Geodesic
Collinear three-particle collisions in the quasiclassical approximation. Excitation, dissociation, and exchange
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 400-412

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Expressions are obtained in the quasiclassical approximation for the amplitudes of excitation, dissociation, and exchange in the collinear collision of a diatomic molecule and a structureless atom. For the atom-harmonic oscillator model the numerically obtained excitation probabilities agree well with the exact quantum values and are identical to the quasielassical results obtained by the "classical $S$ matrix" method. 
@article{TMF_1984_59_3_a6,
     author = {S. Ya. Aksenov and V. S. Potapov},
     title = {Collinear three-particle collisions in the quasiclassical approximation. {Excitation,} dissociation, and exchange},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {400--412},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a6/}
}
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S. Ya. Aksenov; V. S. Potapov. Collinear three-particle collisions in the quasiclassical approximation. Excitation, dissociation, and exchange. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 400-412. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a6/