The spectral density of the scattering matrix for high energies

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Abstract

We determine the density of eigenvalues of the scattering matrix of the Schrodinger operator with a short range potential in the high energy asymptotic regime. We give an explicit formula for this density in terms of the X-ray transform of the potential.

Original languageEnglish
Pages (from-to)693-704
Number of pages12
JournalCommunications in Mathematical Physics
Volume316
Issue number3
DOIs
Publication statusPublished - Dec 2012

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