2 papers
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-ph2023
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…