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Иш: Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

The Number and Location of Eigenvalues of the Two Particle Discrete Schrödinger Operators
I. N. Bozorov, Sh. I. Khamidov, S. N. Lakaev
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202212 иқтибос
ABI
Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions
S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov
МақолаCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 иқтибос
ABI
On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice
S. N. Lakaev, Sh. I. Khamidov
МақолаCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 иқтибос
ABI
Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential
J. I. Abdullaev, A. M. Toshturdiev
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 иқтибос
ABI
On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices
S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 иқтибос
ABI
The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices
S. N. Lakaev, A. T. Boltaev
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20237 иқтибос
ABI
On the spectrum of Schrödinger-type operators on two dimensional lattices
Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov
МақолаSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications20227 иқтибос
ABI
The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices
A. T. Boltaev, Firdavsjon M. Almuratov
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20225 иқтибос
ABI
On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice
Saidakbar Kh. Abdukhakimov, S. N. Lakaev
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 иқтибос
ABI
On the existence of eigenvalues of the one particle discrete Schrödinger operators
A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov
МақолаSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 иқтибос
ABI
On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice
M. O. Akhmadova, I. U. Alladustova, S. N. Lakaev
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 иқтибос
ABI
Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One
Sh. Kh. Kurbanov, Said T. Dustov
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 иқтибос
ABI
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices
S. N. Lakaev, M. O. Akhmadova
МақолаSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 иқтибос
ABI
Number of Bound States of the Hamiltonian of a Lattice Two-boson System with Interactions up to the Next Neighboring Sites
S. N. Lakaev, Sh. I. Khamidov, M. O. Akhmadova
МақолаCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20243 иқтибос
ABI
Spectral analysis of two-particle Hamiltonians with short-range interactions
M. O. Akhmadova, M. A. Azizova
МақолаSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20252 иқтибос
ABI
On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator
S. N. Lakaev, D. A. Latipova, M. O. Akhmadova
МақолаSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20262 иқтибос
ABI
The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a Lattice
J. I. Abdullaev, A. M. Khalkhuzhaev, Kh. Sh. Makhmudov
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 иқтибос
ABI
The Threshold Effects for the Two Particle Discrete Schrödinger Operators on Lattices
S. N. Lakaev, I. N. Bozorov, Sh. I. Khamidov
МақолаCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20240 иқтибос
ABI
The Number and Location of Eigenvalues of Two Particle Schrödinger Operators on a Lattice
Собир Сахибжанович Улашов, Sh. I. Khamidov, Sh. S. Lakaev
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 иқтибос
ABI
On the Spectrum of the Two-Particle Schrödinger Operator with Point Potential: Two Dimensional Case
Utkir Kuljanov
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 иқтибос
ABI
Below-threshold effects for the two particle discrete Schr¨odinger operator on a lattice
I. N. Bozorov, Sh. I. Khamidov
МақолаCold Atom Physics and Bose-Einstein CondensatesIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 иқтибос
ABI
Существование трехчастичных связанных состояний в оптической решетке
S. N. Lakaev, Sh. I. Khamidov, Собир Сахибжанович Улашов
МақолаSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20250 иқтибос
ABI
Existence of three-particle bound states in optical lattice
S. N. Lakaev, Sh Khamidov, S. S. Ulashov
МақолаSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20250 иқтибос
ABI
A Two-Boson 2D Lattice Hamiltonian with Interactions up to Next-to-Neighboring Sites
S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova
МақолаSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 иқтибос
ABI
Below-Threshold Effects for the Two Particle Discrete Schrödinger Operator on a Lattice
I. N. Bozorov, Sh Khamidov
МақолаSpectral Theory in Mathematical PhysicsRussian Mathematics20250 иқтибос
ABI