The MIT bag model as an infinite mass limit

DOI10.5802/jep.95zbMath1420.35094arXiv1808.09746OpenAlexW2963182932WikidataQ127824054 ScholiaQ127824054MaRDI QIDQ2423203

Nicolas Raymond, Naiara Arrizabalaga, Albert Mas, Loïc Le Treust

Publication date: 21 June 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09746

zbMATH Keywords

Dirac operatorspectral theoryMIT bag modelrelativistic particle in a box

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (15)

Dirac–Coulomb operators with infinite mass boundary conditions in sectors ⋮ Boundary problems for three-dimensional Dirac operators and generalized MIT bag models for unbounded domains ⋮ Spectral optimization of Dirac rectangles ⋮ A generalized MIT bag operator on spin manifolds in the non-relativistic limit ⋮ Spectral inequality for Dirac right triangles ⋮ The Dirac bag model in strong magnetic fields ⋮ Resolvent convergence to Dirac operators on planar domains ⋮ Two-dimensional Dirac operators with singular interactions supported on closed curves ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ Eigenvalue curves for generalized MIT bag models ⋮ Essential self-adjointness of symmetric first-order differential systems and confinement of Dirac particles on bounded domains in \({\mathbb{R}}^d\) ⋮ Dirac operators on hypersurfaces as large mass limits ⋮ A note on the three dimensional Dirac operator with zigzag type boundary conditions ⋮ A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities ⋮ On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions

Cites Work

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• The Calderón projection: New definition and applications
• A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions
• Klein's paradox and the relativistic \(\delta\)-shell interaction in \(\mathbb{R}^3\)
• On the MIT bag model in the non-relativistic limit
• Resolvent convergence to Dirac operators on planar domains
• Infinite mass boundary conditions for Dirac operators
• Boundary Value Problems for Elliptic Differential Operators of First Order

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