Helmholtz equation in parabolic rotational coordinates: Application to wave problems in quantum mechanics and acoustics

DOI10.1016/J.MATCOM.2004.01.006zbMath1053.65093OpenAlexW2043750361MaRDI QIDQ598517

Sumit K. Garg

Publication date: 6 August 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.01.006

zbMATH Keywords

numerical exampleseigenfunctionsHelmholtz equationspectral methodAcoustic cavitiesFrobenius power series expansionParabolic rotational coordinatesQuantum dots

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral methods applied to problems in fluid mechanics (76M22) PDEs in connection with quantum mechanics (35Q40) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (3)

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems ⋮ On variational iterative methods for semilinear problems ⋮ Numerical implementation of the ellipsoidal wave equation and application to ellipsoidal quantum dots

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Helmholtz equation in parabolic rotational coordinates: Application to wave problems in quantum mechanics and acoustics