Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential

We study the asymptotic behaviors of the discrete eigenvalue of Schrödinger operator P(λ)=P0+λV with P0=-Δ+qθ/r2. We obtain the leading terms of discrete eigenvalues of P(λ) when the eigenvalues tend to 0. In particular, we obtain the asymptotic behaviors of eigenvalues when (P0−α)−1 has singularity...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Xiaoyao Jia, Yan Zhao, Haoyu Zhai
Fformat: Erthygl
Iaith:English
Cyhoeddwyd: Hindawi Limited 2014-01-01
Cyfres:Abstract and Applied Analysis
Mynediad Ar-lein:http://dx.doi.org/10.1155/2014/170397