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Works cited by this work

17 works

Work: The number of bound states of a one-particle Hamiltonian on a three-dimensional 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 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. 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. On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Statistical Physics200730 citations
    ABI

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

    Hideo Tamura

    Article199324 citations
    ABI

  8. Analysis of Operators

    Michael C. Reed, Barry Simon

    Book197824 citations
    ABI

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

    V.N. Efimov

    Article197019 citations
    ABI

  10. Solvable Models in Quantum Mechanics

    Sergio Albeverio, Friedrich Gesztesy, Raphaël Høegh-Krohn +1

    Book198815 citations
    ABI

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

    V.N. Efimov

    Article197112 citations
    ABI

  12. Merging of eigenvalues and resonances of a two-particle Schrödinger operator

    S. N. Lakaev, Sh. M. Tilavova

    Article199411 citations
    ABI

  13. Two-particle bound state spectrum of transfer matrices for Gibbs fields (Fields on the two-dimensional lattice. Adjacent levels)

    Evgeny Lakshtanov, R. A. Minlos

    Article20055 citations
    ABI

  14. Large time behavior of the Lp norm of Schrödinger semigroups

    Barry Simon

    Article19813 citations
    ABI

  15. The symmetry and Efimov's effect in systems of three-quantum particles

    Semjon Vugalter, G. M. Zhislin

    Article19823 citations
    ABI

  16. Noncentral potentials: The generalized Levinson theorem and the structure of the spectrum

    Roger G. Newton

    Article19772 citations
    ABI

  17. Untitled

    Other1 citations
    ABI