3 papers
math.SP2025
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 $K \in \mathbb{T}…
math-ph2024
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…
math-ph2024
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\-si…