Oscillation Theory for the Density of States of High Dimensional Random Operators
DOI10.1093/imrn/rnx246zbMath1459.81039arXiv1706.07498OpenAlexW2964287228MaRDI QIDQ5855170
Julian Großmann, Hermann Schulz-Baldes, Carlos Villegas-Blas
Publication date: 15 March 2021
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07498
Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of von Neumann algebras (46L10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Exotic index theories on manifolds (58J22) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Statistical thermodynamics (82B30) Spectral flows (58J30) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
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Cites Work
- A Glivenko-Cantelli theorem for almost additive functions on lattices
- Topological invariants of edge states for periodic two-dimensional models
- Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems
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