English

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

Mathematical Physics 2019-07-19 v2 math.MP

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\alpha, that describes the relationship between the classical and quantum vision. The compression parameter λ>0\lambda >0 is associated to the harmonic oscillator semigroup.

Keywords

Cite

@article{arxiv.1811.01758,
  title  = {Berezin quantization of Gaussian functions depending by a quantum and compression parameter},
  author = {Simone Camosso},
  journal= {arXiv preprint arXiv:1811.01758},
  year   = {2019}
}
R2 v1 2026-06-23T05:04:29.370Z