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

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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 $\frac{\mu\pi}{2-\mu}$ .

Originalsprog	Engelsk
Tidsskrift	Annales Henri Poincare
Vol/bind	10
Nummer	3
Sider (fra-til)	549-571
Antal sider	23
ISSN	1424-0637
DOI	https://doi.org/10.1007/s00023-009-0408-x
Status	Udgivet - 2009

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10.1007/s00023-009-0408-x

Citationsformater

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title = "Scattering at zero energy for attractive homogeneous potentials",

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 .",

author = "Jan Derezinski and Erik Skibsted",

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language = "English",

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journal = "Annales Henri Poincare",

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T1 - Scattering at zero energy for attractive homogeneous potentials

AU - Derezinski, Jan

AU - Skibsted, Erik

PY - 2009

Y1 - 2009

N2 - 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 .

AB - 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 .

U2 - 10.1007/s00023-009-0408-x

DO - 10.1007/s00023-009-0408-x

M3 - Journal article

SN - 1424-0637

VL - 10

SP - 549

EP - 571

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 3

ER -

Scattering at zero energy for attractive homogeneous potentials

Abstract

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