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Coherent states and quantization on homogeneous spaces

  • III. Symmetries Interactions and Quantization Methods
  • Conference paper
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

Abstract

A fairly general procedure is described for the construction of coherent states of the induced representations of a general class of semi-direct product groups. The construction is much more general than the ones usually found in the literature. Besides furnishing one with a deeper insight into the structure of representations which admit coherent states, the present construction also provides one with a possible quantization procedure for physical systems moving on homogeneous spaces.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Concordia University Montréal, H4B 1R6, Québec, CANADA

    S. Twareque Ali

  2. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Ontario, CANADA

    S. De Biévre

Authors
  1. S. Twareque Ali
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  2. S. De Biévre
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Ali, S.T., De Biévre, S. (1988). Coherent states and quantization on homogeneous spaces. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012278

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  • DOI: https://doi.org/10.1007/BFb0012278

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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