paper

The spectral density of the scattering matrix for high energies

arXiv:1110.3710 · doi:10.1007/s00220-012-1551-7

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.

11 pages, Latex 2e

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