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Работы, на которые ссылается эта работа

Работ: 28

Работа: Existence of three-particle bound states in optical lattice

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Статья1986Цитирований: 101
    ABI

  2. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    СтатьяSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré2004Цитирований: 82
    ABI

  3. 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

  4. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Статья1993Цитирований: 74
    ABI

  5. On Efimov's effect in a system of three identical quantum particles

    S. N. Lakaev

    Статья1993Цитирований: 66
    ABI

  6. ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

    D R Jafaev

    Статья1974Цитирований: 59
    ABI

  7. Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians

    Paulo A. Faria da Veiga, L. Ioriatti, Michael O’Carroll

    Статья2002Цитирований: 51
    ABI

  8. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Книга1993Цитирований: 50
    ABI

  9. Number of bound states of three-body systems and Efimov's effect

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Статья1979Цитирований: 49
    ABI

  10. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Статья2006Цитирований: 40
    ABI

  11. Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, M. É. Muminov

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2003Цитирований: 33
    ABI

  12. 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

  13. 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
    ABI

  14. On the number of eigenvalues of a model operator related to a system of three particles on lattices

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical2011Цитирований: 22
    ABI

  15. Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    СтатьяSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra2020Цитирований: 21
    ABI

  16. Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

    Hideo Tamura

    Статья2018Цитирований: 19
    ABI

  17. Existence of an isolated band in a system of three particles in an optical lattice

    S. N. Lakaev, Gianfausto Dell’Antonio, Ahmad M Khalkhuzhaev

    Статья2016Цитирований: 19
    ABI

  18. The existence of bound states in a system of three particles in an optical lattice

    Saidakhmat N Lakaev, Shukhrat S Lakaev

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical2017Цитирований: 17
    ABI

  19. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical2007Цитирований: 15
    ABI

  20. 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

  21. Energy levels of three resonantly interacting particles

    V.N. Efimov

    Статья1973Цитирований: 14
    ABI

  22. 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

  23. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    СтатьяCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical2023Цитирований: 11
    ABI

  24. On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices

    S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov

    СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2022Цитирований: 9
    ABI

  25. Efimov Effect for a Three-Particle System with Two Identical Fermions

    Giulia Basti, Alessandro Teta

    Статья2017Цитирований: 9
    ABI