摘要：根据一维量子谐振子的湮灭算符和产生算符为实算符的观点 ,结合SU( 1,1)Lie代数理论 ,对超细颗粒量子耦合系统的能级和波函数进行详细研讨

关键词：超细颗粒;耦合;能级;波函数;

Abstract：Based on the theory of real operator and SU（1，1）Lie algebra，the quantum doublets of ultrafine particles are discussed in detail in this paper．The energy eigenvalues of quantum doublets are presented．These solutions are of the time－dependent type． 

Key words：ultrafine particle；double；energy eigenvalues； wave function