Geodesic
Coherent states for $Sp(2,2)$ and geometrized decay model for an unstable system
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 55-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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The decay amplitude of an unstable particle in a relativistic geometrized model is calculated. The states of the unstable system at an arbitrary instant of time are constructed as coherent states on the discrete series of unitary irreducible representations of the group $Sp(2,2)$ and are parametrized by a point of the hyperboloid $\xi^2=-\rho^2$. The radius of curvature $\rho$ is related to the coupling constant and the energy. The transition to the limit of stable objects is investigated. 
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     author = {I. A. Filanovskii},
     title = {Coherent states for~$Sp(2,2)$ and geometrized decay model for an unstable system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {55--62},
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}
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I. A. Filanovskii. Coherent states for $Sp(2,2)$ and geometrized decay model for an unstable system. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 55-62. http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a6/

[1] Lurcat F., Phys. Rev., 173:5 (1968), 1461–1473 ; Ann. Phys. (N. Y.), 106:2 (1977), 342–393 ; Schulman L. S., Ann. Phys. (N. Y.), 59:1 (1970), 201–218 | DOI | DOI | MR | DOI | MR | Zbl

[2] Williams D. N., Commun. Math. Phys., 21:4 (1971), 314–333 ; Raczka R., Ann. Inst. H. Poincare, A19:4 (1973), 341–356 | DOI | MR | Zbl | MR

[3] Lyakhovsky V. D., Commun. Math. Phys., 11:2 (1968), 131–137 ; 14:1 (1969), 70–77 ; Coleman S., Mandula J., Phys. Rev., 159:5 (1967), 1251–1256 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | Zbl

[4] Filanovskii I. A., Vestn. LGU, 1982, no. 4, 19–24

[5] Filanovskii I. A., Problemy yadernoi fiziki i kosmicheskikh luchei, Sb., no. 17, Vissha shkola, Kharkov, 1982, 90–102 | MR

[6] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965, 588 pp. | MR

[7] Perelomov A. M., Commun. Math. Phys., 26:3 (1972), 222–236 ; Переломов А. М., УФН, 123:1 (1977), 23–55 | DOI | MR | Zbl | DOI

[8] Fonda L., Fortschr. Phys., 25:2 (1977), 101–121 ; Fleming G. N., Nuovo Cim., 16A:2 (1973), 232–240 | DOI | DOI