Browsing by Author "Le Treust, Loic"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Resolvent Convergence to Dirac Operators on Planar Domains
    (2019) Barbaroux, Jean-Marie; Cornean, Horia; Le Treust, Loic; Stockmeyer, Edgardo
    Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain . We give a simple proof for the norm resolvent convergence, as m goes to infinity, of this operator to a Dirac operator defined on 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.