Wednesday, February 12, 3:30 PM, VinH 209
Ernie Kalnins, University of Waikato, Hamilton, New Zealand

Title: Classical and quantum constants of the motion (explicit
techniques)

Abstract: We discuss the explicit construction of all classical
constants of the motion, particularly those polynomial in the momenta,
for Hamiltonians of the form H+V on an n-dimensional Riemannian
manifold. Of special interest is the case where the Hamilton-Jacobi
equation is known to additively separate in some coordinate system. The
basic ideas of the construction extend to the quantum mechanical realm.