Irreducibility of the Bloch variety for finite-range Schrödinger operators

DOI10.1016/j.jfa.2022.109670OpenAlexW3180988514MaRDI QIDQ2170661

Wencai Liu, Jake Fillman, Rodrigo Matos

Publication date: 6 September 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06447

zbMATH Keywords

Bloch varietyirreducibilityperiodic operator

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Periodic solutions of difference equations (39A23) Bloch spaces (30H30) Other wave functions (33E15)

Related Items (9)

Floquet isospectrality for periodic graph operators ⋮ Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ Quantum ergodicity for periodic graphs ⋮ Flat bands of periodic graphs ⋮ Stable defect states in the continuous spectrum of bilayer graphene with magnetic field ⋮ 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 ⋮ Fermi isospectrality of discrete periodic Schrödinger operators with separable potentials on \(\mathbb{Z}^2\)

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