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Works cited by this work

38 works

Work: On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
    ABI

  2. 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

  3. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
    ABI

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

    S. N. Lakaev

    Article199366 citations
    ABI

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

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

    Article200251 citations
    ABI

  6. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 citations
    ABI

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

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 citations
    ABI

  8. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

  9. The Efimov effect of three-body Schrödinger operators

    Hideo Tamura

    Article199135 citations
    ABI

  10. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Article200527 citations
    ABI

  11. 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

  12. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Article200425 citations
    ABI

  13. Untitled

    Other25 citations
    ABI

  14. 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

  15. Cold Bosonic Atoms in Optical Lattices

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

    Article199822 citations
    ABI

  16. 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

  17. 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

  18. 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

  19. Solvable Models in Quantum Mechanics

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

    Book198815 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. The Existence and location of eigenvalues of the one particle Hamiltonians on lattices

    Saidalhmat Lakaev

    Article201612 citations
    ABI

  22. 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

  23. 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

  24. High-Temperature Superfluidity of Fermionic Atoms in Optical Lattices

    Walter Hofstetter, J. I. Cirac, P. Zoller +2

    Article20027 citations
    ABI

  25. Window-coupled nanolayers: window shape influence on one-particle and two-particle eigenstates

    Alexander Bagmutov, I. Yu. Popov

    Article20207 citations
    ABI