27 citations · 48 across the 11 of their papers we have counts for
4 papers · 1 filter
Discrete spectrum asymptotics for the three-particle Hamiltonians on lattices
Sergio Albeverio, Saidakhmat N. Lakaev, Axmad M. Xalxo'jaev
We consider the Hamiltonian of a system of three quantum mechanical particles on the three-dimensional lattice interacting via short-range pair potentials. We prove for the…
Asymptotics for the number of eigenvalues of three-particle Schrödinger operators on lattices
Sergio Albeverio, G. F. Dell Antonio, Saidakhmat N. Lakaev
We consider the Hamiltonian of a system of three quantum mechanical particles (two identical fermions and boson)on the three-dimensional lattice and interacting by means of…
Low energy effects for a family of Friedrichs models
Sergio Albeverio, Saidakhmat N. Lakaev, Ramiza Kh. Djumanova
A family of Friedrichs models with rank one perturbations associated to a system of two particles on the lattice is considered. The existence…
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 , associated to a system of two particles on the three dimensional lattice is con…