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Works cited by this work

34 works

Work: On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice

  1. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
    ABI

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

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

    Article200251 citations
    ABI

  3. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

  4. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

    S. N. Lakaev, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 citations
    ABI

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

    Barry Simon

    Article197630 citations
    ABI

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

    Martin Klaus

    Article197730 citations
    ABI

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

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  8. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Article200527 citations
    ABI

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

    S. N. Lakaev, Shokhrukh Yu. Kholmatov, Shakhobiddin I Khamidov

    Article202126 citations
    ABI

  10. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Article200425 citations
    ABI

  11. Untitled

    Other25 citations
    ABI

  12. Cold Bosonic Atoms in Optical Lattices

    Dieter Jaksch, Christoph Bruder, J. I. Cirac +2

    Article199822 citations
    ABI

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

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra202021 citations
    ABI

  14. Threshold Analysis of the Three Dimensional Lattice Schrödinger Operator with Non-Local Potential

    Z. E. Muminov, Sh. U. Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202021 citations
    ABI

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

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

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
    ABI

  16. Untitled

    Other20 citations
    ABI

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

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  18. Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian

    Zahriddin Muminov, Shukhrat Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202019 citations
    ABI

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

    Zahriddin Muminov, Уткир Кулжанов, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202118 citations
    ABI

  20. Bound states of Schrödinger-type operators on one and two dimensional lattices

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

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202115 citations
    ABI

  21. Ultracold Heteronuclear Molecules in a 3D Optical Lattice

    C. Ospelkaus, Silke Ospelkaus, Leif Humbert +3

    Article200614 citations
    ABI

  22. The Exact Number of Eigenvalues of the Discrete Schrödinger Operators in One-Dimensional Case

    S. N. Lakaev, I. U. Alladustova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202114 citations
    ABI

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

    S. N. Lakaev, Shohruh Yu Holmatov

    Article201211 citations
    ABI

  24. 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

  25. Formation of ultracold fermionic NaLi Feshbach molecules

    Myoung-Sun Heo, Tout T. Wang, Caleb A. Christensen +5

    Article20127 citations
    ABI