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Berezin Quantization of Gaussian Functions Depending by a Quantum and Compression Parameter
I.I.S. “G. Vallauri”, Fossano 12045 (CN), Piedmont, Italy
- 1 I.I.S. “G. Vallauri”, Fossano 12045 (CN), Piedmont, Italy
Journal of Quantum Information Science·Volume 09 (2019)·Pages 15–21·Published 8 March 2019·DOI10.4236/jqis.2019.91002
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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.
KeywordsBerezin QuantizationBerezin TransformGaussian FunctionsQuantum Harmonic OscillatorHeisenberg Uncertainty Principle
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