Regularization of atomic Schrödinger operators with magnetic field
type: Item
instance of: scholarly article
title: Regularization of atomic Schrödinger operators with magnetic field
zbMATH Open document ID: 0826.35103
DOI: 10.1007/BF02571913
author: Bernard Helffer
author: Heinz Siedentop
published in: Mathematische Zeitschrift
publication date: 1995-07-26T00:00:00Z
full work available at URL: https://eudml.org/doc/174738
review text: We show that an extended Kustaanheimo-Stiefel transform, that does not only act on the space variables but also on the components of the magnetic vector potential, can be also used to regularize Schrödinger operators with magnetic fields. We use the result to show that the number of bound states below a given negative energy \(E\) agrees -- under the usual assumptions on the absence of periodic orbits -- up to second order in the quasi-classical limit with the zero field case.
reviewed by: Bernard Helffer
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q20
zbMATH DE Number: 778954
zbMATH Keywords: Kustaanheimo-Stiefel transform
zbMATH Keywords: number of bound states below a given negative energy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 778954