用基函数展开法求解一维有限深方势阱模型

Solution of one-dimensional finite symmetric square potential well model using the basis expansion method

用基函数展开法求解了一维有限深方势阱模型,所得结果与在坐标表象中直接求解薛定谔方程所得结果完全一致.重要的是这一求解过程为量子力学中基函数展开方法的教授与学习提供了一个范例,也为量子力学问题的计算机求解的教与学提供了参考.

The one-dimensional finite symmetric square potential well model is studied by using the basis expansion method. The results are in agreement well with those obtained ones by solving the Schrt^dinger equation in the coordinate representation. The calculation is a good illustration of the basis expansion method in the quantum mechanics and provides a good example for teaching and studying of the method. In addition, numerical evaluation of the results also provides a good reference for teaching and studying of solving quantum problems by using computers.