133 citations · 249 across the 6 of their papers we have counts for
6 papers
Threshold of discrete Schrödinger operators with delta potentials on -dimensional lattice
Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov
Eigenvalue behaviors of Schrödinger operator defined on -dimensional lattice with delta potentials is studied. It can be shown that lower threshold eigenvalue and lower th…
Existence of bound states of -body problem in an optical lattice
Shokhrukh Kholmatov, Zahriddin Muminov
We provide sufficient conditions to have at least one -particle bound state below the essential spectrum of a large class of -particle discrete Schrödinger operators …
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…
On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
Sergio Albeverio, Saidakhmat N. Lakaev, Zahriddin I. Muminov
A model operator associated to a system of three-particles on the three dimensional lattice and interacting via pair non-local potentials is studied. The following resul…
The Threshold effects for the two-particle Hamiltonians on lattices
Sergio Albeverio, Saidakhmat N. Lakaev, Konstantin A. Makarov +1
For a wide class of two-body energy operators on the three-dimensional lattice , being the two-particle quasi-momentum, we prove that if the following two assump…
Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
Sergio Albeverio, Saidakhmat N. Lakaev, Zahriddin I. Muminov
The Hamiltonian of a system of three quantum mechanical particles moving on the three-dimensional lattice and interacting via zero-range attractive potentials is considered.…