On non-real eigenvalues of Schrödinger operators in a weighted Hilbert space (Q1331255)
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scientific article; zbMATH DE number 621965
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On non-real eigenvalues of Schrödinger operators in a weighted Hilbert space |
scientific article; zbMATH DE number 621965 |
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On non-real eigenvalues of Schrödinger operators in a weighted Hilbert space (English)
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3 February 1997
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The authors prove a nonexistence result for the eigenvalue problem in a weighted function space for the operator \[ L= \sum_{j, k} \Biggl( {\partial\over \partial x_j}+ ib_j(x)\Biggr) a_{jk}(x) \Biggl({\partial\over \partial x_k}+ ib_k(x)\Biggr)+ V(x) \] in \(\mathbb{R}^n\). In addition, they also give examples where such eigenfunctions do exist.
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upper bounds for eigenvalues counterexamples
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