A note on the three dimensional Dirac operator with zigzag type boundary conditions

DOI10.1007/s11785-021-01090-xzbMath1465.81026arXiv2006.16739OpenAlexW3136497055MaRDI QIDQ2030202

Yanyan Li

Publication date: 7 June 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16739

zbMATH Keywords

boundary conditionsDirac operatorspectral theoryeigenvalue of infinite multiplicity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary value problems for linear first-order PDEs (35F15)

Related Items (11)

Spectral analysis of Dirac operators with delta interactions supported on the boundaries of rough domains ⋮ Spectral properties of the Dirac operator coupled with \(\delta\)-shell interactions ⋮ Dirac operators with delta-interactions on smooth hypersurfaces in \(\mathbb{R}^n\) ⋮ Spectral transition for Dirac operators with electrostatic \(\delta\)-shell potentials supported on the straight line ⋮ Method of potential operators for interaction problems on unbounded hypersurfaces in \(\mathbb{R}^n\) for Dirac operators ⋮ Interaction problems on periodic hypersurfaces for Dirac operators on \(\mathbb{R}^n \) ⋮ Self‐adjointness for the MIT bag model on an unbounded cone ⋮ General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation ⋮ Fredholm property of interaction problems on unbounded \(C^2-\) hypersurfaces in \(\mathbb{R}^n\) for Dirac operators ⋮ Eigenvalue curves for generalized MIT bag models ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary

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