Berezin quantization of Gaussian functions depending by a quantum and compression parameter

Abstract

The aim of this work is to study the Berezin quantization of a Gaussian state. The result is another Gaussian state that depends on a quantum parameter $\alpha$, that describes the relationship between the classical and quantum vision. The compression parameter $\lambda >0$ is associated to the harmonic oscillator semigroup.

References in corpus (1)

• Uncertainty principles for the Fock space