Coherent state quantization and phase operator

P.L. Garcia de Leon (1, 2) , J.-P. Gazeau

1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 APC (UMR_7164) - AstroParticule et Cosmologie

By using a coherent state quantization à la Klauder-Berezin, phase operators are constructed in finite Hilbert subspaces of the Hilbert space of Fourier series. The study of infinite dimensional limits of mean values of some observables leads towards a simpler convergence to the canonical commutation relations.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique Quantique [quant-ph]; Informatique et langage [cs.CL]

P.L. Garcia de Leon, J.-P. Gazeau. Coherent state quantization and phase operator. Physics Letters A, 2007, 361 (4-5), pp.301-304. ⟨10.1016/j.physleta.2006.09.065⟩. ⟨in2p3-00146874⟩