Two electrons in an external oscillator potential: hidden algebraic structure
High Energy Physics - Theory
2009-09-25 v1 Condensed Matter
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
It is shown that the Coulomb correlation problem for a system of two electrons (two charged particles) in an external oscillator potential possesses a hidden -algebraic structure being one of recently-discovered quasi-exactly-solvable problems. The origin of existing exact solutions to this problem, recently discovered by several authors, is explained. A degeneracy of energies in electron-electron and electron-positron correlation problems is found. It manifests the first appearence of hidden -algebraic structure in atomic physics.
Cite
@article{arxiv.hep-th/9406018,
title = {Two electrons in an external oscillator potential: hidden algebraic structure},
author = {Alexander Turbiner},
journal= {arXiv preprint arXiv:hep-th/9406018},
year = {2009}
}
Comments
7 pages (plus one figure avaliable via direct request), LaTeX, Preprint IFUNAM FT 94-43