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Coherent states and symmetric spaces

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Abstract

Properties of system of the coherent states related to representations of the class I of principal series of the motion groups of symmetric spaces of rank 1 have been studied. It has been proved that such states are given by horospherical kernels and are the generalization of the plane waves for the case of symmetric spaces.

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Authors and Affiliations

  1. Institute for Theoretical and Experimental Physics, 117259, Moscow, USSR

    A. M. Perelomov

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  1. A. M. Perelomov
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Communicated by H. Araki

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Perelomov, A.M. Coherent states and symmetric spaces. Commun.Math. Phys. 44, 197–210 (1975). https://doi.org/10.1007/BF01608832

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  • DOI: https://doi.org/10.1007/BF01608832

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