Even and odd coherent states for time-dependent harmonic oscillator

被引:0
作者
Wei, LF [1 ]
Yang, QY
Wang, SJ
机构
[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[2] Guangxi Univ, Dept Phys, Nanning 530003, Peoples R China
[3] SW Jiao Tong Univ, Inst Phys, Chengdu 610031, Peoples R China
[4] Lanzhou Univ, Dept Modern Phys, Lanzhou 730000, Peoples R China
关键词
even and odd coherent states; time-dependent harmonic oscillator; dynamical invariant;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The dynamical invariant for a general time-dependent harmonic oscillator is constructed by making use of two linearly independent solutions to the classical equation of motion. In terms of this dynamical invariant we define the time-dependent creation and annihilation operators and relevantly introduce even and odd coherent states for time-dependent harmonic oscillator. The mathematical and quantum statistical properties of these states are discussed in detail. The harmonic oscillator with periodically varying frequency is treated as a demonstration of our general approach.
引用
收藏
页码:25 / 30
页数:6
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