The number and location of two particle Schrödinger operators on a lattice

Sobir Ulashov, Shakhobiddin Khamidov, Shukhrat Lakaev

We study the Schrödinger operators $H_{\lambda \mu }(K)$ with $K\in {\mathbb{T}}^2$ being the fixed quasimomentum of a pair of particles, associated with a system of two arbitrary particles o…