On the MIT bag model in the non-relativistic limit

DOI10.1007/s00220-017-2916-8zbMath1373.81422arXiv1607.02603OpenAlexW3100766260MaRDI QIDQ2406837

Naiara Arrizabalaga, Nicolas Raymond, Loïc Le Treust

Publication date: 6 October 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02603

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05) Boundary value problems for linear first-order PDEs (35F15)

Related Items (22)

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 ⋮ Dirac operators with Lorentz scalar shell interactions ⋮ Spectral inequality for Dirac right triangles ⋮ A sharp upper bound on the spectral gap for graphene quantum dots ⋮ Resolvent convergence to Dirac operators on planar domains ⋮ The MIT bag model as an infinite mass limit ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ Self‐adjointness for the MIT bag model on an unbounded cone ⋮ Casimir energy for spinor fields with δ-shell potentials ⋮ Eigenvalue curves for generalized MIT bag models ⋮ Leaky quantum structures ⋮ Dirac operators on hypersurfaces as large mass limits ⋮ Self-adjointness of Dirac operators with infinite mass boundary conditions in sectors ⋮ 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 ⋮ Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions ⋮ Extension operator for the MIT bag model ⋮ On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions ⋮ Spectral properties of relativistic quantum waveguides ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary

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