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Работы, на которые ссылается эта работа

Работ: 27

Работа: The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

  1. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Статья2006Цитирований: 40
    ABI

  2. 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
    ABI

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

    Barry Simon

    Статья1976Цитирований: 30
    ABI

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

    Martin Klaus

    Статья1977Цитирований: 30
    ABI

  5. Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case

    Martin Klaus, Barry Simon

    Статья1980Цитирований: 27
    ABI

  6. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Статья2005Цитирований: 27
    ABI

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. Без названия

    ДругоеЦитирований: 20
    ABI

  13. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical2011Цитирований: 20
    ABI

  14. 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

  15. On the Spectrum of the Two-particle Shrödinger Operator with Point Interaction

    Zahriddin Muminov, Уткир Кулжанов, Sh. S. Lakaev

    СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2021Цитирований: 18
    ABI

  16. 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

  17. 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

  18. 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

  19. 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

  20. Asymptotics of the eigenvalues of a discrete Schrödinger operator with zero-range potential

    S. N. Lakaev, Shohruh Yu Holmatov

    Статья2012Цитирований: 11
    ABI

  21. 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

  22. 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
    ABI

  23. 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

  24. Notes on infinite determinants of hilbert space operators

    Barry Simon

    Статья1977Цитирований: 7
    ABI

  25. Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, A. T. Boltaev

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2019Цитирований: 7
    ABI