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Open Quantum Systems Decoherence

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

arXiv
Authors: Rafael Bautista-Mena

Year

2020

Paper ID

19792

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

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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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • I develop the solution to the problem of an electron confined in a composite quadratic well subject to a simple, external periodic force.

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