Wednesday, February 5, 3:30 PM, VinH 209
Ernie Kalnins, University of Waikato, Hamilton, New Zealand

Title: Coulomb-oscillator duality in spaces of constant curvature

Abstract: We discuss the generalizations to spheres of the Levi-Civita,
Kustaanheimo-Stiefel and Hurwitz regularizing transformations in
Euclidean spaces of dimensions 2, 3 and 5. These transformations relate
classical and quantum mechanical analogues of the Kepler-Coulomb problem
to analogues of the oscillator problem.