Aharonov-Bohm effect in resonances of magnetic Schrödinger operators with potentials with supports at large separation
type: Item
instance of: scholarly article
title: Aharonov-Bohm effect in resonances of magnetic Schrödinger operators with potentials with supports at large separation
zbMATH Open document ID: 1231.81025
author: Ivana Alexandrova
author: Hideo Tamura
published in: Annales Henri Poincaré
publication date: 2011-06-01T00:00:00Z
review text: This is a detailed paper devoted to an investigation of the problem mentioned in the title. The authors study the Aharonov-Bohm effect through scattering by electrostatic and magnetic fields with compact support in two dimensions. The scattering system consists of two scalar potentials and one magnetic (vector) potential, where the center of the latter support is located on the line segment joining the centers of the former potentials. A sharp lower bound on the resonance widths is found as the distances between the three supports go to infinity.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81Q70
zbMATH DE Number: 5902960
zbMATH Keywords: Vector potential
zbMATH Keywords: electric field
zbMATH Keywords: magnetic field
zbMATH Keywords: Aharonov-Bohm effect
zbMATH Keywords: resonance
zbMATH Keywords: Schrödinger operator
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: s00023-011-0088-1
OpenAlex ID: W2081837091
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DOI: 10.1007/S00023-011-0088-1
description: scientific article; zbMATH DE number 5902960