Title: Quantum resonances and quantum chaos
Speaker: Professor Maciej Zworski
Speaker Info: University of California, Berkeley
Quantum resonances desribe metastable states which in addition to energy/rate of oscillations have decay rates. I will describe this concept using "real time" MATLAB computations stressing clear manifestations of the quantum/classical correspondence in the distribution of resonances.Date: Friday, October 27, 2006
This correspondence becomes more interesting in higher dimensions since the dynamics can then be chaotic. I will explain how dynamical objects such as dimension of trapped sets and topological pressure are related to the density of resonances and to bounds on quantum decay rates. I will concentrate on (colourful) pictures and intuitions rather than on the technical aspects of this (rather technical) subject.