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Работы, на которые ссылается эта работа

Работ: 26

Работа: The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a 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. Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

    A. Mogilner

    Другое1991Цитирований: 57
    ABI

  5. The bound state of weakly coupled Schrödinger operators in one and two dimensions

    Barry Simon

    Статья1976Цитирований: 30
    ABI

  6. On the bound state of Schrödinger operators in one dimension

    Martin Klaus

    Статья1977Цитирований: 30
    ABI

  7. Perturbation Theory for Linear Operators

    Tosio Kato

    Книга1995Цитирований: 28
    ABI

  8. 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

  9. Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2012Цитирований: 21
    ABI

  10. Без названия

    ДругоеЦитирований: 20
    ABI

  11. Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Tulkin H. Rasulov

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2010Цитирований: 19
    ABI

  12. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Статья1980Цитирований: 18
    ABI

  13. The threshold effects for a family of Friedrichs models under rank one perturbations

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications2006Цитирований: 16
    ABI

  14. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

    Bekzod I. Bahronov, Tulkin H. Rasulov, Mubashar Rehman

    СтатьяSpectral Theory in Mathematical PhysicsRussian Mathematics2023Цитирований: 14
    ABI

  15. Bound states of a system of two fermions on a one-dimensional lattice

    J. I. Abdullaev

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2006Цитирований: 13
    ABI

  16. The Number and Location of Eigenvalues of the Two Particle Discrete Schrödinger Operators

    I. N. Bozorov, Sh. I. Khamidov, S. N. Lakaev

    СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2022Цитирований: 12
    ABI

  17. Spectrum of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, A. M. Khalkhuzhaev

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2008Цитирований: 11
    ABI

  18. On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, Sh. I. Khamidov

    СтатьяCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics2022Цитирований: 10
    ABI

  19. Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice

    J. I. Abdullaev

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2005Цитирований: 10
    ABI

  20. The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice

    A. M. Khalkhuzhaev, J. I. Abdullaev, J. Kh. Boymurodov

    СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2022Цитирований: 9
    ABI

  21. Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, Isroil A. Ikromov

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2007Цитирований: 9
    ABI

  22. Bound states of a two-boson system on a two-dimensional lattice

    Zh. I. Abdullaev, Komil Kuliev

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2016Цитирований: 8
    ABI

  23. The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices

    S. N. Lakaev, A. T. Boltaev

    СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2023Цитирований: 7
    ABI

  24. Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice

    M. I. Muminov, Tulkin H. Rasulov

    СтатьяSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics2015Цитирований: 7
    ABI

  25. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation

    Tulkin H. Rasulov, Bekzod I. Bahronov

    СтатьяAdvanced Differential Geometry ResearchNanosystems Physics Chemistry Mathematics2023Цитирований: 6
    ABI