Object

Title: Poincare Conjecture, Classical Nonintegrability andQuantum Chaos on the Example of 3 Bodies

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.

Identifier:

oai:noad.sci.am:135874

Language:

English

URL:


Affiliation:

Institute for Informatics and Automation Problems ; Institute of Chemical Physics

Country:

Georgia

Year:

2016

Time period:

September 5 – 9

Conference title:

VII International Joint Conference ofGeorgian Mathematical Union &Georgian Mechanical Union

Place:

Batumi

Participation type:

oral

Object collections:

Last modified:

Mar 3, 2021

In our library since:

Jul 23, 2020

Number of object content hits:

74

All available object's versions:

https://noad.sci.am/publication/149441

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