Scattering at zero energy for attractive homogeneous potentials

Jan Derezinski; Erik Skibsted

doi:10.1007/s00023-009-0408-x

Scattering at zero energy for attractive homogeneous potentials

Authors:

Derezinski, Jan ;
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Warsaw University
Skibsted, Erik
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Department of Mathematics, Science and Technology, Aarhus University

DOI:

10.1007/s00023-009-0408-x

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 .

Type:

Journal article

Language:

English

Published in:

Annales Henri Poincare, 2009, Vol 10, Issue 3, p. 549-571

Main Research Area:

Science/technology

Publication Status:

Published

Review type:

Peer Review

Submission year:

2009

Scientific Level:

Scientific

ID:

1244905

Scattering at zero energy for attractive homogeneous potentials

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