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Poisson statistics for eigenvalues of continuum random schr\"odinger operators

Klein, A (UC, Irvine)
Tuesday 19 August 2008, 09:00-10:00

Seminar Room 1, Newton Institute


We prove Poisson statistics for eigenvalues of random Schrödinger operators in the continuum. More specifically, we prove a Minami estimate for continuum Anderson Hamiltonians in the continuum and derive Poisson statistics for the eigenvalues in the localization region at the bottom of the spectrum. We also prove simplicity of the eigenvalues in that region. (Joint work with J.-M. Combes and F.Germinet)




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