Vlasov A.A. Many-Particle Theory and Its Application to Plasma

Gordon and Breach, 1961. — 416 p.The present monograph is an exposition of a new theory of many particles, developed by the author and his students. The book generalizes work of the author previously published in the periodical press. The monograph is designed for theoretical and experimental physicists. The basic problems of the theory expounded here arose in the course of an investigation into the property of many-electron systems, an important place among which is taken by what is called electron plasma.
Such systems have special properties, which required the elaboration of a method that took into account not only “near" interactions (at distances smaller than the mean distance between particles), but also “distant” interactions, operating at distances greater than the magnitude in question. A particular method for calculating these interactions proved to be extremely accurate in expressing the fundamental properties of many-electron systems. On the basis of the proposed method, it was found possible to explain a large number of the observed phenomena. The principal superiority of this method consisted in its comparative simplicity and effectiveness.