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Structure of the short range amplitude for general scattering relations

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Abstract

We consider scattering by short range perturbations of the semi-classical Laplacian. We prove that when a polynomial bound on the resolvent holds the scattering amplitude is a semi-classical Fourier integral operator associated to the scattering relation near a non-trapped ray. Compared to previous work, we allow the scattering relation to have more general structure.

Original languageEnglish
Pages (from-to)13-30
Number of pages18
JournalAsymptotic Analysis
Volume50
Issue number1-2
StatePublished - 2006

Keywords

  • Scattering amplitude
  • Scattering relation
  • Semi-classical Fourier integral operators
  • Short range perturbations

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