Generalized Kustaanheimo-Stiefel transformations
Abstract A theory is given for the construction of generalized Kustaanheimo—Stiefel (KS) transformations for dimensions q+1 ( q=2 h , h=0, 1, 2, ...) of the Kepler problem, and the following proposition is proved: A connection between the Kepler problem in a real space of dimension q+1 and the problem of an isotropic harmonic oscillator in a real space of dimension N exists and can be ...
