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Regularity and chaos in interacting two-body systems

Radionov, Sergey LU ; Åberg, Sven LU and Guhr, Thomas LU (2004) In Physical Review E 70(3).
Abstract
We study classical and quantum chaos for two interacting particles on the plane. This is the simplest nontrivial case which sheds light on chaos in interacting many-body systems. The system consists of a confining one-body potential, assumed to be a deformed harmonic oscillator, and a two-body interaction of Coulomb type. In general, the dynamics is mixed with regular and chaotic trajectories. The relative roles of the one-body field and the two-body interaction are investigated. Chaos sets in as the strength of the two-body interaction increases. However, the degree of chaoticity strongly depends on the shape of the one-body potential and, for some shapes of the harmonic oscillator, the dynamics remains regular for all values of the... (More)
We study classical and quantum chaos for two interacting particles on the plane. This is the simplest nontrivial case which sheds light on chaos in interacting many-body systems. The system consists of a confining one-body potential, assumed to be a deformed harmonic oscillator, and a two-body interaction of Coulomb type. In general, the dynamics is mixed with regular and chaotic trajectories. The relative roles of the one-body field and the two-body interaction are investigated. Chaos sets in as the strength of the two-body interaction increases. However, the degree of chaoticity strongly depends on the shape of the one-body potential and, for some shapes of the harmonic oscillator, the dynamics remains regular for all values of the two-body interaction. Scaling properties are found for the classical as well as for the quantum mechanical problem. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
70
issue
3
publisher
American Physical Society
external identifiers
  • wos:000224302300048
  • scopus:37649030384
ISSN
1063-651X
DOI
10.1103/PhysRevE.70.036207
language
English
LU publication?
yes
id
9450562a-bd76-4bd3-8cb5-1bda45aab7c8 (old id 905400)
date added to LUP
2008-01-18 11:17:59
date last changed
2017-08-20 04:19:08
@article{9450562a-bd76-4bd3-8cb5-1bda45aab7c8,
  abstract     = {We study classical and quantum chaos for two interacting particles on the plane. This is the simplest nontrivial case which sheds light on chaos in interacting many-body systems. The system consists of a confining one-body potential, assumed to be a deformed harmonic oscillator, and a two-body interaction of Coulomb type. In general, the dynamics is mixed with regular and chaotic trajectories. The relative roles of the one-body field and the two-body interaction are investigated. Chaos sets in as the strength of the two-body interaction increases. However, the degree of chaoticity strongly depends on the shape of the one-body potential and, for some shapes of the harmonic oscillator, the dynamics remains regular for all values of the two-body interaction. Scaling properties are found for the classical as well as for the quantum mechanical problem.},
  articleno    = {036207},
  author       = {Radionov, Sergey and Åberg, Sven and Guhr, Thomas},
  issn         = {1063-651X},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review E},
  title        = {Regularity and chaos in interacting two-body systems},
  url          = {http://dx.doi.org/10.1103/PhysRevE.70.036207},
  volume       = {70},
  year         = {2004},
}