Bogolubov N.N., Bogolubov Jr. N.N. Introduction to Quantum Statistical Mechanics

2nd Edition. — World Scientific Publishing Co. Pte. Ltd., 2010. — 439 p. — ISBN13: 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.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