© 2002

Many-Body Problems and Quantum Field Theory

An Introduction


  • Carefully select the really important applications of quantum physics to the physics of matter and develop the theory just to the extent it is actually needed

  • Pedagocically written and altogether quite different from most books on quantum physics


Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-1
  2. Philippe A. Martin, François Rothen
    Pages 3-50
  3. Philippe A. Martin, François Rothen
    Pages 51-87
  4. Philippe A. Martin, François Rothen
    Pages 89-125
  5. Philippe A. Martin, François Rothen
    Pages 127-159
  6. Philippe A. Martin, François Rothen
    Pages 161-200
  7. Philippe A. Martin, François Rothen
    Pages 201-232
  8. Philippe A. Martin, François Rothen
    Pages 233-263
  9. Philippe A. Martin, François Rothen
    Pages 265-332
  10. Philippe A. Martin, François Rothen
    Pages 333-400
  11. Philippe A. Martin, François Rothen
    Pages 401-430
  12. Back Matter
    Pages 431-441

About this book


The book gives an introduction to the concepts and methods of many-body problems and quantum fields for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is put on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas in different domains of physics. The exposition is self-contained and displays in a coherent way all details of derivations starting from a basic knowledge of quantum mechanics and classical electromagnetism.


Bose Gas Einstein-Bose Condensation Electronic Gas Hartree-Fock Method N-Body Problem Nuclear Structure Perturbative Methods in Field Theory Superconductivite Superfluidity quantum mechanics

Authors and affiliations

  1. 1.Institute for Theoretical PhysicsSwiss Federal Institute for TechnologyLausanneSwitzerland
  2. 2.Institute of Condensed Matter PhysicsUniversity of LausanneLausanneSwitzerland

Bibliographic information

  • Book Title Many-Body Problems and Quantum Field Theory
  • Book Subtitle An Introduction
  • Authors Philippe Andre Martin
    Francois Rothen
  • Series Title Texts and Monographs in Physics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-41153-6
  • Softcover ISBN 978-3-662-04896-2
  • eBook ISBN 978-3-662-04894-8
  • Series ISSN 1864-5879
  • Series E-ISSN 1864-5887
  • Edition Number 1
  • Number of Pages XIII, 441
  • Number of Illustrations 70 b/w illustrations, 0 illustrations in colour
  • Additional Information Original French edition published by: Presses polytechniques et universitaires romandes, Lausanne, 1990
  • Topics Quantum Physics
    Mathematical Methods in Physics
    Particle and Nuclear Physics
    Condensed Matter Physics
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"The book is aimed to provide a reasonably broad and nevertheless high level of knowledge to Ph.D. students. I think that this challenge is truly reached. The authors achieve a good balance between formal developments and physical applications. The former are limited to the essential, and the connection between the mathematical representations and the physical concepts and paradigms is pedagogically presented. The latter are well chosen and belong, I believe, to the basic culture of every Ph.D. student, too often driven to specialization. [...] In conclusion, this book provides an excellent introduction to quantum field theory and its applications. It should be considered as one of the favourite books for any Ph.D. student and as a good reference book for more advanced physicists." (Joseph Cugnon, Physicalia, 25/3, 2003)

"[...] came out of a graduate course that presented a unified treatment of condensed-matter, nuclear, and particle theory. The course emphasized the similarities, sometimes even the identity, of the methods used in those fields – a wonderful idea, because students are often led to believe that the fields are disparate and never meet." (Physics Today, April 2003)

"Very well written and has a strong pedagogical style: mathematical steps in the explanations are complete and timely examples worked out in detail… I applaud the authors attempt to bring together the threads of many-body theory, which forms the cornerstone of traditionally distinct problems, into a readable textbook for students… and reference for the practitioner." (The Physicist)

From the reviews of the second edition:

"The book provides a nice unified approach to the quantum field theory of the solid state and the nucleon. … The book applies the same, consistent language for the different and broad fields of physics. This approach makes the book attractive to beginners who want to learn some more advanced methods and … need to see a range of applications … . The book can be used as an introduction for beginners in the field, advanced researchers can use it as a look up reference." (Andreas Knorr, Zentralblatt MATH, Vol. 1065, 2005)