Spectral asymptotics for Schrödinger operators with periodic point interactions
type: Item
instance of: scholarly article
title: Spectral asymptotics for Schrödinger operators with periodic point interactions
zbMATH Open document ID: 1006.34081
author: R. Smith
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-04T00:00:00Z
review text: Spectral asymptotics are considered for Schrödinger operators with periodic point interactions generated in \(L_2(\mathbb{R})\) by the expression \[ H=-{d^2\over dx^2}+\sum\limits_{n\in \mathbb{Z}}\alpha_n \delta(x-n), \] where \(\delta\) is the Dirac delta-function and \(\alpha_n\) are real constants. It is shown that the first terms in the asymptotics determine the class of unitary equivalent operators uniquely.
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1763698
zbMATH Keywords: step-wise density function
zbMATH Keywords: point interactions
zbMATH Keywords: spectral asymptotics
zbMATH Keywords: selfadjoint extensions
reviewed by: V. Pivovarchik
MaRDI profile type: Publication
full work available at URL: jmaa.2001.7716
OpenAlex ID: W2047533168
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DOI: 10.1006/JMAA.2001.7716
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description: scientific article; zbMATH DE number 1763698