Numerical implementation of the ellipsoidal wave equation and application to ellipsoidal quantum dots

DOI10.1016/J.CPC.2005.04.006zbMath1196.81079OpenAlexW1984018848MaRDI QIDQ709810

L. C. Lew Yan Voon, Morten Willatzen

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2005.04.006

zbMATH Keywords

Dirichlet boundary conditionnumerical implementationellipsoidal nanostructuresellipsoidal wave equation

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (2)

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems ⋮ Exact solutions of Schrödinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials

Cites Work

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• Helmholtz equation in parabolic rotational coordinates: Application to wave problems in quantum mechanics and acoustics
• Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method
• PERTURBATION SOLUTIONS OF THE ELLIPSOIDAL WAVE EQUATION
• A New Treatment of the Ellipsoidal Wave Equation
• On the Numerical Construction of Ellipsoidal Wave Functions
• Evaluation of Lamé angular wave functions by solving auxiliary differential equations
• Energy Levels of a Spheroidal Nuclear Well

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