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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 2, Pages 308–323
DOI: https://doi.org/10.4213/tmf1045 (Mi tmf1045) 		 
Method of resurgent analysis in the atomic collision theory

B. Yu. Sternina, V. E. Shatalovb

a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Moscow Institute of Electronic Engineering
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DOI: https://doi.org/10.4213/tmf1045
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
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 2, Pages 1043–1055
DOI: https://doi.org/10.1007/BF02634162
Bibliographic databases:
Language: Russian
Citation: B. Yu. Sternin, V. E. Shatalov, “Method of resurgent analysis in the atomic collision theory”, TMF, 112:2 (1997), 308–323; Theoret. and Math. Phys., 112:2 (1997), 1043–1055
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\vol 112
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\pages 1043--1055
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