A theory is given of the excitation of plasmons by fast electrons in solids with a spatially inhomogeneous surface. The properties of the surface are described similarly as in the theory of the anomalous skin effect. The probability of the excitation of plasmons is expressed through the retarded Green's function of the electric field. The Dyson equation for this Green's function is solved by the Fock method. It is shown that the surface roughness influences the probability of the excitation of the bulk as well as of the surface plasmons. The latter exhibit additional damping due to the surface roughness.

The mechanism of weak localization of relatively fast electrons scattered with a fixed energy loss from disordered media is examined. The main focus of this paper is to put forward an explanation for why coherent enhancement of electron scattering in the inelastic-scattering channel takes place at angles which differ from . A simplified kinematic model is proposed to determine the basic properties of the weak localization of electrons in the inelastic scattering channel. The model easily reproduces the range of scattering angles typical for the weak localization of electrons with fixed energy loss. The procedure does not require calculation of the contribution from the crossed diagrams. The results agree with those based on the dynamical theory associated with the calculation of the crossed and ladder diagrams. It is possible to follow the transition from the weak localization of the new type to the ordinary weak localization with decreasing energy loss. The weak localization of the new type is in accord with the weak localization of regular type if the energy loss is about the energy of an optical phonon.

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