Perturbatively unstable eigenvalues of a periodic Schrödinger operator
type: Item
instance of: scholarly article
title: Perturbatively unstable eigenvalues of a periodic Schrödinger operator
zbMATH Open document ID: 0763.35024
DOI: 10.1007/BF02566665
author: Joel Feldman
author: E. Trubowitz
author: Horst Knörrer
published in: Commentarii Mathematici Helvetici
publication date: 1992-09-27T00:00:00Z
review text: Let \(\Gamma\) be a lattice of maximal rank in \(\mathbb{R}^ d\), \(d\leq3\). For \(q\in L^ 2(\mathbb{R}^ d/\Gamma)\) the spectrum of \(-\Delta+2ik\nabla-k^ 2+q\) acting on \(L^ 2(\mathbb{R}^ d/\Gamma)\) is called the Floquet spectrum of \(q\) with crystal momentum \(k\). The authors investigate stability of Floquet eigenvalues of \(q\) and approximation of eigenfunctions by quasimodes.
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 57096
zbMATH Keywords: Floquet spectrum
zbMATH Keywords: crystal momentum
zbMATH Keywords: stability of Floquet eigenvalues
zbMATH Keywords: approximation of eigenfunctions by quasimodes
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02566665
OpenAlex ID: W2017573532
description: scientific article; zbMATH DE number 57096