Coherent quantum states of a relativistic particle in an electromagnetic plane wave and a parallel magnetic field

Journal Article · Sat Mar 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.01.001· OSTI ID:22224306

Colavita, E. ^[1]

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1. Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México, México, D.F., 09790 (Mexico)

We analyze the solutions of the Klein–Gordon and Dirac equations describing a charged particle in an electromagnetic plane wave combined with a magnetic field parallel to the direction of propagation of the wave. It is shown that the Klein–Gordon equation admits coherent states as solutions, while the corresponding solutions of the Dirac equation are superpositions of coherent and displaced-number states. Particular attention is paid to the resonant case in which the motion of the particle is unbounded. -- Highlights: •We study a relativistic electron in a particular electromagnetic field configuration. •New exact solutions of the Klein–Gordon and Dirac equations are obtained. •Coherent and displaced number states can describe a relativistic particle.

• OSTI ID: 22224306
• Journal Information: Annals of Physics (New York), Vol. 342; Other Information: Copyright (c) 2014 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
ANNIHILATION OPERATORS
CHARGED PARTICLES
DIRAC EQUATION
EIGENSTATES
ELECTROMAGNETIC FIELDS
ELECTROMAGNETIC RADIATION
ELECTRONS
EXACT SOLUTIONS
MAGNETIC FIELDS
QUANTUM STATES
RELATIVISTIC RANGE
WAVE PROPAGATION