Evaluation of Hylleraas-CI atomic integrals by integration over the coordinates of one electron. I: Three-electron integrals

DOI10.1007/S10910-008-9397-0zbMath1187.92089OpenAlexW2023293052MaRDI QIDQ1028014

María Belén Ruiz

Publication date: 30 June 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-008-9397-0

zbMATH Keywords

kinetic energySlater orbitalsHylleraas-CIthree-electron integrals

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Computational methods for problems pertaining to biology (92-08)

Related Items (4)

Calculation of STOs electron repulsion integrals by ellipsoidal expansion and large-order approximations ⋮ Evaluation of Hylleraas-CI atomic integrals by integration over the coordinates of one electron. IV: An improved algorithm for three-electron kinetic energy integrals ⋮ Analysis of atomic integrals involving explicit correlation factors for the three-electron case. I: Connection to the hypergeometric function \(_{3}F_{2}\) ⋮ Evaluation of Hylleraas-CI atomic integrals. III: Two-electron kinetic energy integrals

Uses Software

• Maple

Cites Work

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• Evaluation of some integrals required in low-energy electron or positron- atom scattering
• On the eigenfunctions of many-particle systems in quantum mechanics
• Atomic Many-Body Problem. II. The Matrix Components of the Hamiltonian with Respect to Correlated Wave Functions
• Variational Calculation of the Ground State of the Lithium Atom
• Generalization of Laplace's Expansion to Arbitrary Powers and Functions of the Distance between Two Points
• On the Ground State of Lithium

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