Published July 18, 2003
| Version v1
Journal article
Vortex structure of quantum eigenstates and classical periodic orbits in two-dimensional harmonic oscillators
Creators
- 1. Department of Electrophysics, National Chiao Tung University, Hsinchu, Taiwan (China)
Description
The connection between the wavefunctions and the classical periodic orbits in a 2D harmonic oscillator is analytically constructed by using the representation of SU(2) coherent states. It is found that the constructed wavefunction generally corresponds to an ensemble of classical trajectories and its localization is extremely efficient. With the constructed wavefunction, we also analyse the property of the probability current density associated with the classical periodic orbit. The appearance of vortex structure in the quantum flow is clearly found to arise from the wave interference
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/7751/a32805.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/7751/a32805.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/28/305;
- PII
- S0305-4470(03)61752-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 28
- Journal Page Range
- p. 7751-7760
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35000478
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION OPERATORS; CURRENT DENSITY; EIGENSTATES; HARMONIC OSCILLATORS; ORBITS; PERIODICITY; QUANTUM MECHANICS; SU-2 GROUPS; TRAJECTORIES; WAVE FUNCTIONS
- Descriptors DEC
- FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS; VARIATIONS