Geodesic
Generalized coherent states for massive spinless fields in the de~Sitter space
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 2, pp. 258-263

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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. 
@article{TMF_1999_121_2_a2,
     author = {S. A. Pol'shin},
     title = {Generalized coherent states for massive spinless fields in the {de~Sitter} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {258--263},
     publisher = {mathdoc},
     volume = {121},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_2_a2/}
}
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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/