Quantum kinetic theory of trapped particles in a strong electromagnetic field

The idea of treating quantum systems by semiclassical representations using effective quantum potentials (forces) has been successfully applied in equilibrium by many authors, see e.g. [D. Bohm, Phys. Rev. 85 (1986) 166 and 180; D.K. Ferry, J.R. Zhou, Phys. Rev. B 48 (1993) 7944; A.V. Filinov, M. Bo...

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Bibliographic Details
Published inAnnals of physics Vol. 323; no. 12; pp. 3158 - 3174
Main Authors Fromm, Andrea, Bonitz, Michael, Dufty, James
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.12.2008
Elsevier BV
Subjects
BORN APPROXIMATION
CHARGED PARTICLES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Confined charges
CONFINEMENT
Effective quantum potentials
ELECTROMAGNETIC FIELDS
Electromagnetism
GAUGE INVARIANCE
GREEN FUNCTION
KINETIC EQUATIONS
KINETICS
Nonequilibrium Green’s functions
Particle physics
POTENTIALS
Quantum kinetic theory
Quantum theory
SEMICLASSICAL APPROXIMATION
SPECTRAL DENSITY
Strong electromagnetic fields
TRAPPING
Effective quantum potentials
Nonequilibrium Green’s functions
Confined charges
Strong electromagnetic fields
Quantum kinetic theory
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Summary:The idea of treating quantum systems by semiclassical representations using effective quantum potentials (forces) has been successfully applied in equilibrium by many authors, see e.g. [D. Bohm, Phys. Rev. 85 (1986) 166 and 180; D.K. Ferry, J.R. Zhou, Phys. Rev. B 48 (1993) 7944; A.V. Filinov, M. Bonitz, W. Ebeling, J. Phys. A 36 (2003) 5957 and references cited therein]. Here, this idea is extended to nonequilibrium quantum systems in an external field. A gauge-invariant quantum kinetic theory for weakly inhomogeneous charged particle systems in a strong electromagnetic field is developed within the framework of nonequilibrium Green’s functions. The equation for the spectral density is simplified by introducing a classical (local) form for the kinetics. Nonlocal quantum effects are accounted for in this way by replacing the bare external confinement potential with an effective quantum potential. The equation for this effective potential is identified and solved for weak inhomogeneity in the collisionless limit. The resulting nonequilibrium spectral function is used to determine the density of states and the modification of the Born collision operator in the kinetic equation for the Wigner function due to quantum confinement effects.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2008.08.001