Localization in the incommensurate systems: a plane wave study via effective potentials

DOI10.4208/CICP.OA-2023-0203zbMATH Open1547.3522MaRDI QIDQ6584814

Author name not available (Why is that?), Yuzhi Zhou, Aihui Zhou

Publication date: 8 August 2024

Published in: Communications in Computational Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorspectrumeffective potentiallandscape function

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Numerical methods for quasicrystals
• The landscape law for the integrated density of states
• The exponential decay of eigenfunctions for tight-binding Hamiltonians via landscape and dual landscape functions
• The landscape law for tight binding Hamiltonians
• Plane wave methods for quantum eigenvalue problems of incommensurate systems
• Detecting localized eigenstates of linear operators
• Localization of quantum states and landscape functions
• Computing Spectra without Solving Eigenvalue Problems
• Localization of eigenfunctions via an effective potential
• Localized Computation of Eigenstates of Random Schrödinger Operators
• Approximating the ground state eigenvalue via the effective potential

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