Analysis Seminar: On a Bargmann transform and coherent states for the n-sphere
Wed, 11/04/2009 - 2:00pm, Skiles 269
Dr Carlos Villegas Blas, Instituto de Matematicas UNAM, Unidad. Cuernavaca, email Organizer: Jean Bellissard
We will introduce a Bargmann transform from the space of square integrable functions on the n-sphere onto a suitable Hilbert space of holomorphic functions on a null quadric. On base of our Bargmann transform, we will introduce a set of coherent states and study their semiclassical properties. For the particular cases n=2,3,5, we will show the relation with two known regularizations of the Kepler problem: the Kustaanheimo-Stiefel and Moser regularizations.