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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |