量子力学中一维无限深势阱问题两种解题方法的比较

Comparison of Two Solving Problem Methods on One Dimensional Infinite Deep Potential Well in Quantum Mechanics

本文给出了量子力学一维无限深势阱中求解自由电子基态能量的两种解题方法,法一:利用波函数具有连续性的特点,根据边界条件求解;法二:根据求算符平均值的方法求解,求出能量的期待值.通过求解我们得到两种解题方法所得的结论一致,并对两种解题方法进行了对比.

In this paper, we get the ground state energy of the electron in one dimensional infinite deep potential well within two different methods. First, using the wave function continuity characteristics, we derive the ground state energy of the electron according to the boundary conditions. Then, we obtain the expected values of the energy by using opera-tor average value method. The results show that we get the same conclusion by using two methods. Finally, the two methods are compared in others.