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  • © 2014

Quantum Theory of Many-Body Systems

Techniques and Applications

  • Presents details to enable the student to follow current research literature and apply techniques to new problems
  • Revises and expands material from the previous edition where significant progress has been made
  • Covers additional material to highlight methods of quantum many-body theory for low-dimensional systems as well as noise and fluctuations in quantum coherent systems
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
  2. Basic Concepts

    • Alexandre Zagoskin
    Pages 1-51
  3. Green’s Functions at Zero Temperature

    • Alexandre Zagoskin
    Pages 53-100
  4. Methods of the Many-Body Theory in Superconductivity

    • Alexandre Zagoskin
    Pages 157-225
  5. Many-Body Theory in One Dimension

    • 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.

Authors and Affiliations

  • Department of Physics, Loughborough University, Leicestershire, United Kingdom

    Alexandre Zagoskin

About the author

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

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 74.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access