The guide highlights some of the major issues of modern quantum statistical mechanics: canonical transformations and their application for research of spectra of quasiparticle excitations, the output control of (Zwanzig, Zubarev, Kalashnikov, Pauli) method of projection operators, the method of quantum Green's functions and its application in modern quantum physics of nonequilibrium condensed state. This guide may be useful for senior students, graduate students and teachers of physical faculties, particularly specializing in the field of quantum mechanics, condensed matter physics and statistical physics of nonequilibrium processes.
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