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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2009 Volume 21, Number 5, Pages 83–91 (Mi mm2834)

This article is cited in 3 papers

Computer simulation of three-body quantum mechanics in quasiclassical limit using collective behavior method

K. S. Arakelov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: In the direct numerical experiment three-body quantum system was studied in quasiclassical limit. The system represents $XYX$-system, where $X$ and $Y$ denote light and heavy particle correspondingly. The new common algorithm for studying few-body quantum systems (collective behavior method [1]–[4]) was used. Program complex which develops this algorithm was described. Theoretical model which can be considered as base for this algorithm in the case of three-particle systems was proposed. The evolutions of symmetric and anti-symmetric initial vibrational state were studied. The various distribution functions of angles and distances was obtained.

Received: 01.09.2008



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