The Sp(1)-Kepler problems
The Sp(1)-Kepler problems
Let n≥2 be a positive integer. To each irreducible representation σ of Sp(1), an Sp(1)-Kepler problem in dimension (4n−3) is constructed and analyzed. This system is superintegrable, and when n=2 it is equivalent to a generalized MICZ-Kepler problem in dimension of 5. The dynamical symmetry group of this system is …