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Showing 1 to 1 of 1 for “"Analytic functions; Theta functions; Bargmann functions; Finite quantum systems"”.
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Analytic representations of quantum systems with Theta functions
Quantum systems in a d-dimensional Hilbert space are considered, where the phase spase is Z(d) x Z(d). An analytic representation in a cell S in the complex plane using Theta functions, is defined. The analytic functions have exactly d zeros in a cell S. The reproducing kernel plays a central role …