Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

Ivan Veselic

ISBN 10: 3540726896 / ISBN 13: 9783540726890

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2007, 2007

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Neuware -This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 160 pp. Englisch. Codice articolo 9783540726890

Dati bibliografici

Titolo: Existence and Regularity Properties of the ...

Casa editrice: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2007

Data di pubblicazione: 2007

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.

Dalla quarta di copertina:

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 are a variety of models beyond those treated in detail here.