The spectral density of the scattering matrix for high energies

Details The spectral density of the scattering matrix for high energies The spectral density of the scattering matrix for high energies

2011-10-17

arxiv.org/abs/1110.3710v1

Mathematics

Spectral Theory

11 pages, Latex 2e

Scientific paper

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.

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