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The Dirac Equation

  • Book
  • © 1992

Overview

Authors:
  1. Bernd Thaller

    1. Institut für Mathematik, Karl-Franzens-Universität Graz, Graz, Austria

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XVII
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  2. Free Particles

    • Bernd Thaller
    Pages 1-41

  3. The Poincaré Group

    • Bernd Thaller
    Pages 42-80

  4. Induced Representations

    • Bernd Thaller
    Pages 81-105

  5. External Fields

    • Bernd Thaller
    Pages 106-137

  6. Supersymmetry

    • Bernd Thaller
    Pages 138-175

  7. The Nonrelativistic Limit

    • Bernd Thaller
    Pages 176-192

  8. Special Systems

    • Bernd Thaller
    Pages 193-221

  9. Scattering States

    • Bernd Thaller
    Pages 222-249

  10. Solitons

    • Bernd Thaller
    Pages 250-273

  11. Quantum Electrodynamics in External Fields

    • Bernd Thaller
    Pages 274-301

  12. Back Matter

    Pages 302-357
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Keywords

About this book

Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its applications are so widespread that a description of all aspects cannot be done with sufficient depth within a single volume. In this book the emphasis is on the role of the Dirac equation in the relativistic quantum mechanics of spin-1/2 particles. We cover the range from the description of a single free particle to the external field problem in quantum electrodynamics. Relativistic quantum mechanics is the historical origin of the Dirac equation and has become a fixed part of the education of theoretical physicists. There are some famous textbooks covering this area. Since the appearance of these standard texts many books (both physical and mathematical) on the non­ relativistic Schrodinger equation have been published, but only very few on the Dirac equation. I wrote this book because I felt that a modern, comprehensive presentation of Dirac's electron theory satisfying some basic requirements of mathematical rigor was still missing.

Authors and Affiliations

  • Institut für Mathematik, Karl-Franzens-Universität Graz, Graz, Austria

    Bernd Thaller

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