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Quantum Theory of Many-Body Systems

Techniques and Applications

  • Textbook
  • © 1998

Overview

Authors:
  1. Alexandre M. Zagoskin

    1. Department of Physics and Astronomy, The University of British Columbia, Vancouver, Canada

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  • Uses the traditional mathematical formalism of quasiparticles and Green`s functions.
  • Covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. Presents enough detail to enable the reader to follow the current research literature or to apply the techniques to new problems. Includes many of the examples drawn from mesoscopic physics, which provides an ideal testing ground for many-body theories. Includes applications of the techniques. Problems at the end of each chapter help to guide learning and illustrate the applications.

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Basic Concepts

    • Alexandre M. Zagoskin
    Pages 1-47

  3. Green’s Functions at Zero Temperature

    • Alexandre M. Zagoskin
    Pages 49-93

  4. More Green’s Functions, Equilibrium and Otherwise, and Their Applications

    • Alexandre M. Zagoskin
    Pages 95-145

  5. Methods of the Many-Body Theory in Superconductivity

    • Alexandre M. Zagoskin
    Pages 147-209

  6. Back Matter

    Pages 211-229
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Keywords

About this book

Intended for graduate students in physics and related fields, this text is 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 formalisms. The aim is not to be exhaustive, but to present just 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. The book begins by introducing the Green's function for one-particle systems (using Feynman path integrals), general perturbation theory, and second quantization. It then turns to the usual zero-temperature formalism, discussing the properties and physical meaning of the Green's function for many-body systems and then developing the diagram techniques of perturbation theory. The theory is extended to finite temperatures, including a discussion of the Matsubara formalism as well as the Keldysh technique for essentially nonequilibrium systems. The final chapter is devoted to applications of the techniques to superconductivity, incuding discussions of the superconducting phase transition, elementary excitations, transport, Andreev reflections, and Josephson junctions. Problems at the end of each chapter help to guide learning an to

Authors and Affiliations

  • Department of Physics and Astronomy, The University of British Columbia, Vancouver, Canada

    Alexandre M. Zagoskin

Bibliographic Information

  • Book Title: Quantum Theory of Many-Body Systems

  • Book Subtitle: Techniques and Applications

  • Authors: Alexandre M. Zagoskin

  • Series Title: Graduate Texts in Contemporary Physics

  • DOI: https://doi.org/10.1007/978-1-4612-0595-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Softcover ISBN: 978-1-4612-6831-4Published: 17 October 2012

  • eBook ISBN: 978-1-4612-0595-1Published: 06 December 2012

  • Series ISSN: 0938-037X

  • Edition Number: 1

  • Number of Pages: XV, 229

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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