Forced time-dependent harmonic oscillator in a static magnetic field: Exact quantum and classical solutions

被引：3

作者：

Liang, ML ^{[1
]}

Zhang, WQ

机构：

[1] Tianjin Univ, Sch Sci, Dept Appl Phys, Tianjin 300072, Peoples R China

[2] LiuHui Ctr Appl Math, Tianjin, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2003年 / 42卷 / 12期

关键词：

harmonic oscillator; magnetic field; exact wave function; exact classical solution;

D O I：

10.1023/B:IJTP.0000006015.05376.6b

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact wave functions of the forced time-dependent two-dimensional harmonic oscillator in a static magnetic field are derived by unitary transformation. The geometrical phase induced by the driving force is the phase of the de Broglie wave associated with the particle moving according to the classical equation. Extending the idea of the Heisenberg correspondence principle to the time-dependent system, the exact classical solution. (v)over dot obtained from quantum matrix elements.

引用

页码：2881 / 2889

页数：9

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