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Works cited by this work

15 works

Work: Existence and analyticity of bound states of a two-particle 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. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
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  5. On Efimov's effect in a system of three identical quantum particles

    S. N. Lakaev

    Article199366 citations
    ABI

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

    D R Jafaev

    Article197459 citations
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  7. Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

    A. Mogilner

    Other199157 citations
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  8. Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians

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

    Article200251 citations
    ABI

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

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 citations
    ABI

  10. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

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

    Hideo Tamura

    Article199324 citations
    ABI

  12. A class of exactly solvable three-body quantum mechanical problems and the universal low energy behavior

    Sergio Albeverio, Raphaël Høegh-Krohn, Tai Tsun Wu

    Article198124 citations
    ABI

  13. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Article198018 citations
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  14. Many-Particle Hamiltonians: Spectra and Scattering

    R. A. Minlos, Sossinsky, A. B. 1937-

    Book19917 citations
    ABI

  15. Untitled

    Other6 citations
    ABI