This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a non-specialized audience the basic tools needed to understand and appreciate new trends of research on Schrodinger operator theory. Topics discussed include various aspects of the spectral theory of differential operators, the theory of self-adjoint operators, finite rank perturbations, spectral properties of random Schrodinger operators, and scattering theory for Schrodinger operators. The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrodinger operators.
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978-0-8218-3297-4 (9780821832974)
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Schweitzer Klassifikation
Topics from spectral theory of differential operators by A. M. Hinz Spectral theory for self-adjoint extensions by J. Brasche Integrated density of states and Wegner estimates for random Schrodinger operators by I. Veselic Singular and supersingular perturbations: Hilbert space methods by P. Kurasov Scattering and spectral properties of two surface models by F. Bentosela.