S. Kholmatov · wovepaper

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20142025

most citedBose-Hubbard models with on-site and nearest-neighbor interactions: Exactly solvable case

28 citations · 41 across the 17 of their papers we have counts for

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Showing 2019 · math.SPShow all

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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…

math.SP2019★ 1 cited

Asymptotics of eigenvalues of the zero-range perturbation of the discrete bilaplacian

Shokhrukh Yu. Kholmatov, Mardon Pardabaev

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