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Works cited by this work

17 works

Work: The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

  1. Methods of Modern Mathematical Physics

    Book197291 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 THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

    D R Jafaev

    Article197459 citations
    ABI

  5. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 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 Efimov effect of three-body Schrödinger operators

    Hideo Tamura

    Article199135 citations
    ABI

  8. On the infinite number of three-particle bound states of a system of three quantum lattice particles

    S. N. Lakaev

    Article199134 citations
    ABI

  9. Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, M. É. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200333 citations
    ABI

  10. Analysis of Operators

    Michael C. Reed, Barry Simon

    Book197824 citations
    ABI

  11. Efimov's Effect: A New Pathology of Three-Particle Systems. II

    R. D. Amado, J. V. Noble

    Article197215 citations
    ABI

  12. Untitled

    Other14 citations
    ABI

  13. WEAKLY-BOUND STATES OF 3 RESONANTLY-INTERACTING PARTICLES

    V.N. Efimov

    Article197112 citations
    ABI

  14. A Hilbert Space Problem Book

    Paul R. Halmos

    Book198212 citations
    ABI

  15. Spectral Theory of Self-Adjoint Operators in Hilbert Space

    M. Sh. Birman, M. Z. Solomjak

    Book198711 citations
    ABI

  16. Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

    S. N. Lakaev, Zh. I. Abdullaev

    Article20027 citations
    ABI

  17. A Hilbert Space Problem Book.

    Peter Fillmore, Nigel Higson, Paul R. Halmos

    Article19844 citations
    ABI