摘要：提出了不明显与时间有关的不变量理论。将该理论应用到随时间变化外电场中的超细颗粒一维量子振动系统,给出了该量子系统哈密顿量的具体表示,得到了量子系统哈密顿量的本征值和本征函数。

关键词：超细颗粒;量子系统;电场;不变量理论;哈密顿量

Abstract：The inexplicity time-dependent invariant theory is developed.This theory is applied to one-dimensional quantal oscillatory system forultrafine particle in a time-dependent electric field. The expression of the Hamiltonian for quantal system is given. The eigenvalue and eigenfunc-tion of the Hamiltonian for quantal system are obtained.

Keywords：ultrafine particle; quantal system; electric field; invariant ;Hamiltonian