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Works citing this work

22 works

Work: Cold Bosonic Atoms in Optical Lattices

  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. Quantum phase transitions in optical lattices beyond the Bogoliubov approximation

    H. Kleinert, Zabardast Narzikulov, Abdulla Rakhimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesPhysical Review A201210 citations
    ABI

  5. On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

    Shokhrukh Yu. Kholmatov, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 citations
    ABI

  6. 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

  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 Spectrum of a Non-local Discrete Schrödinger Operator with a Delta Potential on the One-Dimentional Lattice

    Sh. S. Lakaev, Golibjon Ismoilov, O. I. Kurbonov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  9. 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

  10. 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

  11. Expansion of eigenvalues of the perturbed discrete bilaplacian

    Shokhrukh Yu. Kholmatov, A. M. Khalkhuzhaev, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsMonatshefte für Mathematik20224 citations
    ABI

  12. 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

  13. 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

  14. 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

  15. On the Spectrum of the Discrete Schrödinger Operator of a Rank-Two Perturbation on $$\mathbb{Z}$$

    Sh. U. Alladustov, Fumio Hiroshima, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20242 citations
    ABI

  16. Bound States of a Lattice Two-Boson System with Interactions up to the Next Neighboring Sites

    S. N. Lakaev, Saodat Sharipova

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20241 citations
    ABI

  17. Intrinsic localized modes in arrays of atomic-molecular Bose-Einstein condensates

    F. Kh. Abdullaev, V. V. Konotop

    ArticleNonlinear Photonic SystemsPhysical Review A20031 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. 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

  21. 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

  22. 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