Research Group:
Speaker:
B. Buffoni
Institution:
Ecole Polytechnique Federale de Luasanne
Schedule:
Tuesday, October 5, 2004 - 12:00 to 13:00
Location:
room E
Abstract:
We consider a non relativistic charged particle in a 1D potential well. This quantum system is subject to a control, which is a uniform electric field. It is represented by a complex probability amplitude solution of a Schrodinger equation. We prove the local controllability of this non linear system, around the ground state. Our proof uses the return method, a Nash-Moser implicit function theorem and moment theory.