TITLE:
Berezin Quantization of Gaussian Functions Depending by a Quantum and Compression Parameter
AUTHORS:
Simone Camosso
KEYWORDS:
Berezin Quantization, Berezin Transform, Gaussian Functions, Quantum Harmonic Oscillator, Heisenberg Uncertainty Principle
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.9 No.1,
March
8,
2019
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 α, which describes the relationship between the classical and quantum vision. The
compression parameter λ>0 is associated to the
harmonic oscillator semigroup.