Abstract
The effects of a magnetic field on the self-shielding of an electron gas against small electrostatic perturbations V are studied by use of Bloch wave functions and by the random phase approximation. V is taken to be periodic along the field lines. It is demonstrated that in the weak field limit, μ 0B eV → 0 , magnetic effects become negligible. For μ 0 B ⪢ eV such effects may be important only under limited physical conditions. Singularities discussed by Glasser and Kaplan [1] are replaced by peaks of finite amplitude and width, appearing with the frequency of neck orbit oscillations. Peak profiles and the Lindhard singularity are investigated for the case V ≠ 0.
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