Finite and infinite elements for a simple problem in quantum mechanics

Bettess, P; Abram, RA

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.
• Public URL: https://durham-repository.worktribe.com/output/1581446