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math.AP2025
On the dispersive estimates for the discrete Schrödinger equation on a honeycomb lattice
Younghun Hong, Yukihide Tadano, Changhun Yang
The discrete Schrödinger equation on a two-dimensional honeycomb lattice is a fundamental tight-binding approximation model that describes the propagation of waves on graphene. For…
math.AP2023
Non-smoothness of the fundamental solutions for Schrödinger equations with super-quadratic and spherically symmetric potential
Keiichi Kato, Wataru Nakahashi, Yukihide Tadano
We study non-smoothness of the fundamental solution for the Schrödinger equation with a spherically symmetric and super-quadratic potential in the sence that $V(x)\geq C|x|^{2+\var…