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Works cited by this work

21 works

Work: DISCRETE SPECTRUM ASYMPTOTICS FOR THE TWO-PARTICLE SCHRÖDINGER OPERATOR ON A LATTICE

  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. 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

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

    S. N. Lakaev

    Article199366 citations
    ABI

  5. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 citations
    ABI

  6. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

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

    Barry Simon

    Article197630 citations
    ABI

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

    Martin Klaus

    Article197730 citations
    ABI

  9. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Article200527 citations
    ABI

  10. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Article200425 citations
    ABI

  11. Untitled

    Other25 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. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Article198018 citations
    ABI

  14. Ultracold Heteronuclear Molecules in a 3D Optical Lattice

    C. Ospelkaus, Silke Ospelkaus, Leif Humbert +3

    Article200614 citations
    ABI

  15. Spectrum of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200811 citations
    ABI

  16. Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200510 citations
    ABI

  17. Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, Isroil A. Ikromov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20079 citations
    ABI

  18. Bound states of a two-boson system on a two-dimensional lattice

    Zh. I. Abdullaev, Komil Kuliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20168 citations
    ABI

  19. Monotonicity of the eigenvalues of the two-particle Schrödinger operatoron a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, L.S. Usmonov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20217 citations
    ABI

  20. The number of eigenvalues of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20097 citations
    ABI

  21. Existence Condition for the Eigenvalue of a Three-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20235 citations
    ABI