Schrödinger operators with non-symmetric zero-range potentials
type: Item
instance of: scholarly article
zbMATH Open document ID: 1313.81011
author: A. I. Grod
author: Sergii Kuzhel
publication date: 2014-08-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1309.5482
Mathematics Subject Classification ID: 81Q15
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 81Q12
zbMATH DE Number: 6333570
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: non-symmetric zero-range potentials
MaRDI profile type: Publication
arXiv ID: 1309.5482
arXiv classification: math-ph
arXiv classification: math.MP
arXiv classification: math.SP
arXiv classification: quant-ph
title: Schrödinger operators with non-symmetric zero-range potentials
published in: Methods of Functional Analysis and Topology
review text: The authors study nonselfadjoint Schrödinger operators corresponding to non-symmetric zero-range potentials. The specific problems they solve include the description of nonreal eigenvalues and spectral singularities, the possibility of interpretations of the above operators as selfadjoint operators on a Krein space, similarity to selfadjoint operators on Hilbert spaces. These problems are motivated by \(\mathcal P\mathcal T\)-symmetric quantum mechanics; see also \textit{S. Albeverio} and \textit{S. Kuzhel} [J. Phys. A, Math. Gen. 38, No. 22, 4975--4988 (2005; Zbl 1070.81048)].
reviewed by: Anatoly N. Kochubei
description: scientific article; zbMATH DE number 6333570