Integral equations: A tool to solve the Schrödinger equation

DOI10.1016/0021-9991(87)90051-9zbMath0609.65061OpenAlexW2045914344MaRDI QIDQ1086992

M. M. Montoya, E. Buendía, R. Guardiola

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90051-9

zbMATH Keywords

singularitiesSchrödinger equationsplittingbound state problemEuler-McLaurin sum rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Green's functions for ordinary differential equations (34B27) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (2)

Integral equation method for the continuous spectrum radial Schrödinger equation ⋮ The integral equation method for a steady kinematic dynamo problem

Cites Work

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• On the numerical integration of the Schrödinger equation: Numerical tests
• Extended Numerov method for the numerical solution of the Hartree–Fock equations
• The Numerov method and singular potentials

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