Asymptotic behaviors of the eigenvalues of Schrödinger operator with critical potential
type: Item
instance of: scholarly article
title: Asymptotic behaviors of the eigenvalues of Schrödinger operator with critical potential
zbMATH Open document ID: 1470.35149
DOI: 10.1155/2014/170397
author: Xiaoyao Jia
author: Yan Zhao
author: Haoyu Zhai
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study the asymptotic behaviors of the discrete eigenvalue of Schrödinger operator \(P(\lambda) = P_0 + \lambda V\) with \(P_0 = - \Delta + q \left(\theta\right) / r^2 \). We obtain the leading terms of discrete eigenvalues of \(P(\lambda)\) when the eigenvalues tend to 0. In particular, we obtain the asymptotic behaviors of eigenvalues when \((P_0 - \alpha)^{- 1}\) has singularity at \(\alpha = 0\).
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 7021856
Wikidata QID: Q59035703
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/170397
OpenAlex ID: W1998717655
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description: scientific article; zbMATH DE number 7021856