© 1974

Group Theory and Quantum Mechanics


Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 214)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. B. L. van der Waerden
    Pages 1-31
  3. B. L. van der Waerden
    Pages 32-81
  4. B. L. van der Waerden
    Pages 82-122
  5. B. L. van der Waerden
    Pages 123-147
  6. B. L. van der Waerden
    Pages 148-187
  7. B. L. van der Waerden
    Pages 188-203
  8. Back Matter
    Pages 204-214

About this book


The German edition of this book appeared in 1932 under the title "Die gruppentheoretische Methode in der Quantenmechanik". Its aim was, to explain the fundamental notions of the Theory of Groups and their Representations, and the application of this theory to the Quantum Mechanics of Atoms and Molecules. The book was mainly written for the benefit of physicists who were supposed to be familiar with Quantum Mechanics. However, it turned out that it was also used by. mathematicians who wanted to learn Quantum Mechanics from it. Naturally, the physical parts were too difficult for mathematicians, whereas the mathematical parts were sometimes too difficult for physicists. The German language created an additional difficulty for many readers. In order to make the book more readable for physicists and mathe­ maticians alike, I have rewritten the whole volume. The changes are most notable in Chapters 1 and 6. In Chapter t, I have tried to give a mathematically rigorous exposition of the principles of Quantum Mechanics. This was possible because recent investigations in the theory of self-adjoint linear operators have made the mathematical foundation of Quantum Mechanics much clearer than it was in t 932. Chapter 6, on Molecule Spectra, was too much condensed in the German edition. I hope it is now easier to understand. In Chapter 2-5 too, numerous changes were made in order to make the book more readable and more useful.


Abelian group Group Group theory Gruppe Lie algebra Quantenmechanik algebra angular momentum finite group lie group mechanics momentum quantum mechanics reflection wave equation

Authors and affiliations

  1. 1.Mathematisches InstitutUniversität ZürichSwitzerland

Bibliographic information

  • Book Title Group Theory and Quantum Mechanics
  • Authors Bartel L. van der Waerden
  • Series Title Grundlehren der mathematischen Wissenschaften
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1974
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-06740-5
  • Softcover ISBN 978-3-642-65862-4
  • eBook ISBN 978-3-642-65860-0
  • Series ISSN 0072-7830
  • Edition Number 1
  • Number of Pages VIII, 211
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Title of the original German edition: Die gruppentheoretische Methode in der Quantenmechanik
  • Topics Group Theory and Generalizations
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site