Bound states of discrete Schrödinger operators on one and two dimensional lattices

Shokhrukh Kholmatov, Saidakhmat Lakaev, Firdavs Almuratov

We study the spectral properties of discrete Schrödinger operator $${\hat{H}}_{\mu }={\hat{H}}_0+\mu \hat{V},\mu \ge 0,$$ associated to a one-particle system in $d$-dimensiona…