Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\)

DOI10.1007/s00023-020-00925-1zbMath1454.81079arXiv1910.11711OpenAlexW2982231571WikidataQ98239613 ScholiaQ98239613MaRDI QIDQ2195866

Jussi Behrndt, Albert Mas, Markus Holzmann

Publication date: 28 August 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11711

zbMATH Keywords

Weyl functionquasi boundary tripleself-adjoint Dirac operators on domains in \(\mathbb{R}^3\)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nuclear physics (81V35) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Boundary value problems for linear first-order PDEs (35F15)

Related Items

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, Spectral transition for Dirac operators with electrostatic \(\delta\)-shell potentials supported on the straight line, The Dirac bag model in strong magnetic fields, On the single layer boundary integral operator for the Dirac equation, 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, Eigenvalue curves for generalized MIT bag models, A note on the three dimensional Dirac operator with zigzag type boundary conditions, Dirac operator spectrum in tubes and layers with a zigzag-type boundary

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