Completeness of superintegrability in two-dimensional constant curvature spaces

E. G. Kalnins, J. M. Kress, G. S. Pogosyan +1

We classify the Hamiltonians $H=p_x^2+p_y^2+V(x,y)$ of all classical superintegrable systems in two dimensional complex Euclidean space with second-order constants of the motion. W…