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Works cited by this work

23 works

Work: Existence Condition for the Eigenvalue of a Three-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 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. Linear Infinite-Particle Operators

    V. L. Malyshev, R. A. Minlos

    Book199538 citations
    ABI

  8. 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

  9. 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

  10. On Efimov's effect: A new pathology of three-particle systems

    R. D. Amado, J. V. Noble

    Article197119 citations
    ABI

  11. Energy levels arising from resonant two-body forces in a three-body system

    V.N. Efimov

    Article197019 citations
    ABI

  12. Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

    Hideo Tamura

    Article201819 citations
    ABI

  13. Existence of an isolated band in a system of three particles in an optical lattice

    S. N. Lakaev, Gianfausto Dell’Antonio, Ahmad M Khalkhuzhaev

    Article201619 citations
    ABI

  14. The existence of bound states in a system of three particles in an optical lattice

    Saidakhmat N Lakaev, Shukhrat S Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201717 citations
    ABI

  15. Untitled

    Other15 citations
    ABI

  16. 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

  17. Efimov Effect for a Three-Particle System with Two Identical Fermions

    Giulia Basti, Alessandro Teta

    Article20179 citations
    ABI

  18. Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics

    D. K. Gridnev

    Article20148 citations
    ABI

  19. The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice

    A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20177 citations
    ABI

  20. Untitled

    Other6 citations
    ABI

  21. Spectral Analysis of the 2 + 1 Fermionic Trimer with Contact Interactions

    Simon Becker, Alessandro Michelangeli, Andrea Ottolini

    Article20185 citations
    ABI

  22. A system of three quantum particles with point-like interactions

    R. A. Minlos

    Article20145 citations
    ABI

  23. Untitled

    Other3 citations
    ABI