Abstract
Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain \(\Omega \). We give a simple proof for the norm resolvent convergence, as m goes to infinity, of this operator to a Dirac operator defined on \(\Omega \) 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.
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Communicated by Alain Joye.
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Barbaroux, JM., Cornean, H., Le Treust, L. et al. Resolvent Convergence to Dirac Operators on Planar Domains. Ann. Henri Poincaré 20, 1877–1891 (2019). https://doi.org/10.1007/s00023-019-00787-2
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DOI: https://doi.org/10.1007/s00023-019-00787-2