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Eigenvalue Estimates for Schrödinger Operators with Complex Potentials

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Abstract

We discuss properties of eigenvalues of non-self-adjoint Schrödinger operators with complex-valued potential V. Among our results are estimates of the sum of powers of imaginary parts of eigenvalues by the L p-norm of \({{\Im{V}}}\).

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Authors and Affiliations

  1. Department of Mathematics, Imperial College London, Huxley Building, 180 Queen’s Gate, London, SW7 2AZ, UK

    Ari Laptev

  2. University of North Carolina at Charlotte, Mathematics and Statistics, 9201 University City Blvd., Charlotte, NC, 28223, USA

    Oleg Safronov

Authors
  1. Ari Laptev
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  2. Oleg Safronov
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Correspondence to Oleg Safronov.

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Communicated by B. Simon

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Laptev, A., Safronov, O. Eigenvalue Estimates for Schrödinger Operators with Complex Potentials. Commun. Math. Phys. 292, 29–54 (2009). https://doi.org/10.1007/s00220-009-0883-4

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  • DOI: https://doi.org/10.1007/s00220-009-0883-4

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