Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions

Mélisande Fortin Boisvert

Symmetry, integrability and geometry: methods and applications, Tome 3 (2007)

Résumé

The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schrödinger operators in three dimensions.

Détail

Keywords: quasi-exact solvability; Schrödinger operators; Lie algebras of first order differential operators; three dimensional manifolds.

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