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Theory and Applications of the Poincaré Group

  • Book
  • © 1986

Overview

Authors:
  1. Y. S. Kim

    1. Department of Physics and Astronomy, University of Maryland, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Marilyn E. Noz

    1. Department of Radiology, New York University, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Elements of Group Theory

    • Y. S. Kim, Marilyn E. Noz
    Pages 1-24

  3. Lie Groups and Lie Algebras

    • Y. S. Kim, Marilyn E. Noz
    Pages 25-49

  4. Theory of the Poincaré Group

    • Y. S. Kim, Marilyn E. Noz
    Pages 50-78

  5. Theory of Spinors

    • Y. S. Kim, Marilyn E. Noz
    Pages 79-106

  6. Covariant Harmonic Oscillator Formalism

    • Y. S. Kim, Marilyn E. Noz
    Pages 107-134

  7. Dirac’s Form of Relativistic Quantum Mechanics

    • Y. S. Kim, Marilyn E. Noz
    Pages 135-158

  8. Massless Particles

    • Y. S. Kim, Marilyn E. Noz
    Pages 159-188

  9. Group Contractions

    • Y. S. Kim, Marilyn E. Noz
    Pages 189-213

  10. SO(2, 1)and SU(1, 1)

    • Y. S. Kim, Marilyn E. Noz
    Pages 214-235

  11. Homogeneous Lorentz Group

    • Y. S. Kim, Marilyn E. Noz
    Pages 236-254

  12. Hadronic Mass Spectra

    • Y. S. Kim, Marilyn E. Noz
    Pages 255-285

  13. Lorentz-Dirac Deformation in High-Energy Physics

    • Y. S. Kim, Marilyn E. Noz
    Pages 286-319

  14. Back Matter

    Pages 320-331
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Keywords

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.

Authors and Affiliations

  • Department of Physics and Astronomy, University of Maryland, USA

    Y. S. Kim

  • Department of Radiology, New York University, USA

    Marilyn E. Noz

Bibliographic Information

  • Book Title: Theory and Applications of the Poincaré Group

  • Authors: Y. S. Kim, Marilyn E. Noz

  • Series Title: Fundamental Theories of Physics

  • DOI: https://doi.org/10.1007/978-94-009-4558-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1986

  • Hardcover ISBN: 978-90-277-2141-9Published: 30 April 1986

  • Softcover ISBN: 978-94-010-8526-7Published: 20 September 2011

  • eBook ISBN: 978-94-009-4558-6Published: 06 December 2012

  • Series ISSN: 0168-1222

  • Series E-ISSN: 2365-6425

  • Edition Number: 1

  • Number of Pages: XV, 331

  • Topics: Theoretical, Mathematical and Computational Physics, Group Theory and Generalizations

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