Abstract
The enhancement by a magnetic field of the deposition of energy by a relativistic electron beam is formulated via the diffusion approximation to the relativistic Fokker-Planck equation, valid when mean free path and/or gyration radius are much less than other characteristic lengths. Analytic solutions are given for a beam normally incident on a slab with $\stackrel{\ensuremath{\rightarrow}}{\mathrm{B}}$ parallel to the face. These indicate that the effect can be important.
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