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It is shown that the Coulomb correlation problem for a system of twoelectrons (two charged particles) in an external oscillator potential possessesa hidden $sl_2$-algebraic structure being one of recently-discoveredquasi-exactly-solvable problems. The origin of existing exact solutions to thisproblem, recently discovered by several authors, is explained. A degeneracy ofenergies in electron-electron and electron-positron correlation problems isfound. It manifests the first appearence of hidden $sl_2$-algebraic structurein atomic physics.Comment: 7 pages (plus one figure avaliable via direct request), LaTeX,  Preprint IFUNAM FT 94-4

Two electrons in an external oscillator potential: The hidden algebraic structure