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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/170397 |
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| _version_ | 1849691146508304384 |
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| author | Xiaoyao Jia Yan Zhao Haoyu Zhai |
| author_facet | Xiaoyao Jia Yan Zhao Haoyu Zhai |
| author_sort | Xiaoyao Jia |
| collection | DOAJ |
| description | 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 at α=0. |
| format | Article |
| id | doaj-art-e261e484a3bf4f84913d04b02fa283ce |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e261e484a3bf4f84913d04b02fa283ce2025-08-20T03:21:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/170397170397Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical PotentialXiaoyao Jia0Yan Zhao1Haoyu Zhai2Mathematics and Statistics School, Henan University of Science and Technology, No. 263 Kaiyuan Road, Luolong District, Luoyang, Henan 471023, ChinaCollege of Civil Engineering and Architecture, Zhejiang University, B505 Anzhong Building, 866 Yuhangtang Road, Hangzhou, Zhejiang 310058, ChinaCollege of Food and Bioengineering, Henan University of Science and Technology, No. 263 Kaiyuan Road, Luo-Long District, Luolong, Henan 471023, ChinaWe 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 at α=0.http://dx.doi.org/10.1155/2014/170397 |
| spellingShingle | Xiaoyao Jia Yan Zhao Haoyu Zhai Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential Abstract and Applied Analysis |
| title | Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential |
| title_full | Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential |
| title_fullStr | Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential |
| title_full_unstemmed | Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential |
| title_short | Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential |
| title_sort | asymptotic behaviors of the eigenvalues of schrodinger operator with critical potential |
| url | http://dx.doi.org/10.1155/2014/170397 |
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