A numerical procedure to solve the multichannel Schrödinger eigenvalue problem

DOI10.1016/j.cpc.2006.09.004zbMath1196.81108OpenAlexW2078343498MaRDI QIDQ710082

Guido Vanden Berghe, Marnix van Daele, Veerle Ledoux

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.2006.09.004

zbMATH Keywords

eigenvalue problemcoefficient approximationmultichannel Schrödinger problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (6)

Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms ⋮ The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations ⋮ Numerical solution of singular ODE eigenvalue problems in electronic structure computations ⋮ Grassmannian spectral shooting ⋮ Limit cycles in nonlinear excitation of clusters of classical oscillators ⋮ Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems

Uses Software

• MATSLISE

Cites Work

• Unnamed Item
• Unnamed Item
• \(CPM\{P,N\}\) methods extended for the solution of coupled channel Schrödinger equations
• Automatic solution of regular and singular vector Sturm-Liouville problems
• Numerical solution of eigenvalue problems for Hamiltonian systems
• Discrete and continuous boundary problems
• MATSLISE
• Functional-discrete Method (FD-method) for Matrix Sturm-Liouville Problems

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