Abstract
A semi-classical quantum theory of the cyclotron radiation of the nonrelativistic thermal electrons in a very strong magnetic field is presented. The basic formulae of the absorption coefficient of cyclotron resonancekvand the absorption (scattering) cross-section of cyclotron resonance σv have been derived under the quadrupole approximation. σv is an important quantity in the study of the “magnetic inverse-Compton scattering”. It is shown that σv is greatly larger than the Thomson cross-sectron σT, which is important in discussing the magnetic inverse-Compton scattering of the relativistic electrons in a very strong magnetic field.
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