Eigenvalue counting inequalities, with applications to Schrödinger operators

DOI10.4171/JST/97zbMath1335.15022arXiv1306.3459OpenAlexW2964236205WikidataQ57450112 ScholiaQ57450112MaRDI QIDQ2515797

Yanyan Li

Publication date: 6 August 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3459

zbMATH Keywords

random Schrödinger operatorAnderson modelsMinami estimateWegner estimaterandom block operatorseigenvalue counting

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Random operators and equations (aspects of stochastic analysis) (60H25) Hermitian, skew-Hermitian, and related matrices (15B57) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Level spacing for non-monotone Anderson models ⋮ Local eigenvalue statistics for higher-rank Anderson models after Dietlein–Elgart ⋮ Localization for random block operators related to the \(XY\) spin chain

Cites Work

• Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models
• Poisson statistics for eigenvalues of continuum random Schrödinger operators
• The weak localization for the alloy-type Anderson model on a cubic lattice
• A remark on the estimate of a determinant by Minami
• An approach to Wegner's estimate using subharmonicity
• Wegner estimates and Anderson localization for alloy-type potentials
• Localisation for non-monotone Schrödinger operators
• Generalized eigenvalue-counting estimates for the Anderson model
• Correlation estimates in the Anderson model
• An Invitation to Random Schroedinger operators
• Perturbation theory for the nonlinear Schrödinger equation with a random potential
• Matrix Analysis
• Localization for Random Block Operators

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