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TheSU(1,1) coherent states related to the affine group wavelets

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Czechoslovak Journal of Physics Aims and scope

Abstract

The Perelomov coherent states ofSU(1,1) are labeled by elements of the quotient ofSU(1,1) by its rotation subgroup. Taking advantage of the fact that this quotient is isomorphic to the affine group of the real line, we are able to parameterize the coherent states by elements of that group. Such a formulation permits to find new properties of theSU(1,1) coherent states and to relate them to affine wavelets.

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References

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Authors and Affiliations

  1. Laboratoire de Physique Théorique de la Matiére Condensée, Université Paris VII, 2 place Jussieu, F-75251, Paris Cedex 05, France

    J. Bertrand & M. Irac-Astaud

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  1. J. Bertrand
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  2. M. Irac-Astaud
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Bertrand, J., Irac-Astaud, M. TheSU(1,1) coherent states related to the affine group wavelets. Czech J Phys 51, 1272–1278 (2001). https://doi.org/10.1023/A:1013353516166

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  • DOI: https://doi.org/10.1023/A:1013353516166

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