A simplified quantum mechanical model of diatomic molecules

Lars Drud Nielsen

doi:10.1119/1.11510

A simplified quantum mechanical model of diatomic molecules

Lars Drud Nielsen

Department of Physics

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Abstract

A one-dimensional molecule model with Coulomb potentials replaced by delta functions is introduced. The mathematical simplicity of the model facilitates the quantum mechanical treatment and offers a straightforward demonstration of the essentials of two-particle problems. In spite of the crudeness of the model, quantitative results are obtained in fair agreement with those of a true hydrogen molecule.

Original language	English
Journal	American Journal of Physics
Volume	46
Issue number	9
Pages (from-to)	889-892
ISSN	0002-9505
DOIs	https://doi.org/10.1119/1.11510
Publication status	Published - 1978

Bibliographical note

Copyright (1978) American Association of Physics Teachers. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Association of Physics Teachers

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AB - A one-dimensional molecule model with Coulomb potentials replaced by delta functions is introduced. The mathematical simplicity of the model facilitates the quantum mechanical treatment and offers a straightforward demonstration of the essentials of two-particle problems. In spite of the crudeness of the model, quantitative results are obtained in fair agreement with those of a true hydrogen molecule.

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A simplified quantum mechanical model of diatomic molecules

Abstract

Bibliographical note

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