2 papers
math-ph2019
Some properties of threshold eigenstates and resonant states of discrete Schrödinger operators
Yuji Nomura, Kouichi Taira
In this note, we study some properties of threshold resonant states or threshold eigenfunctions for discrete Schrödinger operators. We mainly prove two theorems. First, we prove th…
math-ph2016
Schrödinger operators with random magnetic fields
Takuya Mine, Yuji Nomura
We shall consider the Schrödinger operators on with random magnetic fields. Under some mild conditions on the positions and the fluxes of the -fields, we prov…