TY - JOUR
T1 - Resolvent Convergence to Dirac Operators on Planar Domains
AU - Barbaroux, Jean-Marie
AU - Cornean, Horia
AU - Le Treust, Loïc
AU - Stockmeyer, Edgardo
PY - 2019/6
Y1 - 2019/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85063231015&partnerID=8YFLogxK
U2 - 10.1007/s00023-019-00787-2
DO - 10.1007/s00023-019-00787-2
M3 - Journal article
SN - 1424-0637
VL - 20
SP - 1877
EP - 1891
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 6
ER -