Generalized coherent states for massive spinless fields in the de Sitter space
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 2, pp. 258-263 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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S. A. Pol'shin. Generalized coherent states for massive spinless fields in the de Sitter space. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 2, pp. 258-263. http://geodesic.mathdoc.fr/item/TMF_1999_121_2_a2/

[1] A. M. Perelomov, Commun. Math. Phys., 26 (1972), 222 | DOI | MR | Zbl

[2] A. M. Perelomov, Obobschennye kogerentnye sostoyaniya i ikh primeneniya, Nauka, M., 1987 | MR

[3] S. Twareque Ali, J.-P. Antoine, J.-P. Gazeau, U. A. Mueller, Rev. Math. Phys., 7 (1995), 1013 | DOI | MR | Zbl

[4] J. P. Gazeau, “Coherent States for Desitterian and Einsteinian Relativities”, Selected Topics in Quantum Field Theory and Mathematical Physics, eds. J. Niederle, J. Fischer, World Sci., Singapore, 1990, 182 | MR

[5] A. El. Gradechi, S. De Bièvre, Ann. Phys. (USA), 235 (1994), 1 ; E-print hep-th/9210133 | DOI | MR | Zbl

[6] S. De Bièvre, A. El. Gradechi, Ann. Inst. H Poincaré. Ser. Phys. Theór., 57 (1992), 403 | Zbl

[7] J. Bros, U. Moschella, Rev. Math. Phys., 8 (1996), 327 ; E-print gr-qc/9511019 | DOI | MR | Zbl

[8] M. B. Menskii, Metod indutsirovannykh predstavlenii. Prostranstvo-vremya i kontseptsiya chastits, Nauka, M., 1976

[9] B. A. Rozenfeld, Mnogomernye prostranstva, Nauka, M., 1966 | MR