Vortex structure of quantum eigenstates and classical periodic orbits in two-dimensional harmonic oscillators

Yung-Fu Chen*, Kai-Feng Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)7751-7760
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number28
DOIs
StatePublished - 18 Jul 2003

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