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math-ph2023★ 2 cited
Continuum limit for Laplace and Elliptic operators on lattices
Keita Mikami, Shu Nakamura, Yukihide Tadano
Continuum limits of Laplace operators on general lattices are considered, and it is shown that these operators converge to elliptic operators on the Euclidean space in the sense of…
math-ph2023★ 1 cited
Remarks on discrete Dirac operators and their continuum limits
Shu Nakamura
We discuss possible definitions of discrete Dirac operators, and discuss their continuum limits. It is well-known in the lattice field theory that the straightforward discretizatio…