摘要
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.
出处
《大学物理》
北大核心
2016年第8期39-43,共5页
College Physics
基金
国家自然科学基金(11275138)
天津职业技术师范大学科研基金(KJYB11-3)资助
关键词
一维有限深方势阱模型
基函数展开法
谐振子本征函数
算符的矩阵表示
one-dimensional finite symmetric square potential well model
basis expansion method
harmonic oscillator eigenfunction
matrix representation of operator
