Some Remarks on Spectral Averaging and the Local Density of States for Random Schrödinger Operators on $$L^2 (\mathbb {R}^d)$$

DOI10.1007/978-3-030-68490-7_6zbMath1479.35266arXiv2010.02679OpenAlexW3092612331MaRDI QIDQ5011572

Jean-Michel Combes, Peter D. Hislop

Publication date: 27 August 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.02679

zbMATH Keywords

random Schrödinger operatorsdensity of statesspectral averaging

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Poisson statistics for eigenvalues of continuum random Schrödinger operators
• Regularity of the density of states of random Schrödinger operators
• Moment analysis for localization in random Schrödinger operators
• An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
• An Invitation to Random Schroedinger operators
• Spectral averaging and the Krein spectral shift

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