The landscape law for the integrated density of states

DOI10.1016/j.aim.2021.107946zbMath1479.35267arXiv1909.10558OpenAlexW3188770830MaRDI QIDQ822720

Guy David, Svitlana Mayboroda, Marcel Filoche

Publication date: 23 September 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10558

zbMATH Keywords

Schrödinger operatorintegrated density of statesAnderson-type potentialslocalization landscape

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Magnetic Schrödinger operators and landscape functions, Landscape approximation of the ground state eigenvalue for graphs and random hopping models, Principal eigenvalue and landscape function of the Anderson model on a large box, On an effective equation of the reduced Hartree-Fock theory, Counting eigenvalues of Schrödinger operators using the landscape function, Fast localization of eigenfunctions via smoothed potentials, The landscape law for tight binding Hamiltonians

Cites Work

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• Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields
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