Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential

Xiaoyao Jia, Yan Zhao and Haoyu Zhai

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the asymptotic behaviors of the discrete eigenvalue of Schrödinger operator P(λ) = P0 + λV with P0 = −Δ + q(θ)/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 at α = 0.

Date: 2014
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https://doi.org/10.1155/2014/170397

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:170397

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