A non group theoretic proof of completeness of arbitrary coherent states $D(\alpha )\mid f>$

Abstract

A new proof for the completeness of the coherent states $D(\alpha )\mid f>$ for the Heisenberg Weyl group and the groups $SU(2)$ and $SU(1,1)$ is presented. Generalizations of these results and their consequences are disussed.

arXiv comment10 pages, latex, no figures

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