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arXiv · 1110.3710

The spectral density of the scattering matrix for high energies

Daniel Bulger·Alexander Pushnitski
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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.

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Daniel Bulger, Alexander Pushnitski. 2011-10-17. The spectral density of the scattering matrix for high energies. https://doi.org/10.1007/s00220-012-1551-7

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