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 $H_{\gamma \lambda \mu }(K)$, $K\in {\mathbb{T}}^2,$ of discrete Schrödinger operators, associated to the Hamiltonian of a system of two identical bosons on the two-dimen\-sional…