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arXiv · 2010.10518

The periodically driven electron in a quantum well with two characteristic curvatures -- redux

Rafael Bautista-Mena
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Abstract

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.

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Rafael Bautista-Mena. 2020-10-20. The periodically driven electron in a quantum well with two characteristic curvatures -- redux. https://arxiv.org/abs/2010.10518

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