Geodesic
Annihilation of excitons in quasi-one-dimensional crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 410-415 
Yu. B. Gaididei. Annihilation of excitons in quasi-one-dimensional crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 410-415. http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a11/
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     author = {Yu. B. Gaididei},
     title = {Annihilation of excitons in quasi-one-dimensional crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {410--415},
     year = {1981},
     volume = {48},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the annihilation of localized excitations in a one-dimensional crystal is solved exactly. The obtained solution is compared with approximations, and conclusions about their conditions of applicability are drawn. For excitons possessing dispersion, the nonlinear equation of Kirkwood's approximation for the binary distribution function is solved.

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