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

Daniel Bulger; Alexander Pushnitski

doi:10.4171/JST/54

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

Daniel Bulger, Alexander Pushnitski

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The scattering matrix of the Schrödinger 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.

Original language	English
Pages (from-to)	517-534
Number of pages	18
Journal	Journal of Spectral Theory
Volume	3
Issue number	4
DOIs	https://doi.org/10.4171/JST/54
Publication status	E-pub ahead of print - 23 Oct 2013

Keywords

Magnetic field
Scattering matrix
Scattering phase
Schrödinger operator
Spectral density

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10.4171/JST/54

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title = "The spectral density of the scattering matrix of the magnetic Schr{\"o}dinger operator for high energies",

abstract = "The scattering matrix of the Schr{\"o}dinger 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.",

keywords = "Magnetic field, Scattering matrix, Scattering phase, Schr{\"o}dinger operator, Spectral density",

author = "Daniel Bulger and Alexander Pushnitski",

year = "2013",

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doi = "10.4171/JST/54",

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T1 - The spectral density of the scattering matrix of the magnetic Schrödinger operator for high energies

AU - Bulger, Daniel

AU - Pushnitski, Alexander

PY - 2013/10/23

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N2 - The scattering matrix of the Schrödinger 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.

AB - The scattering matrix of the Schrödinger 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.

KW - Magnetic field

KW - Scattering matrix

KW - Scattering phase

KW - Schrödinger operator

KW - Spectral density

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DO - 10.4171/JST/54

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EP - 534

JO - Journal of Spectral Theory

JF - Journal of Spectral Theory

IS - 4

ER -

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

Abstract

Keywords

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