摘要：根据么正变换理论，并结合SU (1, 1) Lie代数，对超细颗粒的量子尺寸效应进行详细研讨。结果表明，超细颗粒的能级随时间变化，并且是精确的。

关键词：超细颗粒;量子尺寸效应;量子力学;

Abstract：Based on the theory of unitary transformation and of SU (1, 1) Lie algebra, the quantum size effect of ultrafine particle is discussed in detail in this paper The energy eigenvalues of ultrafine particle are presented These solutions are of the time-dependent type

Keyword：ultrafine particle;quantum size effect;quantum mechanics;