The threshold effects for a family of Friedrichs models under rank one perturbations

Sergio Albeverio, Saidakhmat N. Lakaev, Zahriddin I. Muminov

A family of Friedrichs models under rank one perturbations $h_{\mu }(p),$ $p\in (-\pi ,\pi {]}^3$, $\mu >0,$ associated to a system of two particles on the three dimensional lattice ${\mathbb{Z}}^3$ is con…