4 citations · 7 across the 2 of their papers we have counts for
3 papers
math-ph2019★ 3 cited
On a continuum limit of discrete Schrödinger operators on square lattice
Shu Nakamura, Yukihide Tadano
The norm resolvent convergence of discrete Schrödinger operators to a continuum Schrödinger operator in the continuum limit is proved under relatively weak assumptions. This result…
math-ph2018★ 4 cited
Long-range scattering theory for discrete Schrödinger operators on graphene
Yukihide Tadano
We consider a long-range scattering theory for discrete Schrödinger operators on the hexagonal lattice, which describe tight-binding Hamiltonians on the graphene sheet. We construc…
math-ph2018
Uniform bounds of discrete Birman-Schwinger operators
Yukihide Tadano, Kouichi Taira
In this note, uniform bounds of the Birman-Schwinger operators in the discrete setting are studied. For uniformly decaying potentials, we obtain the same bound as in the continuous…