Acta Physica Hungarica B) Quantum Electronics

Squeezed States, Gauge Invariance and Wigner Functions of a Particle in a Homogeneous Magnetic Field

M. G. Benedict, Attila Czirják, François Maria Peeters

Published Jan 1, 2004• 2 citations

Publisher

DOI: 10.1556/aph.20.2004.1-2.8

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Acta Physica Hungarica B) Quantum Electronics

Squeezed States, Gauge Invariance and Wigner Functions of a Particle in a Homogeneous Magnetic Field

M. G. Benedict, Attila Czirják, François Maria Peeters

Published Jan 1, 2004• 2 citations

Publisher

DOI: 10.1556/aph.20.2004.1-2.8

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Ya. A. Korennoy

Gauge-independent Husimi function ( $Q-$ function) of states of charged quantum particles in the electro-magnetic field is introduced using the gauge-independent Stratonovich-Wigner function, the corresponding dequantizer and quantizer operators transforming the density matrix of state to the Husimi function and vice versa are found explicitly, and the evolution equation for such function is derived. Also own gauge-independent non-Stratonovich Wigner function is suggested and its Husimi function is obtained. Dequantizers and quantizers for these Wigner and Husimi functions are given.Gauge-independent Husimi function ($Q-$function) of states of charged quantum particles in the electro-magnetic field is introduced using the gauge-independent Stratonovich-Wigner function, the corresponding dequantizer and quantizer operators transforming the density matrix of state to the Husimi function and vice versa are found explicitly, and the evolution equation for such function is derived. Also own gauge-independent non-Stratonovich Wigner function is suggested and its Husimi function is obtained. Dequantizers and quantizers for these Wigner and Husimi functions are given.

arXiv:1806.06443Jun 17, 20181 citation

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Antoine Royer

Lecture notes in physicsJan 1, 19873 citations

Gauge-independent Husimi function (

Q-

function) of states of charged quantum particles in the electro-magnetic field is introduced using the gauge-independent Stratonovich-Wigner function, the corresponding dequantizer and quantizer operators transforming the density matrix of state to the Husimi function and vice versa are found explicitly, and the evolution equation for such function is derived. Also own gauge-independent non-Stratonovich Wigner function is suggested and its Husimi function is obtained. Dequantizers and quantizers for these Wigner and Husimi functions are given.