This textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects. It develops modern methods to treat such systems and demonstrates their application through numerous appropriate exercises, mainly from the field of solid state physics. The book is written in a tutorial style appropriate for those who want to learn many-body theory and eventually to use this to do research work in this field. The exercises, together with full solutions for evaluating one's performance, help to deepen understanding of the main aspects of many-particle systems.

This revised second edition presents new sections on the finite-temperature Matsubara formalism, in particular with respect to Dyson equation, the Hartree-Fock approximation, second order perturbation theory, spin density waves, Hubbard model, Jellium model, quasi particles, Fermi liquids and multi particle Matsubara functions.

Completing the outstanding Theoretical Physics series, this book will be a valuable resource for advanced students and researchers alike.

Prof. Dr Wolfgang Nolting is an emeritus professor of physics of the German Humboldt University in Berlin, whose research interests span solid state physics and magnetism. He has over 40 years of teaching experience at various institutions including the University of Münster, ETH Zürich, the University of Würzburg and the Universidad de Valladolid in Spain. His acclaimed German textbook series on Theoretical Physics has now attained the rank of a standard work in physics education. Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews.

The Second Quantisation.- Many-Body Model Systems.- Green's Functions.- Systems of Interacting Particles.- Perturbation Theory (T = 0).- Perturbation Theory at Finite Temperatures.- Solutions of the Exercises.- Appendix.- Index.