Effective Gaps in Continuous Floquet Hamiltonians

DOI10.1137/21M1417363zbMath1486.35357arXiv2105.00958OpenAlexW4211075231WikidataQ114074043 ScholiaQ114074043MaRDI QIDQ5030386

Amir Sagiv, Michael I. Weinstein

Publication date: 17 February 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00958

zbMATH Keywords

Schrödinger equationDirac equationparametric forcinggraphenetopological insulatorFloquet

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) Homogenization in optics and electromagnetic theory (78M40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ Unified Approach to Floquet Lattices, Topological Insulators, and Their Nonlinear Dynamics ⋮ Radiative Decay of Edge States in Floquet Media

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