论文标题
带有两个特征曲率的量子井中的定期驱动电子 - redux
The periodically driven electron in a quantum well with two characteristic curvatures -- redux
论文作者
论文摘要
我为限制在复合二次井中的电子问题开发解决方案，受到简单的外部周期性的影响。解决方案的方法说明了几种用于正式求解一维的，时间依赖的Schrodinger方程的基本技术。本练习的目的之一是在耕作数值方法之前，看看可以推动分析的能力多远。我希望这个问题的介绍可能会导致对其他寻求获得额外经验的人，以在一个空间维度中解决时间依赖的Schrodinger方程的细节。
I develop the solution to the problem of an electron confined in a composite quadratic well subject to a simple, external periodic force. The method of solution illustrates several of the basic techniques useful in formally solving the one-dimensional, time-dependent Schrodinger equation. One of the aims of this exercise is to see how far is it possible to push analytics, before plowing into numerical methods. I hope this presentation of the problem may result useful to others seeking to gain additional experience in the details of solving the time-dependent Schrodinger equation in one space dimension.
