140 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National University of UzbekistanUZ14 papers
- Tashkent Institute of Irrigation and Agricultural Mechanization EngineersUZ11 papers
- Tashkent State Technical University named after Islam KarimovUZ11 papers
- IkerbasqueES7 papers
- University of the Basque CountryES7 papers
- Academy of Sciences Republic of UzbekistanUZ6 papers
- Carl von Ossietzky Universität OldenburgDE6 papers
- Ulugh Beg Astronomical InstituteUZ6 papers
- University of BonnDE5 papers
- Inha University in TashkentUZ4 papers
- Institute of Nuclear PhysicsUZ4 papers
- University of Science and Technology of ChinaCN4 papers
8 papers · 1 filter
Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions
Saidakhmat N. Lakaev, Alexander K. Motovilov, Saidakbar Kh. Abdukhakimov
We study the Schroedinger operators H_{λμ}(K), with K \in T_2 the fixed quasi-momentum of the particles pair, associated with a system of two identical fermions on the two-dimensio…
Bose-Hubbard models with on-site and nearest-neighbor interactions: Exactly solvable case
Saidakhmat Lakaev, Shokhrukh Kholmatov, Shakhobiddin Khamidov
We study the discrete spectrum of the two-particle Schrödinger operator associated to the Bose-Hubbard Hamiltonian of…
Bounds on the Discrete Spectrum of Lattice Schrödinger Operators
Volker Bach, Walter de Siqueira Pedra, Saidakhmat Lakaev
We discuss the validity of the Weyl asymptotics -- in the sense of two-sided bounds -- for the size of the discrete spectrum of (discrete) Schrödinger operators on the --dimensi…
Asymptotics of Eigenvalues of the Two-particle Schrödinger operators on lattices
Saidakhmat N. Lakaev, Shohruh Yu. Holmatov
The Hamiltonian of a system of two quantum mechanical particles moving on the -dimensional lattice and interacting via zero-range attractive pair potentials is considered…
On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics
Sergio Albeverio, Saidakhmat N. Lakaev, Tulkin H. Rasulov
A model operator associated with the energy operator of a system describing three particles in interaction, without conservation of the number of particles, is considered. The…
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.…