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Covariant worldline numerics for charge motion with radiation reaction
Umeå University, Faculty of Science and Technology, Department of Physics.
University of Plymouth.
University of Plymouth.
University of Plymouth.
2011 (English)In: Physical Review D, ISSN 1550-7998, Vol. 83, 076013- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. Vol. 83, 076013- p.
Keyword [en]
Radiation Reaction, Numerics, Covariant
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Other Physics Topics
Research subject
URN: urn:nbn:se:umu:diva-39231DOI: 10.1103/PhysRevD.83.076013OAI: diva2:388604
Available from: 2011-01-18 Created: 2011-01-18 Last updated: 2012-01-26Bibliographically approved

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Harvey, Christopher
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