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Works cited by this work

21 works

Work: Spectral properties of a two-particle Hamiltonian on a lattice

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
    ABI

  2. Methods of Modern Mathematical Physics

    Book197291 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
    ABI

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

    D R Jafaev

    Article197459 citations
    ABI

  6. Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians

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

    Article200251 citations
    ABI

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

    S. N. Lakaev

    Article199134 citations
    ABI

  8. 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

  9. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

    S. N. Lakaev, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 citations
    ABI

  10. Analysis of Operators

    Michael C. Reed, Barry Simon

    Book197824 citations
    ABI

  11. Finiteness of the discrete spectrum of the three-particle schrödinger equation on a lattice

    Zh. I. Abdullaev, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics199716 citations
    ABI

  12. Untitled

    Other14 citations
    ABI

  13. Positivity of the two-particle Hamiltonian on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200713 citations
    ABI

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

    M. Sh. Birman, M. Z. Solomjak

    Book198711 citations
    ABI

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

    S. N. Lakaev, Sh. M. Tilavova

    Article199411 citations
    ABI

  16. The Spectrum of Two-Particle Bound States for the Transfer Matrices of Gibbs Fields (an Isolated Bound State)

    Evgeny Lakshtanov, R. A. Minlos

    Article200410 citations
    ABI

  17. On the finiteness of the discrete spectrum of the three-particle Schrödinger operator

    D. R. Yafaev

    Article197510 citations
    ABI

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

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200910 citations
    ABI

  19. The number of eigenvalues of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20097 citations
    ABI

  20. 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

  21. Virtual levels of n-particle systems

    G. M. Zhislin

    Article19863 citations
    ABI