一维含时受迫阻尼量子谐振子的严格解

摘要

The generalized linear quantum transformation theory is used to solve one-dimensional forced damped harmonic oscillator. The rigorous expressions of the system evolution operator, the propagator and wave function are given, and the expected value and quantum fluctuation of coordinate and momentum are calculat- ed. The results show that the damped harmonic oscillator have a compression effect to coordinate and momen- tum,and the stronger the damping,the stronger the compression effect.%运用广义线性量子变换普遍理论求解一维含时受迫阻尼谐振子，给出了系统演化算符、传播子、波函数的严格表达式，研究了坐标和动量的期望值和量子涨落，结果表明阻尼谐振子对于坐标和动量都有压缩效应，阻尼越强压缩效应越强．