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Mathematical Supplement: Fundamental Properties of Lie Groups

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Quantum Mechanics

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Abstract

The rotation group is composed of the infinite number of operators (setting ħ=1)

$$ {\hat U_R}(\phi ) = \exp ( - {\phi _\mu }{\hat J_\mu }) = \exp ( - i\phi \cdot \hat J).$$
(3.1)

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References

  1. To some extent, we follow the article by K.W. McVoy: Reviews of Modern Physics 37 (No. 1), 84 (1965).

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  2. G. Rach: Group Theory and Spectroscopy, Princeton Lectures (CERN Reprint).

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  3. Note that here we set ħ = 1.

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  4. L.C. Biedenharn: J. Math. Phys. 4, 436 (1963).

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt, Postfach 111932, D-60054, Frankfurt am Main, Germany

    Professor Dr. Walter Greiner

  2. Robert-Mayer-Strasse 8-10, D-60325, Frankfurt am Main, Germany

    Professor Dr. Walter Greiner

  3. Physics Department, Duke University, P. O. Box 90305, Durham, NC, 27708-0305, USA

    Professor Dr. Berndt Müller

Authors
  1. Professor Dr. Walter Greiner
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  2. Professor Dr. Berndt Müller
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© 1994 Springer-Verlag Berlin Heidelberg

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Greiner, W., Müller, B. (1994). Mathematical Supplement: Fundamental Properties of Lie Groups. In: Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57976-9_3

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  • DOI: https://doi.org/10.1007/978-3-642-57976-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58080-5

  • Online ISBN: 978-3-642-57976-9

  • eBook Packages: Springer Book Archive

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