dc.date.available2026-07-07T04:30:12Z
dc.descriptionA general scheme is proposed for constructing vector coherent states, in analogy with the well-known canonical coherent states, and their deformed versions, when these latter are expressed as infinite series in powers of a complex variable $z$. In the present scheme, the variable $z$ is replaced by a matrix valued function over appropriate domains. As particular examples, we analyze the quaternionic extensions of the the canonical coherent states and the Gilmore-Perelomov and Barut-Girardello coherent states arising from representations of SU(1,1).
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0305036
dc.identifierhttp://arxiv.org/abs/math-ph/0305036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57392
dc.subjectMathematical Physics
dc.subject81-xx
dc.titleA class of vector coherent states defined over matrix domains
dc.typetext

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