A chainlike relative coordinate system for few-particle problems

DOI10.1007/s10910-016-0696-6zbMath1384.81022OpenAlexW2527816100MaRDI QIDQ1704727

James Emil Avery, John Scales Avery

Publication date: 13 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10910-016-0696-6

zbMATH Keywords

Laplace-Beltrami operator\(N\)-body problemCoulomb sturmiansYukawa potentialsfew-particle quantum systemsnon-Born-Oppenheimer calculations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Molecular physics (81V55) (n)-body problems (70F10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Uses Software

• Sturmian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Atomic core-ionization energies; approximately piecewise-linear and linear relationships
• Harmonic polynomials, hyperspherical harmonics, and atomic spectra
• A formula for angular and hyperangular integration
• Many-particle Sturmians
• The generalized Sturmian method for calculating spectra of atoms and ions
• Molecular integrals for Slater type orbitals using Coulomb Sturmians
• The Generalized Sturmian Method
• Symmetry-Adapted Basis Sets

This page was built for publication: A chainlike relative coordinate system for few-particle problems