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Works cited by this work

33 works

Work: Below-Threshold Effects for the Two Particle Discrete 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. Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

    A. Mogilner

    Other199157 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. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

  8. 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

  9. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Article200527 citations
    ABI

  10. 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

  11. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Article200425 citations
    ABI

  12. Untitled

    Other25 citations
    ABI

  13. Cold Bosonic Atoms in Optical Lattices

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

    Article199822 citations
    ABI

  14. 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

  15. On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice

    M. I. Muminov, A.M. Khurramov, I. N. Bozorov

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics202315 citations
    ABI

  16. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

    Bekzod I. Bahronov, Tulkin H. Rasulov, Mubashar Rehman

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics202314 citations
    ABI

  17. Ultracold Heteronuclear Molecules in a 3D Optical Lattice

    C. Ospelkaus, Silke Ospelkaus, Leif Humbert +3

    Article200614 citations
    ABI

  18. Conditions for the existence of bound states of a two-particle Hamiltonian on a three-dimensional lattice

    M. I. Muminov, A.M. Khurramov, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics202213 citations
    ABI

  19. 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

  20. 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

  21. 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

  22. Merging of eigenvalues and resonances of a two-particle Schrödinger operator

    S. N. Lakaev, Sh. M. Tilavova

    Article199411 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 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

  25. Spectral properties of a Hamiltonian of a four-particle system on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20107 citations
    ABI