Approximation properties of basis functions in variational three-body problem
Abstract
A new variational basis with well-behaved local approximation properties and multiple output is proposed for Coulomb systems. The trial function has proper behaviour at all Coulomb centres. Nonlinear asymptotic parameters are introduced softly: they do not destroy the self-optimized local behaviour of the wave function at vanishing interparticle distances. The diagonalization of the Hamiltonian on a finite Hilbert subspace gives a number of meaningful eigenvalues. Thus together with the ground state some excited states are also reliably approximated. For three-body systems all matrix elements are analytically obtainable up to rational functions of asymptotic parameters. The feasibility of the new basis usage has been proved by a pilot computer algebra calculation. The negative sign of an electron pair local energy at their Coulomb centre has been revealed. PACS number: 31.15.Pf
Cite
@article{arxiv.physics/0009082,
title = {Approximation properties of basis functions in variational three-body problem},
author = {Vladimir S. Vanyashin},
journal= {arXiv preprint arXiv:physics/0009082},
year = {2007}
}
Comments
Latex, 6 pages, talk given at the International Conference dedicated to the memory of Professor Efim Fradkin, Moscow, 5 - 10 May 2000, to appear in the Conference Proceedings