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arXiv · 1210.0143

New expressions for the wave operators of Schroedinger operators in R^3

S. Richard·R. Tiedra de Aldecoa
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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.

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S. Richard, R. Tiedra de Aldecoa. 2012-09-29. New expressions for the wave operators of Schroedinger operators in R^3. https://doi.org/10.1007/s11005-013-0636-3

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