Cyclotron radiation, conservation laws, and a correction to the synchrotron loss formula

Astronomy and Astrophysics – Astronomy

Scientific paper

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Conservation Laws, Cyclotron Radiation, Relativistic Particles, Stellar Physics, Synchrotron Radiation, Black Holes (Astronomy), Carrier Injection, Electron Orbitals, Power Spectra, Pulsars, Stellar Magnetic Fields

Scientific paper

The well-known expression (Schwinger 1949) for the synchrotron radiation by a relativistic electron moving in a magnetic field, used in the interpretation of most radio astronomical data and for the output of laboratory accelerators, is based upon a formulation which does not simultaneously conserve energy and momentum. Attention to the problem first arose in connection with quantised cyclotron radiation in high magnetic fields. Here the authors demonstrate that by correctly accounting for the radiation reaction on the electron and the source of the magnetic field, the conservation laws are obeyed and a paradox is resolved. Corrections to synchrotron loss rates and spectra, relevant to some important astrophysical situations, are given.

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