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arXiv · 1208.4230

The spectral density of the scattering matrix of the magnetic Schrodinger operator for high energies

Daniel Bulger·Alexander Pushnitski
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Abstract

The scattering matrix of the Schrodinger operator with smooth short-range electric and magnetic potentials is considered. The asymptotic density of the eigenvalues of this scattering matrix in the high energy regime is determined. An explicit formula for this density is given. This formula involves only the magnetic vector-potential.

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Daniel Bulger, Alexander Pushnitski. 2012-08-21. The spectral density of the scattering matrix of the magnetic Schrodinger operator for high energies. https://arxiv.org/abs/1208.4230

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