Geodesic
Quasi classical analytical approximation to the $S$-matrix of collinear rearrangement reaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 238-250

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Collinear problem of three-particle rearrangement reaction in the framework of the quasi classical method of Fock–Leontovich parabolic equation is reduced to the quantum problem of the one-dimensional harmonic oscillator with variable frequency in an external force field. This allows one to express the $S$-matrix elements responsible for the rearrangement channel via analytical solution of the oscillator model by using the parameters of the linear configuration of the three particles. 
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     author = {A. V. Bogdanov and A. S. Gevorkyan and A. I. Denisenko},
     title = {Quasi classical analytical approximation to the $S$-matrix of collinear rearrangement reaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {238--250},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a5/}
}
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A. V. Bogdanov; A. S. Gevorkyan; A. I. Denisenko. Quasi classical analytical approximation to the $S$-matrix of collinear rearrangement reaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 238-250. http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a5/