Resolvent Convergence to Dirac Operators on Planar Domains

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

Research output: Contribution to journalJournal articleResearchpeer-review

2 Citations (Scopus)


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.

Original languageEnglish
JournalAnnales Henri Poincare
Issue number6
Pages (from-to)1877-1891
Number of pages15
Publication statusPublished - Jun 2019


Cite this