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On the motion of classical three-body system with consideration of quantum fluctuations

We obtained the systemof stochastic differential equations which describes the classicalmotion of the three-body system under influence of quantum fluctuations. Using SDEs, for the joint probability distribution of the total momentum of bodies system were obtained the partial differential equation o...

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Bibliographic Details
Published in:Physics of atomic nuclei 2017-03, Vol.80 (2), p.358-365
Main Author: Gevorkyan, A. S.
Format: Article
Language:English
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Summary:We obtained the systemof stochastic differential equations which describes the classicalmotion of the three-body system under influence of quantum fluctuations. Using SDEs, for the joint probability distribution of the total momentum of bodies system were obtained the partial differential equation of the second order. It is shown, that the equation for the probability distribution is solved jointly by classical equations, which in turn are responsible for the topological peculiarities of tubes of quantum currents, transitions between asymptotic channels and, respectively for arising of quantum chaos.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778817020168