Two Electrons on a Hypersphere: A Quasiexactly Solvable Model

Loos, Pierre-Francois; Gill, Peter

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Two Electrons on a Hypersphere: A Quasiexactly Solvable Model

Date

2009

Authors

Loos, Pierre-Francois

Gill, Peter

Publisher

American Physical Society

Abstract

We show that the exact wave function for two electrons, interacting through a Coulomb potential but constrained to remain on the surface of a D-sphere (D≥1), is a polynomial in the interelectronic distance u for a countably infinite set of values of the