Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip
This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrödinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted L1 norms and LlnL norms of the potential. Estimates involving the norms of the potential suppor...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/7172356 |
| Summary: | This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrödinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted L1 norms and LlnL norms of the potential. Estimates involving the norms of the potential supported by a curve embedded in a strip are also presented. |
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| ISSN: | 2314-4629 2314-4785 |