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.