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arXiv · 1503.06337

Estimates for eigenvalues of Schrödinger operators with complex-valued potentials

Alexandra Enblom
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Abstract

New estimates for eigenvalues of non-self-adjoint multi-dimensional Schrödinger operators are obtained in terms of $L_{p}$-norms of the potentials. The results extend and improve those obtained previously. In particular, diverse versions of an assertion conjectured by Laptev and Safronov are discussed. Schrödinger operators with slowly decaying potentials are also considered.

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Alexandra Enblom. 2015-03-21. Estimates for eigenvalues of Schrödinger operators with complex-valued potentials. https://doi.org/10.1007/s11005-015-0810-x

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