A family , , of the Friedrichs models with the perturbation of rank one, associated to a system of two particles, moving on the two-dimensional lattice is considered. The existence or absence of the unique eigenvalue of the operator lying below threshold depending on the values of and is proved. The analyticity of corresponding eigenfunction is shown.
"Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One." Abstr. Appl. Anal. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/180953