Issue 40, 2009

Resolutions of the Coulomb operator

Part III. Reduced-rank Schrödinger equations

Abstract

We consider a modified Schrödinger equation wherein the electron-electron repulsion terms rij−1 are approximated by truncated one-particle resolutions. Numerical results for the He atom and H2 molecule at the Hartree–Fock, second-order Møller–Plesset, and configuration interaction levels show that the solutions of the resulting reduced-rank Schrödinger equations converge rapidly, and that even low-rank approximations can yield energies with chemical accuracy.

Graphical abstract: Resolutions of the Coulomb operator Part III. Reduced-rank Schrödinger equations

Supplementary files

Article information

Article type
Paper
Submitted
29 May 2009
Accepted
13 Jul 2009
First published
14 Aug 2009

Phys. Chem. Chem. Phys., 2009,11, 9176-9181

Resolutions of the Coulomb operator

T. Limpanuparb and P. M. W. Gill, Phys. Chem. Chem. Phys., 2009, 11, 9176 DOI: 10.1039/B910613H

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