Discrete approximations to Dirac operators and norm resolvent convergence

DOI10.4171/jst/438zbMath1530.47016arXiv2203.07826MaRDI QIDQ6111650

Horia D. Cornean, Henrik Garde, Arne Jensen

Publication date: 4 August 2023

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07826

zbMATH Keywords

approximationDirac operatordiscrete Dirac operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Linear operator approximation theory (47A58) Linear difference operators (47B39)

Related Items (1)

Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence

Cites Work

• Unnamed Item
• On a continuum limit of discrete Schrödinger operators on square lattice
• Norm resolvent convergence of discretized Fourier multipliers
• Continuum limit of the lattice quantum graph Hamiltonian
• Continuum limit for lattice Schrödinger operators
• Continuum limits for discrete Dirac operators on 2D square lattices

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