EXACT WAVE FUNCTIONS AND COHERENT STATES FOR A FORCED DAMPED HARMONIC OSCILLATOR

被引：5
|
作者：
Li, Ti-Jun [1 ]
机构：
[1] Heze Univ, Dept Phys, Heze 274015, Shandong, Peoples R China
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2008年 / 62卷 / 02期
关键词：
forced damped harmonic oscillator; Schrodinger equation; wave function; coherent state;
D O I：
10.1016/S0034-4877(08)00023-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The exact wave function psi(z(t))(n)(x, t) of Schrodinger equation for a forced damped harmonic oscillator is obtained using transformation of variables and factorization of a wave function, where suffix n takes values 0, 1, 2..... The mean value of the position or momentum satisfies the classical equation of motion. The uncertainty of position or momentum is related to time and independent of an external force, but their product being independent of time. When n = 0, psi(Z(t))(0)(x,t) expresses both the coherent states for a forced damped harmonic oscillator and the squeezed coherent states for a standard harmonic oscillator.
引用
收藏
页码：157 / 165
页数：9
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