摘要：根据实么正变换理论 ,并结合SU( 1 ,1 )Lie代数 ,对超细颗粒的阻尼振动量子尺寸效应进行详细研讨。结果表明 ,超细颗粒阻尼振动系统的能级和波函数随时间变化的规律较复杂。通过系统坐标期望值和动量期望值的计算 ,证明系统的微观态是可以精确测准的。

关键词：超细颗粒;阻尼振动;量子尺寸;

Abstract：Based on the theory of unitary transformation and SU（1‚1）Lie algebra，the quantum size effect of damped oscilla tion for ultrafine particle is discussed in this paper．T he energy eigenvalues of ultrafine particle are presented．T hese solutions are of the time－dependent type．State of quantum system is certainty． 

Key words：ultrafine particle；damped oscillation；quantum size