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In this book we have solved the complicated problem of constructing upper bounds for many-time averages for the case of a fairly broad class of model systems with four-fermion interaction. The methods proposed in this book for solving this problem will undoubtedly find application not only for the model systems associated with the theory of superconductivity considered here. The theoretical methods developed in Chapters 1 and 2 are already applicable to a much broader class of model systems from statistical physics and the theory of elementary particles.
Selected works of N. N. Bogolubov
This volume contains some of Bogolubov's papers on quantum field theory and the theory of elementary particles. The work undertaken by the author in the 1950s gave rise to some entirely new concepts, which include his suggestion that an appropriate mathematical method for quantum field theory should involve distributions, and his dismissal of his contemporaries' view of divergences as a problem. Also included in this collection are Bogolubov's proof of the theorem that the scattering matrix is determined in each order of peturbation theory up to quasi-local operators, together with his formulation of the method of the renormalization group in quantum field theory
A collection of Bogolubov's papers on dynamical theory, which introduce the key concept of the hierarchy of relaxation times in statistical physics. A method of obtaining a system of coupled equations for the probability densities for groups of one or more particles is proposed. This has proved to be the most effective method in statistical mechanics for equilibrium and non-equilibrium to date. In his papers, Bogolubov clarifies how stochastic behaviour, which is specific for a macroscopic description, arises in a purely mechanistic approach, in which microscopic equations of dynamical theory are used.
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