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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…