Covariant worldline numerics for charge motion with radiation reaction

Journal Article · Fri Apr 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.076013· OSTI ID:21537768

Harvey, Chris; Heinzl, Thomas; Iji, Nicola; Langfeld, Kurt ^[1]

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1. Department of Physics, Umeaa University, SE-901 87 Umeaa (Sweden)

We develop a numerical formulation to calculate the classical motion of charges in strong electromagnetic fields, such as those occurring in high-intensity laser beams. By reformulating the dynamics in terms of SL(2,C) matrices representing the Lorentz group, our formulation maintains explicit covariance, in particular, the mass-shell condition. Considering an electromagnetic plane wave field where the analytic solution is known as a test case, we demonstrate the effectiveness of the method for solving both the Lorentz force and the Landau-Lifshitz equations. The latter, a second order reduction of the Lorentz-Abraham-Dirac equation, describes radiation reaction without the usual pathologies.

• OSTI ID: 21537768
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 7; Other Information: DOI: 10.1103/PhysRevD.83.076013; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
COMPUTERIZED SIMULATION
DIRAC EQUATION
ELECTROMAGNETIC FIELDS
LASER RADIATION
LORENTZ FORCE
LORENTZ GROUPS
MASS
PHOTON BEAMS
RADIATIVE DECAY
WAVE PROPAGATION
BEAMS
DECAY
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FIELD EQUATIONS
LIE GROUPS
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE DECAY
POINCARE GROUPS
RADIATIONS
SIMULATION
SYMMETRY GROUPS
WAVE EQUATIONS