Published March 26, 2010 | Version v1
Journal article Metadata-only

An extended geometric criterion for chaos in the Dicke model

Creators

  • 1. Institute of Theoretical Physics, Shanxi University, Taiyuan 030006 (China)

Description

We extend HBLSL's (Horwitz, Ben Zion, Lewkowicz, Schiffer and Levitan) new Riemannian geometric criterion for chaotic motion to Hamiltonian systems of weak coupling of potential and momenta by defining the 'mean unstable ratio'. We discuss the Dicke model of an unstable Hamiltonian system in detail and show that our results are in good agreement with that of the computation of Lyapunov characteristic exponents.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/43/12/125105

Additional details

Identifiers

DOI
10.1088/1751-8113/43/12/125105;
PII
S1751-8113(10)44447-9;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
43
Journal Issue
12
Journal Page Range
[5 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41068404
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; GEOMETRY; HAMILTONIANS; LYAPUNOV METHOD; POTENTIALS
Descriptors DEC
CALCULATION METHODS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS