A new multi-purpose software package for Schrödinger and Sturm-Liouville computations

DOI10.1016/0010-4655(91)90119-6zbMath0875.65141OpenAlexW1985325542MaRDI QIDQ1366258

John D. Pryce, Marco Marlettta

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1016/0010-4655(91)90119-6

zbMATH Keywords

Schrödinger equationSturm-Liouville problems

Mathematics Subject Classification ID

Packaged methods for numerical algorithms (65Y15) Numerical methods for ordinary differential equations (65Lxx)

Related Items

Classical and vector Sturm-Liouville problems: Recent advances in singular-point analysis and shooting-type algorithms ⋮ Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain ⋮ Numerical methods for the eigenvalue determination of second-order ordinary differential equations ⋮ The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian ⋮ Solving differential eigenproblems via the spectral Tau method ⋮ Computing high-index eigenvalues of singular Sturm-Liouville problems ⋮ Numerical solution of singular ODE eigenvalue problems in electronic structure computations ⋮ Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain ⋮ Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation

Cites Work

• Efficient computation of the Prüfer phase function for determining eigenvalues of Sturm-Liouville systems
• A direct method for modifying certain phase-integral approximations of arbitrary order
• The error analysis of the algebraic method for solving the Schrödinger equation
• Uniform estimation of the eigenvalues of Sturm–Liouville problems
• Error Control of Phase-Function Shooting Methods for Sturm-Liouville Problems
• Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation