Applicability of the Lorentz-Dirac equation for electrons in pulsar vacuum fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dirac Equation, Electrons, Equations Of Motion, Lorentz Transformations, Pulsars, Electromagnetic Fields, Particle Trajectories, Positrons, Vacuum

Scientific paper

The current crude estimates of the range of applicability of the classical Lorentz-Dirac equation severely restrict or even prohibit its use to study the motion of electrons in pulsar vacuum fields due to the high values of typical field strengths and particle energies. It is shown that these estimates can be improved if the particle trajectories are known and radiation damping is taken into account. In contrast to former results, the estimates obtained here do not contain the particle energies. For particles of given mass and charge they only restrict the admissible field strengths. Since for electrons or positrons and all currently known pulsar fields the derived conditions are satisfied, the Lorentz-Dirac equation may be applied to these particles without limitations.

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