On quantal bound state solutions and potential energy surface fitting. A comparison of the finite element, Numerov-Cooley and finite difference methods

DOI10.1016/0021-9991(80)90051-0zbMath0458.65073OpenAlexW2050794342MaRDI QIDQ1151739

Don Secrest, David J. Malik, Joseph Eccles

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90051-0

zbMATH Keywords

finite elementsfinite differencesSchrödinger equationRayleigh-Ritz methodcomparisonsMorse oscillatorNumerov-Cooley method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations ⋮ 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

• Method for smooth approximation of data
• On the numerical integration of the Schrödinger equation with a double- minimum potential
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