Existence and regularity properties of the integrated density of states of random Schrödinger operators / / Ivan Veselić

• Autore: Veselić Ivan <1973->
• Pubblicazione: Berlin ; ; Heidelberg : , : Springer, , [2008]; ©2008
• Edizione: 1st ed. 2008.
• Descrizione fisica: 1 online resource (X, 147 p.)
• Disciplina: 515.724
• Soggetto topico: Schrödinger operator; Spectral energy distribution; Quantum theory
• Note generali: "1617-9692 (electronic ed.)."
• Nota di bibliografia: Includes bibliographical references (pages [113]-138) and index.
• Nota di contenuto: Random Operators -- Existence of the Integrated Density of States -- Wegner Estimate -- Wegner’s Original Idea. Rigorous Implementation -- Lipschitz Continuity of the IDS.
• Sommario/riassunto: 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.
• Titolo autorizzato: Existence and regularity properties of the integrated density of states of random Schrödinger operators
• ISBN: 3-540-72691-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910483855903321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1917.