XXII WORKSHOP ON GEOMETRIC METHODS IN PHYSICS

29 JUNE - 5 JULY 2003, BIAŁOWIEŻA, POLAND


Carlos Villegas-Blas - The Bargmann transform for the 3-sphere and regularization of the Kepler problem


In this talk, ee introduce a Bargmann Transform for the space of square integrable functions on the 3-sphere. From the kernel of such a transform, we obtain a canonical transformation that links two known ways to regularize the Kepler problem: The Kustaanheimo-Steifel and the Moser regularizations.