Various aspects of the influence of the quasi-real photons and the Coulomb resonances on the formation of the crosssection of inelastic scattering of high energy electrons on atomic nuclei are investigated. E_miss is the energy that disappears in the processes of knocking-on of protons in the reactions . A new hypothesis that interprets the origin of the energy losses is proposed. Specific experiments that can confirm or refute this hypothesis are proposed as well. The “regularized” cross-sections of electro-disintegration of nuclei by high-energy electrons are calculated in the framework of the nuclear shell model. It is shown that for the experimental verification of the existence of Coulomb resonances, it is necessary to investigate the processes at relatively small angles of scattering. The peculiarities of numerical methods that are crucial in the investigation of inelastic scattering of high-energy electrons on nuclei in the framework of the nuclear shell model are analyzed in this work as well. The cross-sections of the scattering of high-energy electrons on the angle are calculated. It is shown that the orthogonality of the wave functions of a knocked-on proton in the initial and final states plays an important role in the interpretation of this process.

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The process of radiation of kinetic Alfvén Waves (KAWs) by a non-conventional global Alfvén eigenmode (NGAE) or a reversed-shear Alfvén eigenmode (modes which exist above maxima of Alfvén continuum branches) is studied analytically and numerically. The Schrödinger equation describing a localized NGAE and emitted KAWs in the space of radial wave number is derived. Analytical expressions for the mode eigenfrequencies, the radiative damping rates and the wave amplitudes are obtained. The results obtained analytically are in agreement with those obtained numerically by means of two codes based on different methods. It is found that the amplitude of the radiated KAWs can be as large as the amplitude of the radiating mode, with the radiative damping rate being rather small.

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