S. Kholmatov

activity

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

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2021★ 28 cited

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…

math-ph2014

Existence of bound states of $N$ -body problem in an optical lattice

Shokhrukh Kholmatov, Zahriddin Muminov

We provide sufficient conditions to have at least one $N$ -particle bound state below the essential spectrum of a large class of $N$ -particle discrete Schrödinger operators $H (K),$ …

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

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

Existence of bound states of N-body problem in an optical lattice

Existence of bound states of $N$ -body problem in an optical lattice