摘要：根据文献的理论,建立超微粒子一维量子振动系统的量子跃迁理论,得到在微扰作用下,超微粒子一维量子振动系统能态之间的跃迁几率。

关键词： 超微粒子;能级;波函数;跃迁

Abstract：Based on the theory of Reference the quantum transition theory of one-dimensional quantum oscillatory system for ultrafine particles is established．T he transition probability of energy levels of one-dimensional quantum oscillatory system for ultrafine particles are obtained． 

Keywords：ultrafine particles；energy level；wave function；transitio