Resolvent Convergence to Dirac Operators on Planar Domains View Full Text


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Article Info

DATE

2019-03-19

AUTHORS

Jean-Marie Barbaroux, Horia Cornean, Loïc Le Treust, Edgardo Stockmeyer

ABSTRACT

Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain Ω. We give a simple proof for the norm resolvent convergence, as m goes to infinity, of this operator to a Dirac operator defined on Ω with infinite-mass boundary conditions. The result is valid for bounded and unbounded domains and gives estimates on the speed of convergence. Moreover, the method easily extends when adding external matrix-valued potentials. More... »

PAGES

1-15

References to SciGraph publications

  • 2018-05. Self-Adjointness of Dirac Operators with Infinite Mass Boundary Conditions in Sectors in ANNALES HENRI POINCARÉ
  • 2017-12. Spectral Gaps in Graphene Antidot Lattices in INTEGRAL EQUATIONS AND OPERATOR THEORY
  • 2017-09. On the MIT Bag Model in the Non-relativistic Limit in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2017-06. Spectral Gaps of Dirac Operators Describing Graphene Quantum Dots in MATHEMATICAL PHYSICS, ANALYSIS AND GEOMETRY
  • 2008-01. Electron energy level statistics in graphene quantum dots in JETP LETTERS
  • 2017-04. Self-Adjointness of Two-Dimensional Dirac Operators on Domains in ANNALES HENRI POINCARÉ
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s00023-019-00787-2

    DOI

    http://dx.doi.org/10.1007/s00023-019-00787-2

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