© 2014

Quantum Theory of Many-Body Systems

Techniques and Applications


Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Alexandre Zagoskin
    Pages 1-51
  3. Alexandre Zagoskin
    Pages 53-100
  4. Alexandre Zagoskin
    Pages 157-225
  5. Alexandre Zagoskin
    Pages 227-261
  6. Back Matter
    Pages 263-280

About this book


This text presents a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, uses the mathematical formalism of quasiparticles and Green’s functions. In particular, it covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory and the Matsubara, Keldysh and Nambu-Gor'kov formalism, as well as an introduction to Feynman path integrals.

This new edition contains an introduction to the methods of theory of one-dimensional systems (bosonization and conformal field theory) and their applications to many-body problems.  

Intended for graduate students in physics and related fields, the aim is not to be exhaustive, but to present enough detail to enable the student to follow the current research literature, or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout their volume, and which therefore provides an ideal testing ground for many-body theories.


Advanced Quantum Theory Textbook Conformal Field Theory Green’s Functions Many-body Systems Many-body Theories Many-particle Physics Many-particle Systems Mesoscopic Superconductivity Perturbation Theory Quantum Coherent Systems Quantum Many-body Theory

Authors and affiliations

  1. 1.Department of PhysicsLoughborough UniversityLeicestershireUnited Kingdom

About the authors

Alexandre Zagoskin is Reader in Quantum Physics in the Department of Physics at Loughborough University. In his career, he has published over 90 articles in refereed journals, 2 books (including the first edition of Quantum Theory of Many-Body Systems [Springer, 978-0-387-98384-4, 1998]), and 23 patents. He is Fellow of the Institute of Physics (FInstP) UK.

Bibliographic information