Threshold effects for the generalized Friedrichs model with the perturbation of rank one
type: Item
instance of: scholarly article
title: Threshold effects for the generalized Friedrichs model with the perturbation of rank one
zbMATH Open document ID: 1247.81120
DOI: 10.1155/2012/180953
author: Saidakhmat Lakaev
author: Arsmah Ibrahim
author: Shaxzod Kurbanov
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1412.0598
review text: Summary: A family \(H_\mu(p), \mu > 0, p \in \mathbb T^2\) of the Friedrichs models with the perturbation of rank one, associated to a system of two particles, moving on the two-dimensional lattice \(\mathbb Z^2\) is considered. The existence or absence of the unique eigenvalue of the operator \(H_\mu(p)\) lying below threshold depending on the values of \(\mu > 0\) and \(p \in U_\delta(0) \subset \mathbb T^2\) is proved. The analyticity of corresponding eigenfunction is shown.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81Q35
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 6078676
Wikidata QID: Q58695040
MaRDI profile type: Publication
OpenAlex ID: W2154709090
arXiv ID: 1412.0598
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description: scientific article; zbMATH DE number 6078676