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International Journal of Mathematical Education in Science and Technology

The particle in a box with a perturbation

Francisco Marcelo Fernández

Published May 1, 1999• 4 citations
Publisher

Abstract

We apply perturbation theory to the particle in a box with a potential energy function and derive exact expressions for the perturbation corrections to the eigenfunctions and eigenvalues. We show closed-form results in terms of the quantum number for the linear potential and analyse the convergence properties of the perturbation series.
DOI
10.1080/002073999287923

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