Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field

Ivana Alexandrova

doi:10.1007/s12220-017-9932-y

Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field

Ivana Alexandrova

Mathematics and Statistics

University at Albany

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

2 Scopus citations

Abstract

We analyze the microlocal structure of the semi-classical scattering amplitude for Schrödinger operators with a strong magnetic and a strong electric field at non-trapping energies. For this purpose, we develop a framework and establish some of the properties of semi-classical-Fourier-integral-operator-valued pseudodifferential operators and prove that the scattering amplitude is given by such an operator.

Original language	English
Pages (from-to)	2725-2767
Number of pages	43
Journal	Journal of Geometric Analysis
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s12220-017-9932-y
State	Published - Jul 1 2018

Keywords

Scattering theory
Semi-classical Fourier integral operators
Strong magnetic field

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10.1007/s12220-017-9932-y

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title = "Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field",

abstract = "We analyze the microlocal structure of the semi-classical scattering amplitude for Schr{\"o}dinger operators with a strong magnetic and a strong electric field at non-trapping energies. For this purpose, we develop a framework and establish some of the properties of semi-classical-Fourier-integral-operator-valued pseudodifferential operators and prove that the scattering amplitude is given by such an operator.",

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N2 - We analyze the microlocal structure of the semi-classical scattering amplitude for Schrödinger operators with a strong magnetic and a strong electric field at non-trapping energies. For this purpose, we develop a framework and establish some of the properties of semi-classical-Fourier-integral-operator-valued pseudodifferential operators and prove that the scattering amplitude is given by such an operator.

AB - We analyze the microlocal structure of the semi-classical scattering amplitude for Schrödinger operators with a strong magnetic and a strong electric field at non-trapping energies. For this purpose, we develop a framework and establish some of the properties of semi-classical-Fourier-integral-operator-valued pseudodifferential operators and prove that the scattering amplitude is given by such an operator.

KW - Scattering theory

KW - Semi-classical Fourier integral operators

KW - Strong magnetic field

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Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field

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Keywords

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