利用转移矩阵和MATLAB求解一维薛定谔方程的一种简捷方法

A Simple Method for Solution of One-dimensional Schrdinger Equation with Transfer Matrix and MATLAB

在用矩阵转移法求解一维定态薛定谔方程时,不用矩阵迭代,而是将矩阵展开为一个线性方程组,利用MATLAB提供的矩阵左除命令,即可获得各区间波函数的近似值。该方法不需要花费较多精力编程,具有概念简单、使用方便、实用性强等特点。

While solving one-dimensional time-independent Schrodinger equation based on transfer matrix method, after the matrixes are expressed with a number of linear equations instead of matrix iteration, the approximation of wave function on each interval can be obtained with matrix left division command in MATLAB. It is simple in concept, convenient in operation, practical in universality and without more efforts in programming.