scholarly journals The Husimi Distribution: Development and Applications

10.5772/53846 ◽  
2013 ◽  
Author(s):  
Sergio Curilef ◽  
Flavia Pennini
Keyword(s):  
Husimi Distribution

scholarly journals Coherent representation of fields and deformation quantization

2020 ◽  
Vol 17 (11) ◽  
pp. 2050166 ◽  
Author(s):  
Jasel Berra-Montiel ◽  
Alberto Molgado
Keyword(s):  
Phase Space ◽  
Deformation Quantization ◽  
Probability Distributions ◽  
Series Representation ◽  
Quantum Field ◽  
Husimi Distribution ◽  
Normal Star ◽  
Holomorphic Representation ◽  
Functional Distribution ◽  
Space Description

Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a scalar field within the deformation quantization program. Notably, the symbol of a symmetric ordered operator in terms of holomorphic variables may be straightforwardly obtained by the quantum field analogue of the Husimi distribution associated with a normal ordered operator. This relation also allows to establish a [Formula: see text]-equivalence between the Moyal and the normal star-products. In addition, by writing the density operator in terms of coherent states we are able to directly introduce a series representation of the Wigner functional distribution, which may be convenient in order to calculate probability distributions of quantum field observables without performing formal phase space integrals at all.

Chaos and Husimi Distribution Function in Quantum Mechanics

1985 ◽  
Vol 55 (7) ◽  
pp. 645-648 ◽  
Author(s):  
Kin'ya Takahashi ◽  
Nobuhiko Saitô
Keyword(s):  
Distribution Function ◽  
Quantum Mechanics ◽  
Husimi Distribution

The Husimi Distribution of Circular Billiard with an Applied Uniform Magnetic Field

2009 ◽  
Vol 48 (7) ◽  
pp. 2139-2146 ◽  
Author(s):  
Xueyou Xu ◽  
Hongyun Li ◽  
Yanhui Zhang ◽  
Song Gao ◽  
Shenglu Lin
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Husimi Distribution

On the zeros of the Husimi distribution

1997 ◽  
Vol 30 (20) ◽  
pp. L677-L684 ◽  
Author(s):  
H J Korsch ◽  
C Müller ◽  
H Wiescher
Keyword(s):  
Husimi Distribution
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