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Works cited by this work

22 works

Work: Bound states of Schrödinger-type operators on one and two dimensional lattices

  1. 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

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

    Barry Simon

    Article197630 citations
    ABI

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

    Martin Klaus

    Article197730 citations
    ABI

  4. Perturbation Theory for Linear Operators

    Tosio Kato

    Book199528 citations
    ABI

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

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  6. 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

  7. 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

  8. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  9. Introduction to the theory of linear nonselfadjoint operators

    M. Г. Крейн, Israel Gohberg

    Book196911 citations
    ABI

  10. Asymptotics of the eigenvalues of a discrete Schrödinger operator with zero-range potential

    S. N. Lakaev, Shohruh Yu Holmatov

    Article201211 citations
    ABI

  11. Introduction to the Theory of Linear Non-selfadjoint Operators

    Israel Gohberg

    Article19699 citations
    ABI

  12. Untitled

    Other6 citations
    ABI

  13. Bound states of discrete Schrödinger operators with super-critical inverse square potentials

    David Damanik, Gerald Teschl

    Article20065 citations
    ABI

  14. CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL

    Yuri Kondratiev, Oleksandr Kutoviy, С. А. Пирогов

    Article20085 citations
    ABI

  15. ON CONTACT PROCESSES IN CONTINUUM

    Yuri Kondratiev, A. V. Skorokhod

    Article20065 citations
    ABI

  16. On ground state of some non local Schrödinger operators

    Yuri Kondratiev, Stanislav Molchanov, С. А. Пирогов +1

    Article20164 citations
    ABI

  17. Bargmann type estimates of the counting function for general Schrödinger operators

    Stanislav Molchanov, B. Vaĭnberg

    Article20123 citations
    ABI

  18. Quantitative Bounds Versus Existence of Weakly Coupled Bound States for Schrödinger Type Operators

    Vu Hoang, Dirk Hundertmark, Johanna Richter +1

    Article20223 citations
    ABI

  19. Асимптотики собственного значения  двухчастичного дискретного оператора Шредингера

    S. N. Lakaev, Ахмад Мияссарович Халхужаев, A. M. Khalkhuzhaev +2

    Article20122 citations
    ABI

  20. On spectral estimates for the Schrödinger operators in global dimension 2

    G. Rozenblum, Michael Solomyak

    Article20142 citations
    ABI

  21. Untitled

    Other2 citations
    ABI

  22. Untitled

    Other1 citations
    ABI