133 citations · 369 across the 26 of their papers we have counts for
26 papers
Threshold Resonances, Critical Couplings, and Eigenvalue Bounds for Two-Particle Operators on
Saidakhmat N. Lakaev, Saidakbar S. Abduvayitov, Shuhrat S. Lakaev
We study a family of lattice Schrödinger operators describing two identical bosons on the three-dimensional cubic lattice , where …
A two-boson lattice Hamiltonian with interactions up to next-neighboring sites
S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova
A system of two identical spinless bosons on the two-dimensional lattice is considered under the assumption that on-site and first and second nearest-neighboring site interactions…
The number and location of eigenvalues for the two-particle Schrödinger operators on lattices
Saidakhmat N. Lakaev, Mukhayyo O. Akhmadova
We study the Schrödinger operators , $K\in\T$ being a fixed (quasi)momentum of the particles pair, associated with a system of two identical bosons on the one-dimension…
Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions
Saidakhmat N. Lakaev, Alexander K. Motovilov, Saidakbar Kh. Abdukhakimov
We study the Schroedinger operators H_{λμ}(K), with K \in T_2 the fixed quasi-momentum of the particles pair, associated with a system of two identical fermions on the two-dimensio…
On the spectrum of Schrödinger-type operators on two dimensional lattices
Shokhrukh Yu. Kholmatov, Saidakhmat N. Lakaev, Firdavsjon M. Almuratov
We consider a family of Schrödinger-type operators on the two dimensional lattice where $\wideha…
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 associated to the Bose-Hubbard Hamiltonian of…