On some mathematical model of quantum friction

Job Candidate Talk
Thursday, December 11, 2014 - 11:00
1 hour (actually 50 minutes)
Skiles 006
California Institute of Technology
It is known that certain medium, for example electromagnetic field and Bose Einstein condensate, has positive speed of sound. It is observed that if the medium is in its equilibrium state, then an invading subsonic particle will slow down due to friction; and the speed of a supersonic particle will slow down to the speed of sound and the medium will radiate. This is called Cherenkov radiation. It has been widely discussed in physical literature, and applied in experiments. In this talk I will present some rigorous mathematical results. Joint works with Juerg Froehlich, Israel Michael Sigal, Avy Soffer, Daniel Egli, Arick Shao.