12-151 S. Richard, R. Tiedra de Aldecoa

Explicit formulas for the Schroedinger wave operators in R^2 (291K, PDF) Dec 10, 12

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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.

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