Analytic Representations in Terms of d2 Coherent States using Theta Functions

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Analytic Representations in Terms of d2 Coherent States using Theta Functions

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Abstract

Quantum systems with finite Hilbert space are studied. In d-dimensional Hilbert space, the marginal properties of displacement operators when d Ã¯ÂƒÂŽ Z are studied. An analytic representation of finite quantum systems, based on d2 coherent states is considered. The entropic uncertainty relations for this set of coherent states are also considered.