J. Kellendonk, S. Richard
Published 2010-09-24Version 1
The paper is a presentation of recent investigations on potential scattering in R^3. We advocate a new formula for the wave operators and deduce the various outcomes that follow from this formula. A topological version of Levinson's theorem is proposed by interpreting it as an index theorem.
Levinson's theorem: an index theorem in scattering theory
New formulae for the wave operators for a rank one interaction
The $L^p$ boundedness of wave operators for Schrödinger operators with threshold singularities II. Even dimensional case
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