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Generalized coherent states for massive spinless fields in the de Sitter space

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Abstract

The de Sitter SO(4, 1) group conformal action is used to construct two different systems of generalized coherent states for the de Sitter group in the three-dimensional Euclidean space. The two systems of states have the physical sense of particles and antiparticles in the de Sitter space. The scalar product of two coherent states is a two-point function in the de Sitter space.

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Authors and Affiliations

  1. Kharkov State University, Kharkov, Ukraine

    S. A. Polshin

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  1. S. A. Polshin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121. No. 2, pp. 258–263. November, 1999.

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Polshin, S.A. Generalized coherent states for massive spinless fields in the de Sitter space. Theor Math Phys 121, 1473–1477 (1999). https://doi.org/10.1007/BF02557217

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  • DOI: https://doi.org/10.1007/BF02557217

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