Regularity and chaos in interacting two-body systems
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/905400
- author
- Radionov, Sergey LU ; Åberg, Sven LU and Guhr, Thomas LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 70
- issue
- 3
- article number
- 036207
- publisher
- American Physical Society
- external identifiers
-
- wos:000224302300048
- scopus:37649030384
- pmid:15524612
- ISSN
- 1063-651X
- DOI
- 10.1103/PhysRevE.70.036207
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- 9450562a-bd76-4bd3-8cb5-1bda45aab7c8 (old id 905400)
- date added to LUP
- 2016-04-01 15:50:25
- date last changed
- 2022-01-28 07:27:50
@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.}},
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}},
doi = {{10.1103/PhysRevE.70.036207}},
volume = {{70}},
year = {{2004}},
}