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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…