附加δ势垒对一维半无限深势阱影响的研究

Research on the Effects of Additional Delta Barrier to One Dimensional Semi- infinite Deep Potential Well

通过对添加δ势垒的一维半无限深势阱的薛定谔方程进行求解,得到了粒子运动的波函数和能级的相关公式,分析发现,δ势垒的添加以及它的强度与位置的变化对能级都有影响。对比不含δ势垒的一维半无限深势阱的能级,探究δ势垒的添加对原能级产生的影响,并利用Mathematica作图来直观显示这一影响。

By adding the delta barrier of one dimensional semi - infinite deep potential well, and solving the schradinger equa- tion, the related formula of particle movement of wave function and energy level are obtained. Through analysis we found that the delta barrier to add and its change on the energy level of the position and strength are affected. Contrast does not contain the delta barrier in one dimensional semi - infinite deep trap energy level. In addition, we explore the delta barrier to add to the impact of the original energy level, and use the Mathematica graphic visual indication to this effect.