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Works cited by this work

21 works

Work: On the existence of eigenvalues of the one particle discrete Schrödinger operators

  1. 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

  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. ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

    D R Jafaev

    Article197459 citations
    ABI

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

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 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. Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case

    Martin Klaus, Barry Simon

    Article198027 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. 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

  12. The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues

    Hideo Tamura

    Article199324 citations
    ABI

  13. 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

  14. Untitled

    Other20 citations
    ABI

  15. Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum

    S. N. Lakaev, Tulkin H. Rasulov

    Article200318 citations
    ABI

  16. 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

  17. The Efimov Effect for a Model Operator Associated with the Hamiltonian of a non Conserved Number of Particles

    Sergio Albeverio, Saidakhmat N. Lakaev, Tulkin +1

    Article201513 citations
    ABI

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

    Saidalhmat Lakaev

    Article201612 citations
    ABI

  19. 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

  20. 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

  21. Untitled

    Other1 citations
    ABI