A. Khalkhuzhaev

collaborators

2 papers

math.SP2025

Bound states of 2+1 fermionic trimers on lattice at strong couplings

Janikul Abdullaev, Ahmad Khalkhuzhaev, Shokhrukh Yu. Kholmatov

In this paper, we investigate the bound states of $2 + 1$ fermionic trimers on a three-dimensional lattice at strong coupling. Specifically, we analyze the discrete spectrum of the a…

math.SP2019

Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian

Ahmad Khalkhuzhaev, Shokhrukh Yu. Kholmatov, Mardon Pardabaev

We consider the family $h^_{μ} := Δ^Δ^- μ v^,$ $μ \in R,$ of discrete Schrödinger-type operators in $d$ -dimensional lattice $Z^{d}$ , where…