Coulomb Interactions in a Strong Magnetic Field. I. Adiabatic Case

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Abstract
The line contour of cyclotron radiation from free electrons is derived quantum mechanically, including the effects of Coulomb interactions on the time-varying part of the wave functions ("adiabaticity") as a perturbation in the Hamiltonian. The computation is similar to Lindholm's theory of atomic lines. The results, line shifts and half-widths, i.e., collision cross sections, are given for a variety of physical conditions. The limitations of the treatment are discussed.