Excited states of spherium
Other Condensed Matter
2011-01-14 v2 Strongly Correlated Electrons
Chemical Physics
Computational Physics
Abstract
We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting {\em via} a Coulomb potential, but restricted to remain on the surface of a -dimensional sphere. Polynomial solutions are found for the ground state, and for some higher () states. Kato cusp conditions and interdimensional degeneracies are discussed.
Keywords
Cite
@article{arxiv.1004.3641,
title = {Excited states of spherium},
author = {Pierre-François Loos and Peter M. W. Gill},
journal= {arXiv preprint arXiv:1004.3641},
year = {2011}
}
Comments
6 pages, 2 figures, to appear in Mol. Phys