Publisher's Synopsis
This text is devoted to a consistent representation of basic concepts and ideas of quantum statistical mechanics, including problems in the theory of a non-ideal Bose gas, superfluidity, superconductivity and fundamental aspects of quasi-averages. The authors consider, in particular, the Liouville equation in classical and quantum mechanics, canonical distributions and thermodynamic functions. They also discuss model systems consisting of different kinds of particles. They offer a new approach to the method of the second quantized representation that is distinguished by its generality, the simplicity of its proofs and the natural formulation of problems. This mathematical examination of the topic should be of interest to senior undergraduate, graduate and research workers in statistical physics and statistical mechanics.