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Relativity in Modern Physics$
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Nathalie Deruelle and Jean-Philippe Uzan

Print publication date: 2018

Print ISBN-13: 9780198786399

Published to Oxford Scholarship Online: October 2018

DOI: 10.1093/oso/9780198786399.001.0001

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Radiation by a charge

Radiation by a charge

(p.352) 18 Radiation by a charge
Relativity in Modern Physics

Nathalie Deruelle

Jean-Philippe Uzan

Oxford University Press

This chapter takes a look at the energy radiated by a single charge. After deriving the Larmor formulas, it studies the paradigmatic cases of the radiation of a linearly accelerated charge. Next, it turns to the synchrotron radiation of a charge in circular motion. Finally, the chapter considers the radiation of a charge accelerated by an electromagnetic wave—Thomson scattering, which is when the energy is radiated to infinity. In addition, the chapter also reveals that the hydrogen atom as described by the Rutherford model of an electron orbiting a proton is highly unstable in Maxwell theory.

Keywords:   radiation, Larmor formulas, linearly accelerated charge, synchrotron radiation, circular motion, electromagnetic wave, Thomson scattering, Rutherford model, Maxwell theory

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