Exact Results in Quantum Theory & Gravity

We consider a Schrödinger equation with a general interaction term, which is linear or nonlinear, time-dependent and including charge transfer potentials. Without the assumption of radial symmetry, we prove the global solutions are asymptotically given by a free wave and a weakly localized part. The proof is based on constructing in a new way the Free Channel Wave Operator, and further tools from the recent work of Baoping Liu and Avy Soffer. Our work generalizes the results of the first part of their work to arbitrary dimension, and non-radial data. This is joint work with Avy Soffer.

Link (zoom):
https://us02web.zoom.us/j/84625427874?pwd=TzRHYnhmcTcvRk9kNWZPNTZzOUdDUT09
Meeting ID: 846 2542 7874
Passcode: 076159