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

被引：22

作者：

Chen, YF ^{[1
]}

Huang, KF ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Electrophys, Hsinchu 30050, Taiwan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 28期

关键词：

VORTICES; STATES;

D O I：

10.1088/0305-4470/36/28/305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：7751 / 7760

页数：10

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