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arxiv: quant-ph/0605119 · v2 · pith:M33E3LEEnew · submitted 2006-05-13 · 🪐 quant-ph

Coherent state quantization and phase operator

classification 🪐 quant-ph
keywords phasecoherenthilbertquantizationstatecanonicalcommutationconstructed
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Phase operators are constructed using a Klauder-Berezin coherent state quantization in finite Hilbert subspaces of the Hilbert space of Fourier series. The study of infinite dimensional limits of mean values of some observables phase leads towards a simpler convergence to the canonical commutation relations.

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