Title:
Poincare Conjecture, Classical Nonintegrability andQuantum Chaos on the Example of 3 Bodies
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Abstract:
We obtained the system of stochastic differential equations, which describes the classical motion 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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Institute for Informatics and Automation Problems ; Institute of Chemical Physics
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Conference title:
VII International Joint Conference ofGeorgian Mathematical Union &Georgian Mechanical Union