S. Kholmatov

activity

20162025

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math-ph2021

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

Saidakhmat Lakaev, Shokhrukh Kholmatov, Shakhobiddin Khamidov

We study the discrete spectrum of the two-particle Schrödinger operator $H^_{μ λ} (K),$ $K \in T^{2},$ associated to the Bose-Hubbard Hamiltonian $H^_{μ λ}$ of…

math-ph2020

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 $H_{μ} = H_{0} + μ V, μ \geq 0,$ associated to a one-particle system in $d$ -dimensiona…