The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line

DOI10.1007/s10910-006-9083-zzbMath1124.65067OpenAlexW2155471204MaRDI QIDQ2385363

H. Alıcı, Hasan Taşeli

Publication date: 12 October 2007

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-006-9083-z

zbMATH Keywords

numerical examplesSchrödinger operatorLaguerre polynomialsHermite-Weber functionsquantum mechanical oscillatorssingular Sturm-Liouville problems on the real linespectral and pseudospectral methodseigenvalues problemLaguerre collocation pointsreflection symmetric Hamiltonians

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (5)

A Rayleigh-Ritz method for numerical solutions of linear Fredholm integral equations of the second kind ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation ⋮ The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials ⋮ Pseudospectral methods for solving an equation of hypergeometric type with a perturbation ⋮ Pseudospectral methods of solution of the Schrödinger equation

Cites Work

• The scaled Hermite-Weber basis in the spectral and pseudospectral pictures
• The scaled Hermite--Weber basis still highly competitive
• On the Schrodinger equation for the gaussian potential -A exp(-λr²)
• A note on the Schrodinger equation for the potential A exp(-x²)-l(l+1)/x²
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