Eigenvalue bounds for Schrödinger operators with complex potentials
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex potentials can be bounded in terms of L_p-norms of the potential. This extends an inequality of Abramov, Aslanyan, and Davies to higher dimensions and proves a conjecture by Laptev and Safronov. Our ma...
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Format: | Text |
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arXiv
2010
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Online Access: | https://dx.doi.org/10.48550/arxiv.1005.2785 https://arxiv.org/abs/1005.2785 |