Fast Computation of the Slater Integrals

DOI10.1137/050641004zbMath1120.65025OpenAlexW2049129906MaRDI QIDQ5296040

M. Penny Scott, N. S. Scott, L. Gr. Ixaru

Publication date: 31 July 2007

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050641004

zbMATH Keywords

numerical exampleseigenfunctionsSchrödinger equationHamiltonian matricesexponential fittingR-matrixCP methodsNewton-Cotes methodcomputational atomic physicsfrequency dependent weightsSlater integral

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computation of special functions and constants, construction of tables (65D20) Atomic physics (81V45) (S)-matrix theory, etc. in quantum theory (81U20) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ 2DRMP: A suite of two-dimensional R-matrix propagation codes

Uses Software

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