On the evaluation of integrals with Coulomb Sturmian radial functions

DOI10.1007/s10910-015-0588-1zbMath1356.81128OpenAlexW2236724995MaRDI QIDQ282166

Daniel A. Morales

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10910-015-0588-1

zbMATH Keywords

Coulomb sturmianselectronic structure theorySlater type orbitalsSTO molecular integralssturmian functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Molecular physics (81V55)

Related Items (2)

Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group ⋮ The computation of radial integrals with nonclassical quadratures for quantum chemistry and other applications

Uses Software

• Sturmian

Cites Work

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• Molecular integrals for Slater type orbitals using Coulomb Sturmians
• Application of Sturmian functions to the Schrödinger three-body problem: Elastic \(e^ +\)-H scattering
• The Generalized Sturmian Method
• Slater-Type Orbital Basis Sets: Reliable and Rapid Solution of the Schrödinger Equation for Accurate Molecular Properties
• Addition theorems for B functions and other exponentially declining functions
• On the eigenfunctions of many-particle systems in quantum mechanics
• Weakly convergent expansions of a plane wave and their use in Fourier integrals
• Analytic Atomic Wave Functions
• The termination of the afferent nerve fibre in the muscle spindle of the frog

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