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Works cited by this work

25 works

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

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
    ABI

  2. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
    ABI

  3. On Efimov's effect in a system of three identical quantum particles

    S. N. Lakaev

    Article199366 citations
    ABI

  4. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 citations
    ABI

  5. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

  6. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Article200527 citations
    ABI

  7. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Article200425 citations
    ABI

  8. Untitled

    Other25 citations
    ABI

  9. Bounds on the discrete spectrum of lattice Schrödinger operators

    V. Bach, W. de Siqueira Pedra, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics201824 citations
    ABI

  10. Cold Bosonic Atoms in Optical Lattices

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

    Article199822 citations
    ABI

  11. On the number of eigenvalues of a model operator related to a system of three particles on lattices

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201122 citations
    ABI

  12. Existence of an isolated band in a system of three particles in an optical lattice

    S. N. Lakaev, Gianfausto Dell’Antonio, Ahmad M Khalkhuzhaev

    Article201619 citations
    ABI

  13. The existence of bound states in a system of three particles in an optical lattice

    Saidakhmat N Lakaev, Shukhrat S Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201717 citations
    ABI

  14. On the Number of Eigenvalues of the Lattice Model Operator in One-Dimensional Case

    I. N. Bozorov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202216 citations
    ABI

  15. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 citations
    ABI

  16. Untitled

    Other15 citations
    ABI

  17. 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

  18. Ultracold Heteronuclear Molecules in a 3D Optical Lattice

    C. Ospelkaus, Silke Ospelkaus, Leif Humbert +3

    Article200614 citations
    ABI

  19. 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

  20. Perturbation of a lattice spectral band by a nearby resonance

    А. К. Мотовилов, W. Sandhas, V.B. Belyaev

    Article200114 citations
    ABI

  21. Threshold effects in a two-fermion system on an optical lattice

    S. N. Lakaev, S. H. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics202013 citations
    ABI

  22. The Existence and location of eigenvalues of the one particle Hamiltonians on lattices

    Saidalhmat Lakaev

    Article201612 citations
    ABI

  23. WEAKLY BOUND STATES OF THREE RESONANTLY INTERACTING PARTICLES.

    V.N. Efimov

    Article19707 citations
    ABI

  24. 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

  25. 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