Geodesic
Method of resurgent analysis in the atomic collision theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 2, pp. 308-323

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A problem of atomic collisions is considered in the adiabatic approximation. It is shown that in this approximation transfer probabilities can be obtained by using resurgent analysis. A computation algorithm for finding the transfer probabilities as well as it's mathematical proof are presented. All considerations are performed by using a simple but representative example of the two-level Landau–Singer model. 
@article{TMF_1997_112_2_a7,
     author = {B. Yu. Sternin and V. E. Shatalov},
     title = {Method of resurgent analysis in the atomic collision theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {308--323},
     publisher = {mathdoc},
     volume = {112},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_2_a7/}
}
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B. Yu. Sternin; V. E. Shatalov. Method of resurgent analysis in the atomic collision theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 2, pp. 308-323. http://geodesic.mathdoc.fr/item/TMF_1997_112_2_a7/