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

• URL: http://arxiv.org/abs/2010.10518v2
• Date: Sun, 25 Oct 2020 00:49:45 GMT
• Title: The periodically driven electron in a quantum well with two characteristic curvatures -- redux
• Authors: Rafael Bautista-Mena
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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