XXV Workshop on Geometric Methods in Physics 2-8.07.2006

Pedro Garcia de Leon

Coherent state quantization and phase operator

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 phase leads towards a simpler convergence to the canonical commutation relations.