© 1992

The Dirac Equation


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

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Bernd Thaller
    Pages 1-41
  3. Bernd Thaller
    Pages 42-80
  4. Bernd Thaller
    Pages 81-105
  5. Bernd Thaller
    Pages 106-137
  6. Bernd Thaller
    Pages 138-175
  7. Bernd Thaller
    Pages 176-192
  8. Bernd Thaller
    Pages 193-221
  9. Bernd Thaller
    Pages 222-249
  10. Bernd Thaller
    Pages 250-273
  11. Bernd Thaller
    Pages 274-301
  12. Back Matter
    Pages 302-357

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.


Coulomb and Magnetic Fields Dirac Equations Dirac Gleichung Dirac Operator Dirac equation Index Theory Nonrelativistic Quantum Electrodynamics Quantum mechanics Relativistic Quantum Mechanics Relativistische Quantenmechanik Spectral and Scattering Theory Spektra- und Streutheori

Authors and affiliations

  1. 1.Institut für MathematikKarl-Franzens-Universität GrazGrazAustria

Bibliographic information