电子隧穿问题的数值算法

A New Approach to Electron Tunnelling

文中给出了计算电子隧穿问题的一种新的数值方法，该方法适用于任意形状的一维势垒。在该算法中，首先用Ｎｕｍｅｒｏｖ算法求解薛定谔方程，然后再利用所得结果计算电子透射系数。为检验算法的精度，计算了电子对矩形双势垒及三角形势垒的透射系数，并与相应的精确解做了比较，结果表明该方法具有很高的精度。

A new approach to electron tunnelling,which can be applied to onedimensional potential barriers with arbitrary profile,is presented.In the approach,the electron transmission coefficient is obtained from the solution of the schrodinger equation which can be numerically solved with Numerov algorithm.In order to test the accuracy of the approach,the transmission coefficients of the electron tunnelling through a doublebarrier and through a trianglebarrier are calculated.A comparison of these numerical results with corresponding analytical values shows that this approach is of very high accuracy.