Resolvent Convergence to Dirac Operators on Planar Domains
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Date
2019
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Abstract
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.