Seminar

New representation formulas for the wave operators in potential scattering on R^3

Hamiltonians in Magnetic Fields

06 December 14:00 - 15:00

Serge Richard - Université Claude Bernard Lyon 1

During this talk, we will derive new and explicit formulas for the wave operators of Schroedinger operators in R^3. These formulas put into light the very special role played by the generator of dilations and validate the topological approach of Levinson's theorem recently introduced. We will also emphasize that these results hold for general (not spherically symmetric) potentials decaying fast enough at infinity, without any assumption on the absence of eigenvalue or resonance at 0-energy.
Organizers
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen