Quebec Mathematical Sciences Colloquium

December 12, 2008 from 16:00 to 18:00 (Montreal/Miami time) On location

Solvable Schroedinger Equations and Representation theory

Colloquium presented by Alexander Turbiner (CRM and National University of Mexico, Mexico)

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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UQAM, Pavillon Sherbrooke, 200 Sherbrooke W., room SH 3420