Published 1995
| Version v1
Journal article
Order and chaos described by a quadrupole boson Hamiltonian
Creators
- 1. Department of Theoretical Physics, Institute of Physics and Nuclear Engineering, Institute of Atomic Physics, PO Box MG-6, R-76900 Bucharest, (Romania)
Description
A fourth order quadrupole boson Hamiltonian is semi-classically treated through a time dependent variational principle. The variational states are coherent functions for the boson operators b20+,1/√2(b22+ + b2-2+). The classical equations of motion are numerically solved. Under certain circumstances the classical trajectories have a chaotic character. The regular and chaotic orbits are pictorially presented by their intersections with Poincare section. The stability of classical orbits is also studied. For illustrative purposes the Lyapunov exponent for several orbits of both regular and chaotic type is computed. (author) 10 figs., 43 refs
Additional details
Publishing Information
- Journal Title
- Romanian Journal of Physics
- Journal Volume
- 40
- Journal Issue
- 4-5
- Journal Page Range
- p. 433-451.
- ISSN
- 1221-146X
- CODEN
- RJPHEC
INIS
- Country of Publication
- Romania
- Country of Input or Organization
- Romania
- INIS RN
- 27042779
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- ANNIHILATION OPERATORS; BOSON EXPANSION; BOSONS; COLLECTIVE MODEL; EIGENSTATES; EQUATIONS OF MOTION; HAMILTONIANS; LYAPUNOV METHOD; NUMERICAL SOLUTION; ORBIT STABILITY; ORDER-DISORDER MODEL; QUADRUPOLE MOMENTS; QUANTUM OPERATORS; SEMICLASSICAL APPROXIMATION; TIME DEPENDENCE; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; PARTIAL DIFFERENTIAL EQUATIONS; STABILITY