Geodesic
Computer simulation of three-body quantum mechanics in quasiclassical limit using collective behavior method
Matematičeskoe modelirovanie, Tome 21 (2009) no. 5, pp. 83-91

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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. 
@article{MM_2009_21_5_a8,
     author = {K. S. Arakelov},
     title = {Computer simulation of three-body quantum mechanics in quasiclassical limit using collective behavior method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {83--91},
     publisher = {mathdoc},
     volume = {21},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_5_a8/}
}
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K. S. Arakelov. Computer simulation of three-body quantum mechanics in quasiclassical limit using collective behavior method. Matematičeskoe modelirovanie, Tome 21 (2009) no. 5, pp. 83-91. http://geodesic.mathdoc.fr/item/MM_2009_21_5_a8/