Explicit formulas for the Schroedinger wave operators in R^2

Abstract

In this note, we derive explicit formulas for the Schroedinger wave operators in R^2 under the assumption that 0-energy is neither an eigenvalue nor a resonance. These formulas justify the use of a recently introduced topological approach of scattering theory to obtain index theorems.

6 pages

References in corpus (2)

• Levinson's theorem for Schroedinger operators with point interaction: a topological approach
• On the structure of the wave operators in one dimensional potential scattering