- 12-105 S. Richard, R. Tiedra de Aldecoa
- New expressions for the wave operators of Schroedinger operators in R^3
Sep 29, 12
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Abstract. We prove 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 introduced in a previous publication. Our 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.