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Generalized Bargmann functions, their growth and von Neumann lattices

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arxiv 1111.0889 v2 pith:DIXUNROG submitted 2011-11-03 quant-ph

Generalized Bargmann functions, their growth and von Neumann lattices

A. Vourdas , K. A. Penson , G. H. E. Duchamp , A. I. Solomon This is my paper
classification quant-ph
keywords generalizedbargmanncoherentfunctionsgrowthstatesanalyticcomplex
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Generalized Bargmann representations which are based on generalized coherent states are considered. The growth of the corresponding analytic functions in the complex plane is studied. Results about the overcompleteness or undercompleteness of discrete sets of these generalized coherent states are given. Several examples are discussed in detail.

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