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Relativistic Quantum Mechanics

Wave Equations

  • Textbook
  • © 1997

Overview

Authors:
  1. Walter Greiner

    1. Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt am Main, Germany
      Frankfurt am Main, Germany

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XIX
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  2. Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications

    • Walter Greiner
    Pages 1-98

  3. A Wave Equation for Spin-1/2 Particles: The Dirac Equation

    • Walter Greiner
    Pages 99-126

  4. Lorentz Covariance of the Dirac Equation

    • Walter Greiner
    Pages 127-148

  5. Spinors Under Spatial Reflection

    • Walter Greiner
    Pages 149-150

  6. Bilinear Covariants of the Dirac Spinors

    • Walter Greiner
    Pages 151-156

  7. Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations

    • Walter Greiner
    Pages 157-176

  8. Projection Operators for Energy and Spin

    • Walter Greiner
    Pages 177-182

  9. Wave Packets of Plane Dirac Waves

    • Walter Greiner
    Pages 183-196

  10. Dirac Particles in External Fields: Examples and Problems

    • Walter Greiner
    Pages 197-260

  11. The Two-Centre Dirac Equation

    • Walter Greiner
    Pages 261-276

  12. The Foldy—Wouthuysen Representation for Free Particles

    • Walter Greiner
    Pages 277-290

  13. The Hole Theory

    • Walter Greiner
    Pages 291-323

  14. Klein’s Paradox

    • Walter Greiner
    Pages 325-332

  15. The Weyl Equation — The Neutrino

    • Walter Greiner
    Pages 333-345

  16. Wave Equations for Particles with Arbitrary Spins

    • Walter Greiner
    Pages 347-388

  17. Lorentz Invariance and Relativistic Symmetry Principles

    • Walter Greiner
    Pages 389-415

  18. Back Matter

    Pages 417-425
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Keywords

About this book

Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.

Authors and Affiliations

  • Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt am Main, Germany

    Walter Greiner

  • Frankfurt am Main, Germany

    Walter Greiner

Bibliographic Information

  • Book Title: Relativistic Quantum Mechanics

  • Book Subtitle: Wave Equations

  • Authors: Walter Greiner

  • DOI: https://doi.org/10.1007/978-3-662-03425-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • eBook ISBN: 978-3-662-03425-5Published: 29 June 2013

  • Edition Number: 2

  • Number of Pages: XIX, 425

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Originally published with the title: Theoretical Physics: Volume 3

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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