The Density of States and the Spectral Shift Density of Random Schroedinger Operators

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dc.creatorKostrykin, Vadim
dc.creatorSchrader, Robert
dc.date2000-11-18
dc.date.accessioned2026-07-07T04:28:08Z
dc.date.available2026-07-07T04:28:08Z
dc.descriptionIn this article we continue our analysis of Schroedinger operators with a random potential using scattering theory. In particular the theory of Krein's spectral shift function leads to an alternative construction of the density of states in arbitrary dimensions. For arbitrary dimension we show existence of the spectral shift density, which is defined as the bulk limit of the spectral shift function per unit interaction volume. This density equals the difference of the density of states for the free and the interaction theory. This extends the results previously obtained by the authors in one dimension. Also we consider the case where the interaction is concentrated near a hyperplane.
dc.description1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0011033
dc.identifierhttp://arxiv.org/abs/math-ph/0011033
dc.identifierReviews in Mathematical Physics 12 (2000) 807 - 847
dc.identifierdoi:10.1142/S0129055X00000320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56670
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35J10; 35Q40; 47B80
dc.titleThe Density of States and the Spectral Shift Density of Random Schroedinger Operators
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