Title: On the Bargmann Transform and Regularization of the Kepler Problem in Dimensions n=2,3,5

Speaker: Carlos Villegas-Blas

Institution: Instituto de Matemáticas, Unidad Cuernavaca, UNAM, Cuernavaca Morelos, México

Abstract

In this talk we will introduce a Bargmann Transform (BT) for the Hilbert space of square integrable functions defined on the n-sphere with n=2,3,5. This BT is regarded as the quantization of a canonical transformation which relates two different ways to regularize the Kepler problem in dimensions n=2,3,5. We will also describe coherent states for the hydrogen atom problem determined by the BT.