arXiv subjects

Daniel Bulger

Publications and source records attributed to Daniel Bulger.

2 recordsLinked to original sources

arXiv2012

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

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.

math.SP↗

arXiv2011

The spectral density of the scattering matrix for high energies

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.

math.SP↗