Bloch varieties and quantum ergodicity for periodic graph operators

DOI10.1007/S11854-024-0339-YMaRDI QIDQ6622478

Publication date: 22 October 2024

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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A directional compactification of the complex Bloch variety
Discrete Bethe-Sommerfeld conjecture
Reducible Fermi surface for multi-layer quantum graphs including stacked graphene
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Irreducibility of the Bloch variety for finite-range Schrödinger operators
Reducible Fermi surfaces for non-symmetric bilayer quantum-graph operators
Irreducibility of the Fermi surface for planar periodic graph operators
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An overview of periodic elliptic operators
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Generic properties of dispersion relations for discrete periodic operators
Floquet isospectrality for periodic graph operators
Quantum ergodicity for periodic graphs
Flat bands of periodic graphs
On the Density of Eigenvalues on Periodic Graphs
Fermi isospectrality for discrete periodic Schrödinger operators
Algebraic properties of the Fermi variety for periodic graph operators
On spectral bands of discrete periodic operators
Critical points of discrete periodic operators

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