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Quantum Field Theory in Condensed Matter Physics

  • Book
  • © 1999

Overview

Authors:
  1. Naoto Nagaosa

    1. Department of Applied Physics, The University of Tokyo, Bunkyo-ku, Tokyo 113, Japan

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  • The author although still relatively young seems to have an excellent worldwide reputation as a scientist
  • Includes supplementary material: sn.pub/extras

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-X
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  2. Review of Quantum Mechanics and Basic Principles of Field Theory

    • Naoto Nagaosa
    Pages 1-26

  3. Quantization with Path Integral Methods

    • Naoto Nagaosa
    Pages 27-50

  4. Symmetry Breaking and Phase Transition

    • Naoto Nagaosa
    Pages 51-89

  5. Simple Examples for the Application of Field Theory

    • Naoto Nagaosa
    Pages 91-111

  6. Problems Related to Superconductivity

    • Naoto Nagaosa
    Pages 113-160

  7. Quantum Hall Liquid and the Chern-Simons Gauge Field

    • Naoto Nagaosa
    Pages 161-191

  8. Back Matter

    Pages 193-206
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Keywords

About this book

Why is quantum field theory of condensed matter physics necessary? Condensed matter physics deals with a wide variety of topics, ranging from gas to liquids and solids, as well as plasma, where owing to the inter­ play between the motions of a tremendous number of electrons and nuclei, rich varieties of physical phenomena occur. Quantum field theory is the most appropriate "language", to describe systems with such a large number of de­ grees of freedom, and therefore its importance for condensed matter physics is obvious. Indeed, up to now, quantum field theory has been succesfully ap­ plied to many different topics in condensed matter physics. Recently, quan­ tum field theory has become more and more important in research on the electronic properties of condensed systems, which is the main topic of the present volume. Up to now, the motion of electrons in solids has been successfully de­ scribed by focusing on one electron and replacing the Coulomb interaction of all the other electrons by a mean field potential. This method is called mean field theory, which made important contributions to the explanantion of the electronic structure in solids, and led to the classification of insulators, semiconductors and metals in terms of the band theory. It might be said that also the present achievements in the field of semiconductor technology rely on these foundations. In the mean field approximation, effects that arise due to the correlation of the motions of many particles, cannot be described.

Authors and Affiliations

  • Department of Applied Physics, The University of Tokyo, Bunkyo-ku, Tokyo 113, Japan

    Naoto Nagaosa

Bibliographic Information

  • Book Title: Quantum Field Theory in Condensed Matter Physics

  • Authors: Naoto Nagaosa

  • Series Title: Theoretical and Mathematical Physics

  • DOI: https://doi.org/10.1007/978-3-662-03774-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-65537-4Published: 20 September 1999

  • Softcover ISBN: 978-3-642-08485-0Published: 01 December 2010

  • eBook ISBN: 978-3-662-03774-4Published: 11 November 2013

  • Series ISSN: 1864-5879

  • Series E-ISSN: 1864-5887

  • Edition Number: 1

  • Number of Pages: X, 206

  • Additional Information: Original Japanese edition published by Iwanami Shoten, Tokyo, Japan, 1995

  • Topics: Condensed Matter Physics, Mathematical Methods in Physics

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