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024 7 $a10.1007/978-3-540-72691-3
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035   $a(DE-He213)978-3-540-72691-3
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100   $a20220514d2008      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aExistence and regularity properties of the integrated density of states of random Schro?dinger operators /$fIvan Veselic?
205   $a1st ed. 2008.
210  1$aBerlin ;$aHeidelberg :$cSpringer,$d[2008]
210  4$d©2008
215   $a1 online resource (X, 147 p.) 
225 1 $aLecture notes in mathematics ;$v1917
300   $a"1617-9692 (electronic ed.)."
311   $a3-540-72689-6 
320   $aIncludes bibliographical references (pages [113]-138) and index.
327   $aRandom Operators -- Existence of the Integrated Density of States -- Wegner Estimate -- Wegner?s Original Idea. Rigorous Implementation -- Lipschitz Continuity of the IDS.
330   $aThe theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines like functional analysis, selfadjoint operators, PDE, stochastic processes and multiscale methods. The present text describes in detail a quantity encoding spectral features of random operators: the integrated density of states or spectral distribution function. Various approaches to the construction of the integrated density of states and the proof of its regularity properties are presented. The setting is general enough to apply to random operators on Riemannian manifolds with a discrete group action. References to and a discussion of other properties of the IDS are included, as are a variety of models beyond those treated in detail here.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1917.
606   $aSchro?dinger operator
606   $aSpectral energy distribution
606   $aQuantum theory
615  0$aSchro?dinger operator.
615  0$aSpectral energy distribution.
615  0$aQuantum theory.
676   $a515.724
700   $aVeselic?$b Ivan$f1973-$0312343
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466504203316
996   $aExistence and regularity properties of the integrated density of states of random Schrödinger operators$9230585
997   $aUNISA