%0 Journal Article
%T Berezin Quantization of Gaussian Functions Depending by a Quantum and Compression Parameter
%A Simone Camosso
%J Journal of Quantum Information Science
%P 15-21
%@ 2162-576X
%D 2019
%I Scientific Research Publishing
%R 10.4236/jqis.2019.91002
%X 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 <span style=\"white-space:nowrap;font-family:Verdana;font-size:12px;\">¦Á</span><span style=\"font-family:Verdana;font-size:12px;\"></span><span style=\"font-family:Verdana;font-size:12px;\">, </span><span style=\"font-family:Verdana;\">which</span><span style=\"font-size:10pt;font-family:;\" \"=\"\"><span style=\"font-family:Verdana;font-size:12px;\"> describes the relationship between the classical and quantum vision. The
compression parameter </span><span style=\"white-space:nowrap;font-family:Verdana;font-size:12px;\">¦Ë&gt;0</span><span style=\"font-family:Verdana;font-size:12px;\"></span><span style=\"font-family:Verdana;font-size:12px;\"> is associated to the
harmonic oscillator semigroup.</span></span>
%K Berezin Quantization
%K Berezin Transform
%K Gaussian Functions
%K Quantum Harmonic Oscillator
%K Heisenberg Uncertainty Principle
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=90996