Quantum and classical dissipation of charged particles

Journal Article · Thu Aug 15 00:00:00 EDT 2013 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.04.013· OSTI ID:22220767

Ibarra-Sierra, V. G. ^[1]; Anzaldo-Meneses, A.; Cardoso, J. L.; Hernández-Saldaña, H. ^[2]; Roa-Neri, J. A.E. ^[2]

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1. Departamento de Física, Universidad Autónoma Metropolitana at Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina, 09340 México D.F. (Mexico)
2. Área de Física Teórica y Materia Condensada, Universidad Autónoma Metropolitana at Azcapotzalco, Av. San Pablo 180, Col. Reynosa-Tamaulipas, Azcapotzalco, 02200 México D.F. (Mexico)

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. -- Highlights: •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.

• OSTI ID: 22220767
• Journal Information: Annals of Physics (New York), Vol. 335; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
CHARGED PARTICLES
ELECTRIC CHARGES
ELECTROMAGNETIC FIELDS
EVOLUTION
GREEN FUNCTION
HAMILTONIANS
MASS
PARTICLES
QUANTUM MECHANICS
TIME DEPENDENCE
WAVE PACKETS