There will be a brown bag lunch in between the seminars
Please bring your lunch
Cookies and coffee will be available
Speaker-
S. Fishman, Technion
Time/Place-
Thursday 9/23/04, 1:30pm in Hill 705
Title-
Quantum Chaos and Atom Optics: From Experiments to Number Theory
Abstract-
Resonances are among the most typical manifestations of quantum
mechanical behavior and are very sensitive to values of parameters
(for example in standard atomic spectroscopy). Recently resonances,
that are stable with respect to variation of parameters, were
discovered experimentally for the dynamics of laser cooled Cesium
atoms when driven in the presence of gravity. A theoretical
explanation of this surprising observation will be presented. Further
theoretical predictions that were verified experimentally will be
presented as well. In particular it is found that the experimental
results depend the number theoretical properties of the values of
parameters. The theory makes use of invariance properties of the
system, that are similar to the ones of solids, as well as of the
theory of dynamical systems.