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Works cited by this work

17 works

Work: On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

  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. Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

    A. Mogilner

    Other199157 citations
    ABI

  5. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

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

    Barry Simon

    Article197630 citations
    ABI

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

    Martin Klaus

    Article197730 citations
    ABI

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

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  9. Untitled

    Other25 citations
    ABI

  10. Cold Bosonic Atoms in Optical Lattices

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

    Article199822 citations
    ABI

  11. 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

  12. 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

  13. 2-magnon scattering in the Heisenberg model

    Gian Michele Graf, Daniel Schenker

    Article199718 citations
    ABI

  14. Untitled

    Other15 citations
    ABI

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

    S. N. Lakaev, Shohruh Yu Holmatov

    Article201211 citations
    ABI

  16. Coupling constant thresholds in nonrelativistic quantum mechanics

    Martin Klaus, Barry Simon

    Article19803 citations
    ABI

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

    Vu Hoang, Dirk Hundertmark, Johanna Richter +1

    Article20223 citations
    ABI