Veselić, Ivan, 1973-

Existence and regularity properties of the integrated density of states of random Schrödinger operators / Ivan Veselić. - Berlin ; New York : Springer-Verlag, ©2008. - 1 online resource (x, 142 pages) - Lecture notes in mathematics, 1917 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1917. .

Includes bibliographical references (pages 113-138) and index.

Random operators -- Existence of the integrated density of states -- Wegner estimate -- Wegner's original idea. Rigorous implementation -- Lipschitz continuity of the IDS -- A. Properties of the spectral shift function.

The theory of random Schr??dinger 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.

9783540726913 3540726918 9783540726890 3540726896

10.1007/978-3-540-72691-3 doi

978-3-540-72689-0 Springer http://www.springerlink.com


Schrödinger operator.
Spectral energy distribution.
Quantum theory.
Schrödinger, Opérateur de.
Distribution spectrale de l'énergie.
Théorie quantique.
Spectral energy distribution.
Quantum theory.
Schrödinger, opérateur de.
Distribution spectrale de l'énergie.
Théorie quantique.
Schrödinger operator.
Quantum theory.
Schrödinger operator.
Spectral energy distribution.


Electronic books.

QA3 / .L28 no. 1917eb

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