12-105 S. Richard, R. Tiedra de Aldecoa

New expressions for the wave operators of Schroedinger operators in R^3 (322K, PDF) Sep 29, 12

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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.

Files: 12-105.src( 12-105.comments , 12-105.keywords , 3D_formulas.pdf.mm )