On bounds of \(N(\lambda)\) for a magnetic Schrödinger operator
type: Item
instance of: scholarly article
title: On bounds of \(N(\lambda)\) for a magnetic Schrödinger operator
zbMATH Open document ID: 0948.35088
DOI: 10.1215/S0012-7094-98-09420-0
author: Zhongwei Shen
published in: Duke Mathematical Journal
publication date: 2000-03-27T00:00:00Z
review text: The author considers the Schrödinger operator \(H\) in \(\mathbb{R}^2\) with magnetic potential. Let \(N(\lambda)\) denote the dimension of the spectral projection of \(H\) on \([0,\lambda]\) for \(\lambda>0\). A two-side estimate of \(N(\lambda)\) is proven and a similar estimate for the bottom of the spectrum is provided.
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 1425152
zbMATH Keywords: discrete spectrum
zbMATH Keywords: magnetic Schrödinger operator
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1425152