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Works citing this work

26 works

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

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

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

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202212 citations
    ABI

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

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

    ArticleCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 citations
    ABI

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

    S. N. Lakaev, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 citations
    ABI

  4. Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential

    J. I. Abdullaev, A. M. Toshturdiev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 citations
    ABI

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

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

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

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

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20237 citations
    ABI

  7. On the spectrum of Schrödinger-type operators on two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications20227 citations
    ABI

  8. The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

    A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20225 citations
    ABI

  9. On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice

    Saidakbar Kh. Abdukhakimov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  10. On the existence of eigenvalues of the one particle discrete Schrödinger operators

    A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 citations
    ABI

  11. On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice

    M. O. Akhmadova, I. U. Alladustova, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  12. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

    Sh. Kh. Kurbanov, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  13. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    S. N. Lakaev, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 citations
    ABI

  14. 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

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20243 citations
    ABI

  15. Spectral analysis of two-particle Hamiltonians with short-range interactions

    M. O. Akhmadova, M. A. Azizova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20252 citations
    ABI

  16. On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator

    S. N. Lakaev, D. A. Latipova, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20262 citations
    ABI

  17. 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

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  18. The Threshold Effects for the Two Particle Discrete Schrödinger Operators on Lattices

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

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20240 citations
    ABI

  19. The Number and Location of Eigenvalues of Two Particle Schrödinger Operators on a Lattice

    Собир Сахибжанович Улашов, Sh. I. Khamidov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  20. On the Spectrum of the Two-Particle Schrödinger Operator with Point Potential: Two Dimensional Case

    Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  21. Below-threshold effects for the two particle discrete Schr¨odinger operator on a lattice

    I. N. Bozorov, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  22. Существование трехчастичных связанных состояний в оптической решетке

    S. N. Lakaev, Sh. I. Khamidov, Собир Сахибжанович Улашов

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20250 citations
    ABI

  23. Existence of three-particle bound states in optical lattice

    S. N. Lakaev, Sh Khamidov, S. S. Ulashov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20250 citations
    ABI

  24. A Two-Boson 2D Lattice Hamiltonian with Interactions up to Next-to-Neighboring Sites

    S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  25. Below-Threshold Effects for the Two Particle Discrete Schrödinger Operator on a Lattice

    I. N. Bozorov, Sh Khamidov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20250 citations
    ABI