Error sources in the standard numerical integration of the Schrödinger equation: An improved method

DOI10.1016/0021-9991(85)90184-6zbMath0565.65046OpenAlexW2080542539MaRDI QIDQ1058827

L. L. Salcedo, E. Oset

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90184-6

zbMATH Keywords

comparisonshooting methodradial Schrödinger equationNumerov methoderror sourcestruncation conditions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (2)

Numerov method maximally adapted to the Schrödinger equation ⋮ Solving the 1-, 2-, and 3-dimensional Schrödinger equation for multiminima potentials using the Numerov-Cooley method. An extrapolation formula for energy eigenvalues

Cites Work

• Practical points concerning the solution of the Schrödinger equation
• On the Connection Formulas and the Solutions of the Wave Equation
• Approximate Eigensolutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mfrac><mml:mo>)</mml:mo><mml:mo>+</mml:mo><…
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