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Finite and infinite elements for a simple problem in quantum mechanics

Bettess, P; Abram, RA

Authors

P Bettess

RA Abram



Abstract

Finite element and infinite element models are used to predict the behaviour of a simple example problem in quantum mechanics, that of a linear harmonic oscillator. It is shown that good agreement with the analytical solution is obtained and that the infinite elements give a significant improvement in accuracy at virtually no cost. It is concluded that finite and infinite elements models are a promising method for quantum mechanics problems.

Citation

Bettess, P., & Abram, R. (2002). Finite and infinite elements for a simple problem in quantum mechanics. Communications in numerical methods in engineering, 18(5), 325-334. https://doi.org/10.1002/cnm.488

Journal Article Type Article
Publication Date May 1, 2002
Deposit Date Dec 16, 2010
Journal Communications in Numerical Methods in Engineering
Print ISSN 1069-8299
Electronic ISSN 1099-0887
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 18
Issue 5
Pages 325-334
DOI https://doi.org/10.1002/cnm.488
Keywords Quantum mechanics, Finite elements, Infinite elements.


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