Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators

DOI10.1137/18M1171527zbMath1412.35283arXiv1802.06812OpenAlexW2788952036MaRDI QIDQ4627432

Rachael T. Keller, Braxton Osting, Jeremy L. Marzuola, Michael I. Weinstein

Publication date: 11 March 2019

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06812

zbMATH Keywords

Schrödinger operatorhomogenizationband structureperiodic potentialsLieb latticespectral band degeneracies

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Spectral theory and eigenvalue problems for partial differential equations (35P99) PDEs in connection with quantum mechanics (35Q40) Quantum equilibrium statistical mechanics (general) (82B10) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (8)

ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials ⋮ Nonlinear dynamics of modulated waves on graphene like quantum graphs ⋮ ERRATUM: Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators ⋮ Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene ⋮ Wave packet dynamics in slowly modulated photonic graphene ⋮ Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ High Contrast Elliptic Operators in Honeycomb Structures

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