08-226 Ari Laptev and Oleg Safronov

Eigenvalue estimates for Schr\"odinger operators with complex potentials (337K, pdf) Dec 5, 08

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Abstract. We discuss the distribution of eigenvalues of the Schr\"odinger operator with a complex potential $V$ in the complex plane. In particular, we obtain an estimate of the sum of powers of imaginary parts of eigenvalues by the $L^p$-norm of ${\Im V}$.

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