On the resolvent convergence of discrete Dirac operators on 3D cubic lattices
Mathematical Physics
2025-07-03 v1 math.MP
Abstract
We prove that the discrete Dirac operators in three dimensions converge to the continuum Dirac operators in the strong resolvent sense, but not in the norm resolvent sense.
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Cite
@article{arxiv.2507.01443,
title = {On the resolvent convergence of discrete Dirac operators on 3D cubic lattices},
author = {Karl Michael Schmidt and Tomio Umeda},
journal= {arXiv preprint arXiv:2507.01443},
year = {2025}
}
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10 pages