Jonas Lampert

OS Mathematical Physics October 21 16:00

The trajectories of the Schrödinger equation

I will discuss some properties of the set of all trajectories that can be obtained from a fixed initial datum by the Schrödinger evolution by varying the potential in the equation. This is related to the control problem, i.e. driving the system to a target state, which turns out to be impossible for "typical" target states using bounded potentials.