中文摘要：

当双射频Paul阱系统加上一个激光操控时，精确求解体系的Schrodinger方程发现，操控激光的频率与Paul阱的频率两者比值满足某些离散值时，双射频Paul阱内的离子运动出现局域化现象，这现象与1986年Dunlap和Kenkre发现的无穷晶格链系统中的动力学局域化现象相似．但是，后者出现的条件是驱动场强与频率的比值为某些离散值，考虑到通常共振现象出现的条件，这里计算得出的是一种新的动力学局域化现象．

英文摘要：

An exact solution of the Schrodinger equation for the system is constructed. It is found that when the ratio of the driving frequency to the radio frequency is equal to certain discrete values, the double-rf Paul trap exists stable spatially localized states. This phenomenon is similar to the dynamic localization of a particle on a discrete lattice reported by of the field magnitude to the dynamic localization. Dunlap and Kenkre in 1986. However, the conditions for the latter case deal with the ratio the field frequency. The results of our calculations demonstrate a new category concerning