Scattering for Schrödinger operators in a class of domains with non-compact boundaries |
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Authors: | Peter Constantin |
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Institution: | Institute of Mathematics, The Hebrew University, Jerusalem, Israel |
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Abstract: | Schrödinger operators in a class of domains with asymptotic cones are considered. A generalized Fourier transform representing the absolutely continuous part of the Schrödinger operator as multiplication by in the asymptotic cone is constructed. Wave operators relating the free Laplacian to Schrödinger operators are computed using the generalized Fourier transform. The wave operators relating Schrödinger operators acting in domains with the same asymptotic cone are computed and shown to be complete. |
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