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On the motion of classical three-body system with consideration of quantum fluctuations
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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.
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Physics of Atomic Nuclei volume
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Affiliation:
Institute for Informatics and Automation Problems of NAS RA ; Institute of Chemical Physics ; Joint Institute for Nuclear Research