A local test for global extrema in the dispersion relation of a periodic graph
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Publication:2084563
DOI10.2140/paa.2022.4.257zbMath1505.35312arXiv2004.12931OpenAlexW3019628555MaRDI QIDQ2084563
Graham Cox, Gregory Berkolaiko, Jeremy L. Marzuola, Yaiza Canzani
Publication date: 18 October 2022
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12931
PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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- Nodal count of graph eigenfunctions via magnetic perturbation
- Magnetic interpretation of the nodal defect on graphs
- Eigenfunctions of unbounded support for embedded eigenvalues of locally perturbed periodic graph operators
- Magnetic Schrödinger operators on periodic discrete graphs
- Essential self-adjointness of magnetic Schrödinger operators on locally finite graphs
- Essential self-adjointness for combinatorial Schrödinger operators. III: Magnetic fields
- An inertia theorem for symmetric matrices and its application to nonlinear programming
- On inertia and Schur complement in optimization
- Restricted quadratic forms, inertia theorems, and the Schur complement
- Fresnel integrals and determinants
- On the structure of band edges of \(2\)-dimensional periodic elliptic operators
- Symmetry and Dirac points in graphene spectrum
- Manifestations of the Schur complement
- The spectrum of magnetic Schrödinger operators on a graph with periodic structure.
- Spectral shift via ``lateral perturbation
- Invariants for Laplacians on periodic graphs
- Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics
- Determination of the inertia of a partitioned Hermitian matrix
- An overview of periodic elliptic operators
- Approximating Coalescing Points for Eigenvalues of Hermitian Matrices of Three Parameters
- On the location of spectral edges in \mathbb {Z}-periodic media
- Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs
- Two-Parameter SVD: Coalescing Singular Values and Periodicity
- On occurrence of spectral edges for periodic operators inside the Brillouin zone
- Generic properties of dispersion relations for discrete periodic operators
- Honeycomb lattice potentials and Dirac points
- Subordinate Quadratic Forms and Their Complementary Forms
- A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
- The Band Theory of Graphite
- The creation of spectral gaps by graph decoration
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