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

## Abstract

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.

- Authors:

- NAS of RA, Institute for Informatics and Automation Problems (Armenia)

- Publication Date:

- OSTI Identifier:
- 22613979

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Atomic Nuclei; Journal Volume: 80; Journal Issue: 2; Other Information: Copyright (c) 2017 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; ASYMPTOTIC SOLUTIONS; CHAOS THEORY; CLASSICAL MECHANICS; FLUCTUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; QUANTUM MECHANICS; STOCHASTIC PROCESSES; THREE-BODY PROBLEM; TOPOLOGY

### Citation Formats

```
Gevorkyan, A. S., E-mail: g-ashot@sci.am.
```*On the motion of classical three-body system with consideration of quantum fluctuations*. United States: N. p., 2017.
Web. doi:10.1134/S1063778817020168.

```
Gevorkyan, A. S., E-mail: g-ashot@sci.am.
```*On the motion of classical three-body system with consideration of quantum fluctuations*. United States. doi:10.1134/S1063778817020168.

```
Gevorkyan, A. S., E-mail: g-ashot@sci.am. Wed .
"On the motion of classical three-body system with consideration of quantum fluctuations". United States.
doi:10.1134/S1063778817020168.
```

```
@article{osti_22613979,
```

title = {On the motion of classical three-body system with consideration of quantum fluctuations},

author = {Gevorkyan, A. S., E-mail: g-ashot@sci.am},

abstractNote = {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.},

doi = {10.1134/S1063778817020168},

journal = {Physics of Atomic Nuclei},

number = 2,

volume = 80,

place = {United States},

year = {Wed Mar 15 00:00:00 EDT 2017},

month = {Wed Mar 15 00:00:00 EDT 2017}

}

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