Spectral theory of first-order systems: From crystals to Dirac operators
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Publication:5156089
DOI10.1142/S0129055X21500148zbMath1471.35249arXiv1902.03010OpenAlexW3124809883MaRDI QIDQ5156089
Matania Ben-Artzi, Tomio Umeda
Publication date: 14 October 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.03010
thresholdsDirac operatorMaxwell equationsspectral theorylimiting absorption principlefirst-order systemsstrongly propagative systemsspacetime estimatesspectral derivativeeigenvalues in gapperturbation by potentialTE-TM modes
PDEs in connection with quantum mechanics (35Q40) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items
Answer to M. Ben-Artzi and T. Umeda, Spectral theory of first-order systems: From crystals to Dirac operators, Rev. Math. Phys. 33(5) (2021) 2150014 ⋮ Optimal constants of smoothing estimates for the 2D Dirac equation ⋮ Continuum limits for discrete Dirac operators on 2D square lattices
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