On the resolvent convergence of discrete Dirac operators on 3D cubic lattices

Fuente: arXiv
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Autori principali: Schmidt, Karl Michael, Umeda, Tomio
Natura: Preprint
Pubblicazione: 2025
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author Schmidt, Karl Michael
Umeda, Tomio
author_facet Schmidt, Karl Michael
Umeda, Tomio
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_01443
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the resolvent convergence of discrete Dirac operators on 3D cubic lattices
Schmidt, Karl Michael
Umeda, Tomio
Mathematical Physics
35Q40 (Primary) 47N50 (Secondary)
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.
title On the resolvent convergence of discrete Dirac operators on 3D cubic lattices
topic Mathematical Physics
35Q40 (Primary) 47N50 (Secondary)
url https://arxiv.org/abs/2507.01443