Работы, на которые ссылается эта работа

Работ: 30

Работа: On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice

The few-body problem on a lattice
Daniel C. Mattis
Статья1986Цитирований: 101
ABI
The Threshold Effects for the Two-Particle Hamiltonians on Lattices
Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1
СтатьяSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics2005Цитирований: 76
ABI
Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results
A. Mogilner
Другое1991Цитирований: 57
ABI
Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians
Paulo A. Faria da Veiga, L. Ioriatti, Michael O’Carroll
Статья2002Цитирований: 51
ABI
The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice
S. N. Lakaev, I. N. Bozorov
СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2009Цитирований: 32
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Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case
S. N. Lakaev, Shokhrukh Yu. Kholmatov, Shakhobiddin I Khamidov
Статья2021Цитирований: 26
ABI
Bounds on the discrete spectrum of lattice Schrödinger operators
V. Bach, W. de Siqueira Pedra, S. N. Lakaev
СтатьяSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics2018Цитирований: 24
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Threshold Analysis of the Three Dimensional Lattice Schrödinger Operator with Non-Local Potential
Z. E. Muminov, Sh. U. Alladustov, Sh. S. Lakaev
СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2020Цитирований: 21
ABI
Introduction to Quantum Graphs
Gregory Berkolaiko, Peter Kuchment
Книга2012Цитирований: 20
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Без названия
ДругоеЦитирований: 20
ABI
Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian
Zahriddin Muminov, Shukhrat Alladustov, Sh. S. Lakaev
СтатьяSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications2020Цитирований: 19
ABI
Bound states and resonances ofN-particle discrete Schrödinger operator
S. N. Lakaev
Статья1992Цитирований: 18
ABI
On the Number of Eigenvalues of the Lattice Model Operator in One-Dimensional Case
I. N. Bozorov, A. M. Khurramov
СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2022Цитирований: 16
ABI
Без названия
ДругоеЦитирований: 15
ABI
Bound states of Schrödinger-type operators on one and two dimensional lattices
Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov
СтатьяSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications2021Цитирований: 15
ABI
The Exact Number of Eigenvalues of the Discrete Schrödinger Operators in One-Dimensional Case
S. N. Lakaev, I. U. Alladustova
СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2021Цитирований: 14
ABI
Threshold effects in a two-fermion system on an optical lattice
S. N. Lakaev, S. H. Abdukhakimov
СтатьяCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics2020Цитирований: 13
ABI
Analysis on Graphs and Its Applications
Pavel Exner
Книга2008Цитирований: 11
ABI
On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation
Shokhrukh Yu. Kholmatov, Mardon Pardabaev
СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2021Цитирований: 10
ABI
Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential
J. I. Abdullaev, A. M. Toshturdiev
СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2022Цитирований: 10
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Без названия
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On the location of spectral edges in \mathbb {Z}-periodic media
Pavel Exner, Peter Kuchment, Brian Winn
Статья2010Цитирований: 9
ABI
Без названия
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ABI
SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3
JEAN BELLISSARD, HERMANN SCHULZ-BALDES
Статья2012Цитирований: 8
ABI
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ABI