Geodesic
Quasiclassical Green's functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 103-113

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Quasiclassical expressions are obtained for the Green's functions of one-dimensional motion in the absence and presence of turning points. These expressions make it possible to take into account multichannel effects in the higher orders of perturbation theory. An asymptotic method for calculating the amplitude of a multichannel transition $A-C-B$ in the second order of perturbation theory is considered. 
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     author = {V. L. Bakhrakh and S. I. Vetchinkin and I. M. Umanskii},
     title = {Quasiclassical {Green's} functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {56},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a9/}
}
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V. L. Bakhrakh; S. I. Vetchinkin; I. M. Umanskii. Quasiclassical Green's functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 103-113. http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a9/