Quantum and classical dissipation of charged particles

A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding quantum mechanical problems are solved for particular cases using canonical transformations applied to Hamiltonians for a p...

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Bibliographic Details
Published in:Annals of physics 2013-08, Vol.335, p.86-107
Main Authors: Ibarra-Sierra, V.G., Anzaldo-Meneses, A., Cardoso, J.L., Hernández-Saldaña, H., Kunold, A., Roa-Neri, J.A.E.
Format: Article
Language:English
Subjects:
CANONICAL TRANSFORMATIONS
CHARGED PARTICLES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Construction
Dissipation
ELECTRIC CHARGES
ELECTROMAGNETIC FIELDS
Energy dissipation
EVOLUTION
Exact result
Gaussian
GREEN FUNCTION
HAMILTONIANS
MASS
Normal distribution
PARTICLES
Particles (of physics)
Quantum dissipation
QUANTUM MECHANICS
Quantum physics
TIME DEPENDENCE
Transformations
WAVE PACKETS
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Summary:A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding quantum mechanical problems are solved for particular cases using canonical transformations applied to Hamiltonians for a particle with variable mass. Green’s function is constructed and, from it, the motion of a Gaussian wave packet is studied in detail. •Hamiltonian of a damped charged particle in time dependent electromagnetic fields.•Exact Green’s function of a charged particle in time dependent electromagnetic fields.•Time evolution of a Gaussian wave packet of a damped charged particle.•Classical and quantum dynamics of a damped electric charge.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2013.04.013