ISBN: 9783540726890 - existence and regularity properties of the integrated density of states of random schrödinger operators (lecture notes in mathematics) (lecture notes in mathematics, 1917, band 1917) (5 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines like functional analysis, selfadjoint operators, PDE, stochastic processes and multiscale methods.The present text describes in detail a quantity encoding spectral features of random operators: the integrated density of states or spectral distribution function. Various approaches to the construction of the integrated density of states and the proof of its regularity properties are presented.The setting is general enough to apply to random operators on Riemannian manifolds with a discrete group action. References to and a discussion of other properties of the IDS are included,as area variety of models beyond those treated in detail here.…

Taschenbuch. Zustand: Neu. Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators | Ivan Veselic | Taschenbuch | Lecture Notes in Mathematics | x | Englisch | 2007 | Springer | EAN 9783540726890 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…