PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu, Amy Hanley.

Title:Superintegrability and exactly solvable problems in classical and quantum mechanics
Seminar:Department of Mathematics Colloquium
Speaker:Willard Miller, Jr., University of Minnesota
Quantum superintegrable systems are systems with maximum symmetry, which permits their explicit solvability. Integrable systems in n dimensional space are defined by n mutually commuting symmetry operators. Superintegrable systems admit 2n-1 symmetry operators which cannot all mutually commute. The symmetries generate closed algebraic structures, usually not Lie algebras, The irreducible representations of these algebras yield important information about the eigenvalues and eigenspaces of the quantum systems. Distinct superintegrable systems and their symmetry algebras are related by geometric contractions which have important physical and geometric implications, such as the Askey scheme for obtaining all hypergeometric orthogonal polynomials as limits of Racah/Wilson polynomials. We introduce the subject and and survey the theory behind the discovery and classification of these remarkable systems.

Room Reservation Information

Room Number:MB114
Date:01 / 28 / 2016
Time:03:35pm - 04:35pm