2nd Edition. — World Scientific Publishing Co. Pte. Ltd., 2010. — 439 p. — ISBN-13 978-981-4295-19-2.Introduction to Quantum Statistical Mechanics (2nd Edition) may be used as an advanced textbook by graduate students, even ambitious undergraduates in physics. It is also suitable for non experts in physics who wish to have an overview of some of the classic and fundamental quantum models in the subject. The explanation in the book is detailed enough to capture the interest of the reader, and complete enough to provide the necessary background material needed to dwell further into the subject and explore the research literature. Contents Quantum statistical mechanics The liouville equation in classical mechanics The liouville equation in quantum mechanics Canonical distribution and thermodynamic functions Two-time correlation functions and the green functions in the theory of statistical equilibrium Statistical operators Some aspects of the method of secondary quantization Matrix representation of symmetric dynamical operators Passing from continuous to discrete representation. Introduction Of the occupation numbers Representation of secondary quantization for wave functions of bosons and fermions Representation of secondary quantization for dynamical operators General remarks on the method of secondary quantization Some analogues of the method of secondary quantization in classical mechanics Quadratic hamiltonians and their application Quadratic hamiltonians in statistical mechanics Diagonalization of arbitrary quadratic forms Superfluidity and quasi-averages in problems of statistical mechanics Superfluidity and a non-ideal bose gas Quasi-averages in problems of statistical mechanics On the definition of quasi-averages for a hamiltonian with negative four-fermion interaction The principle of correlation weakening and theorems on singularities of type 1=q2 On some questions connected with problems of the foundation of statistical mechanics
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