A class of vector coherent states defined over matrix domains

2003/05/17 by T. Kengatharam, S. Twareque Ali, Kengatharam, T. +1
Mathematics · Physics and Astronomy · #81-xx #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:81-xx

paper · pdf · doi:10.48550/arxiv.math-ph/0305036

14 pages

arxiv created 2003/05/17 · arxiv updated 2009/11/30

Abstract

A 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).

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