On The Relativistic Classical Motion of a Radiating Spinning Particle in a Magnetic Field

Arnab Kar; S. G. Rajeev

On The Relativistic Classical Motion of a Radiating Spinning Particle in a Magnetic Field

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arxiv 1010.0221 v1 pith:EK24LCEQ submitted 2010-10-01 hep-th hep-phmath-phmath.MP

Arnab Kar , S. G. Rajeev This is my paper · ORCID

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keywords motionequationsmagneticparticlecaseclassicalenergyfield

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We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion in a constant magnetic field (synchrotron motion) we verify that the particle does lose energy. Previous proposals did not predict dissipation of energy and also suffered from runaway solutions analogous to those of the Lorentz-Dirac equations of motion.

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Post-Newtonian Dynamics of Radiating Charges: Canonical Formulation and Binary Inspiral Laws
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Charged binaries are shown to spiral via 1.5PN dipole radiation reaction with 1PN/2PN conservative corrections, with explicit frequency, phase, and eccentricity evolution laws and a crossover scale.

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