Method of resurgent analysis in the atomic collision theory

B. Yu. Sternin^a, V. E. Shatalov<sup>b

a</sup> M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Moscow Institute of Electronic Engineering

Abstract: 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.

Received: 22.12.1995
Revised: 25.11.1996

DOI: 10.4213/tmf1045

 English version: Theoretical and Mathematical Physics, 1997, 112:2, 1043–1055

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