CRM and National University of Mexico, Mexico
12 décembre 2008 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place
A notion of solvability of the eigenvalue problem for a Schroedinger operator is introduced. It is shown that a classification of known exact solutions is related to a classification of spaces of polynomials which are finite-dimensional representation spaces of certain Lie algebras of differential operators. As a result one obtains a Lie-algebraic theory of exact solutions of differential and difference equations. As a surprising byproduct a new procedure for calculating Selberg integrals emerges.
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