Numerical solution of the Schrödinger equation with a non-local exchange kernel

DOI10.1016/0021-9991(87)90046-5zbMath0619.65143OpenAlexW2074832368MaRDI QIDQ1089779

Joseph Callaway, Dipak H. Oza

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)90046-5

zbMATH Keywords

Green's functionsYukawa potentialnumerical stabilityscattering problemsSchrödinger's equationelectron scatteringNewton-Cotes formulaehydrogenic ionsnonlocal exchange kernel

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) Quantum scattering theory (81U99) Integral equations with miscellaneous special kernels (45H05)

Related Items (1)

High-order Newton-Cotes integration methods in scattering theory

Uses Software

• IMSL Numerical Libraries

Cites Work

• Comparison of numerical solutions of the partial-wave Schrödinger differential and integral equations
• Application of the El-Gendi method to the Schrödinger integral equation
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations
• The Scattering of Thermal Neutrons by Deuterons

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