an:01324770
Zbl 0978.81506
Sternin, B. Yu.; Shatalov, V. E.
Method of resurgent analysis in atomic collision theory
EN
Theor. Math. Phys. 112, No. 2, 1043-1055 (1997); translation from Teor. Mat. Fiz. 112, No. 2, 308-323 (1997).
00054759
1997
j
81Q20 34E20 81V45
Summary: We consider the atomic collision problem in the adiabatic approximation. We show that the transition probabilities can be evaluated in this approximation using the tools of resurgent analysis. We suggest a computational algorithm for the transition probabilities and give the mathematical foundation of this algorithm. The analysis is carried out using the example of two-level Landau-Zener model.