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Semiclassical Dynamics of SU (2) Models

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Noncommutative Structures in Mathematics and Physics

Part of the book series: NATO Science Series ((NAII,volume 22))

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Abstract

Within the scope of simple quantum mechanics we present a semiclassical theory which is exact. While the semiclassical theory of canonical phase space path integrals is now well established [1, 2] we examine here the case where the classical phase space is the two-sphere. After summarizing some relevant features of a classical spin, we briefly discuss the localization of classical phase space integrals and then present an extension for a quantum spin. The semiclassical propagator is employed to solve the Jaynes-Cummings model.

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Author information

Authors and Affiliations

  1. Fakultät für Physik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79106, Freiburg, Germany

    Adrian Alscher & Hermann Grabert

Authors
  1. Adrian Alscher
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  2. Hermann Grabert
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Editor information

Editors and Affiliations

  1. Theory Group, Nuclear Physics Laboratory, Kharkov National University, Kharkov, Ukraine

    Steven Duplij

  2. Sektion Physik, Ludwig-Maximillians-Universität, München, Germany

    Julius Wess

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© 2001 Springer Science+Business Media Dordrecht

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Alscher, A., Grabert, H. (2001). Semiclassical Dynamics of SU (2) Models. In: Duplij, S., Wess, J. (eds) Noncommutative Structures in Mathematics and Physics. NATO Science Series, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0836-5_39

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  • DOI: https://doi.org/10.1007/978-94-010-0836-5_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6999-8

  • Online ISBN: 978-94-010-0836-5

  • eBook Packages: Springer Book Archive

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