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Scattering at Zero Energy for Attractive Homogeneous Potentials

Authors :
Jan Dereziński
Erik Skibsted
Source :
Derezinski, J & Skibsted, E 2009, ' Scattering at zero energy for attractive homogeneous potentials ', Annales Henri Poincare, vol. 10, no. 3, pp. 549-571 . https://doi.org/10.1007/s00023-009-0408-x
Publication Year :
2009
Publisher :
Springer Science and Business Media LLC, 2009.

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 0. It turns out to be the propagator for the wave equation on the sphere at time .

Subjects

Subjects :
Nuclear and High Energy Physics
Matrix (mathematics)
Scattering
Zero (complex analysis)
Propagator
Zero-point energy
Statistical and Nonlinear Physics
Wave equation
Potential energy
Mathematical Physics
Fourier integral operator
Mathematics
Mathematical physics

Details

ISSN :
14240661 and 14240637
Volume :
10
Database :
OpenAIRE
Journal :
Annales Henri Poincaré
Accession number :
edsair.doi.dedup.....b4c650a14542ea7ecda85edbbb1b9ac3

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