Scattering at Zero Energy for Attractive Homogeneous Potentials |
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Authors: | Jan Dereziński Erik Skibsted |
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Institution: | (1) Deptartment of Math. Methods in Physics, Warsaw University, Hoża 74, PL-00-682 Warszawa, Poland;(2) Institut for Matematiske Fag, Aarhus Universitet, Ny Munkegade, DK-8000 Aarhus C, Denmark |
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Abstract: | We compute up to a compact term the zero-energy scattering matrix for a class of potentials asymptotically behaving as −γ|x|−μ with 0 < μ < 2 and γ > 0. It turns out to be the propagator for the wave equation on the sphere at time .
The research of J.D. is supported in part by the grant N N201 270135. Part of the research was done during a visit of both
authors to the Erwin Schr?dinger Institute.
Submitted: November 28, 2008. Accepted: March 2, 2009. |
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Keywords: | |
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