On a Bargmann transform and coherent states for the n-sphere

Series: 
Analysis Seminar
Wednesday, November 4, 2009 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Instituto de Matematicas UNAM, Unidad. Cuernavaca
,  
Organizer: 
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.