Journal Title

American Journal of Physics

Publication Date

2006

Abstract

We investigate the problem of a quantum particle in a one-dimensional finite square well. In the standard approach the allowed energies are determined implicitly as the solutions to a transcendental equation. We obtain the spectrum analytically as the solution to a pair of parametric equations and algebraically using a remarkably accurate approximation to the cosine function. The approach is also applied to a variety of other quantum wells.

Subjects

Energy levels (Quantum mechanics); Quantum theory

Publication Information

Copyright 2006 American Association of Physics Teachers

DOI

10.1119/1.214077

Peer-Reviewed

Yes

Document Type

Journal Article

Included in

Physics Commons

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