An unphysical result for the Landau–Lifshitz equation of motion for a charged particle
G. Ares de Pargaa, R. Maresa, and S. Domínguezb
a Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, U.P. Adolfo López Mateos, Zacatenco, México D.F., C.P. 07738, México.
b Escuela Superior de Cómputo, Instituto Politécnico Nacional, U.P. Adolfo López Mateos, Zacatenco, México D.F., C.P. 07738, México.
Recibido el 27 de mayo de 2005 ]]> Aceptado el 9 de enero de 2006
Abstract
An unphysical result for the Landau–Lifshitz equation of motion for a charged particle is presented. The similarity with the Lorentz–Dirac equation is discussed. Indeed the reaction force obtained for the uniform electric field vanishes when the motion is parallel to it in both cases. A discussion of this unphysical result is given and the need for of an expression for the radiation rate of energy for the Landau–Lifshitz theory is emphasized.
Keywords: Special relativity; classical field theories; radiation reaction force.
Resumen
Se presenta un resultado no físico en la ecuación de movimiento de Landau–Lifshitz para una partícula cargada. Se discute la similitud con la ecuación de Lorentz–Dirac. En efecto, la fuerza de reacción a la radiación obtenida para el caso de un campo eléctrico constante y paralelo al movimiento se anula en ambos casos. Se realiza un análisis del resultado no físico y se hace énfasis en encontrar una expresión de la taza de energía radiada en la teoría de Landau–Lifshitz.
Descriptores: Relatividad espacial; teorías de campo clasicas; fuerza de reacción a la radiación.
]]> PACS: 03.30; 03.50; 03.50.De
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Acknowledgments
This work was partially supported by C.O.F.A.A. and E.D.I.–IPN.
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