28 citations · 28 across the 4 of their papers we have counts for
4 papers
Explicit Bound States and Threshold Resonances for Two Identical Fermions on a One-Dimensional Lattice
Sobir S. Ulashov, Shakhobiddin I. Khamidov
We study a two-particle lattice Schrödinger operator describing two identical fermions on the one-dimensional lattice with nearest-neighbor interaction of strength $λ\i…
The number and location of two particle Schrödinger operators on a lattice
Sobir Ulashov, Shakhobiddin Khamidov, Shukhrat Lakaev
We study the Schrödinger operators with being the fixed quasimomentum of a pair of particles, associated with a system of two arbitrary particles o…
Number of bound states of the Hamiltonian of a lattice two-boson system with interactions up to the next neighbouring sites
Saidakhmat N. Lakaev, Shakhobiddin I. Khamidov, Mukhayyo O. Akhmadova
We study the family , of discrete Schrödinger operators, associated to the Hamiltonian of a system of two identical bosons on the two-dimen\-sional…
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…