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Works cited by this work

34 works

Work: The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

  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. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
    ABI

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

    S. N. Lakaev

    Article199366 citations
    ABI

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

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

    Article200251 citations
    ABI

  7. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 citations
    ABI

  8. Number of bound states of three-body systems and Efimov's effect

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 citations
    ABI

  9. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

  10. The Efimov effect of three-body Schrödinger operators

    Hideo Tamura

    Article199135 citations
    ABI

  11. 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

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

    Martin Klaus

    Article197730 citations
    ABI

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

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  14. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Article200527 citations
    ABI

  15. 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

  16. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Article200425 citations
    ABI

  17. Untitled

    Other25 citations
    ABI

  18. 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

  19. Cold Bosonic Atoms in Optical Lattices

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

    Article199822 citations
    ABI

  20. 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

  21. 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

  22. 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

  23. Untitled

    Other20 citations
    ABI

  24. Some spectral properties of the generalized Friedrichs model

    S. N. Lakaev

    Article198918 citations
    ABI

  25. Solvable Models in Quantum Mechanics

    Sergio Albeverio, Friedrich Gesztesy, Raphaël Høegh-Krohn +1

    Book198815 citations
    ABI