The Conformal Group SU(2,2) and Integrable Systems on a Lorentzian Hyperboloid

M. A. del Olmo, M. A. Rodriguez, P. Winternitz

Eleven different types of "maximally superintegrable" Hamiltonian systems on the real hyperboloid $(s^0{)}^2-(s^1{)}^2+(s^2{)}^2-(s^3{)}^2=1$ are obtained. All of them correspond to a free…