Theory and Applications of the Poincaré Group

  • Y. S. Kim
  • Marilyn E. Noz

Part of the Fundamental Theories of Physics book series (FTPH, volume 17)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Y. S. Kim, Marilyn E. Noz
    Pages 1-24
  3. Y. S. Kim, Marilyn E. Noz
    Pages 25-49
  4. Y. S. Kim, Marilyn E. Noz
    Pages 50-78
  5. Y. S. Kim, Marilyn E. Noz
    Pages 79-106
  6. Y. S. Kim, Marilyn E. Noz
    Pages 107-134
  7. Y. S. Kim, Marilyn E. Noz
    Pages 135-158
  8. Y. S. Kim, Marilyn E. Noz
    Pages 159-188
  9. Y. S. Kim, Marilyn E. Noz
    Pages 189-213
  10. Y. S. Kim, Marilyn E. Noz
    Pages 214-235
  11. Y. S. Kim, Marilyn E. Noz
    Pages 236-254
  12. Y. S. Kim, Marilyn E. Noz
    Pages 255-285
  13. Y. S. Kim, Marilyn E. Noz
    Pages 286-319
  14. Back Matter
    Pages 320-331

About this book


Special relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come. In the 1920's, when quantum mechanics was developed, the most pressing theoretical problem was how to make it consistent with special relativity. In the 1980's, this is still the most pressing problem. The only difference is that the situation is more urgent now than before, because of the significant quantity of experimental data which need to be explained in terms of both quantum mechanics and special relativity. In unifying the concepts and algorithms of quantum mechanics and special relativity, it is important to realize that the underlying scientific language for both disciplines is that of group theory. The role of group theory in quantum mechanics is well known. The same is true for special relativity. Therefore, the most effective approach to the problem of unifying these two important theories is to develop a group theory which can accommodate both special relativity and quantum mechanics. As is well known, Eugene P. Wigner is one of the pioneers in developing group theoretical approaches to relativistic quantum mechanics. His 1939 paper on the inhomogeneous Lorentz group laid the foundation for this important research line. It is generally agreed that this paper was somewhat ahead of its time in 1939, and that contemporary physicists must continue to make real efforts to appreciate fully the content of this classic work.


Algebra Group theory geometry mechanics model quantum mechanics transformation

Authors and affiliations

  • Y. S. Kim
    • 1
  • Marilyn E. Noz
    • 2
  1. 1.Department of Physics and AstronomyUniversity of MarylandUSA
  2. 2.Department of RadiologyNew York UniversityUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8526-7
  • Online ISBN 978-94-009-4558-6
  • Buy this book on publisher's site
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