Ionization and Excitation of Atomic Shells by Electron Impact in Semiclassical Approximation
In this paper we present some results concerning the calculation of the cross-sections of inelastic electron — atom collisions in the semiclassical approximation. We start with the formulas of the first order perturbation theory of quantum mechanics, but our aim will be not to calculate the corresponding matrix elements as exactly as possible, but rather to trace the transition from quantum to purely classical description of the collision process. So we use semiclassical wave functions for atomic electrons, stationary phase method for evaluation of integrals and so on.
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