Method of resurgent analysis in atomic collision theory

被引：0

作者：

B. Yu. Sternin

V. E. Shatalov

机构：

[1] Moscow State University,Moscow Technical University for Electronics and Mathematics

[2] Russian Academy of Sciences,undefined

来源：

Theoretical and Mathematical Physics | 1997年 / 112卷

关键词：

Asymptotic Expansion; Riemann Surface; Singularity Point; Integration Contour; Adiabatic Approximation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 the two-level Landau-Zener model.

引用

页码：1043 / 1055

页数：12

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