一维薛定谔方程的数值解:Bloch波函数
Numerical Solution of the 1D Schrödinger Equation: Bloch Wavefunctions
摘要:
在这篇文章中,我们讨论了一个程序来解决一维(1D)薛定谔方程的周期势,这可能是很好的适合于教学能带结构理论。该过程在概念上非常简单,因此可以用于教授本科层次的能带理论;同时,该观点是实用的,因此学生可以实验计算带隙和能带结构的其他特征。该方法的另一个优点在于它不使用势的特定对称性,因此结果通常是有效的。
英文摘要:
In this article we discuss a procedure to solve the one dimensional (1D) Schroedinger Equation for a periodic potential, which may be well suited to teach band structure theory. The procedure is conceptually very simple, so that it may be used to teach band theory at the undergraduate level; at the same time the point of view is practical, so that the students may experiment computing band gaps, and other features of band structure. Another advantage of the procedure lies in that it does not use specific symmetry properties of the potential, so that the results are generally valid.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。