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Works cited by this work

23 works

Work: Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
    ABI

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

    A. Mogilner

    Other199157 citations
    ABI

  3. Elements of the Theory of Functions and Functional Analysis

    Andrej Nikolaevich Kolmogorov, Sergey Fomin

    Book196123 citations
    ABI

  4. On the number of eigenvalues of a model operator associated to a system of three-particles on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsRussian Journal of Mathematical Physics200722 citations
    ABI

  5. Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201019 citations
    ABI

  6. Bound states and resonances ofN-particle discrete Schrödinger operator

    S. N. Lakaev

    Article199218 citations
    ABI

  7. A discrete “three-particle” Schrödinger operator in the Hubbard model

    Yu. Kh. Èshkabilov

    ArticlePhysics of Superconductivity and MagnetismTheoretical and Mathematical Physics200618 citations
    ABI

  8. 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

  9. Methods of Modern Mathematical Physics, Vol 1: Functional Analysis

    C. J. Isham

    Article197212 citations
    ABI

  10. The Efimov effect for a model “three-particle” discrete Schrödinger operator

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  11. Bound states of a cluster operator

    S. N. Lakaev, R. A. Minlos

    Article19795 citations
    ABI

  12. Essential and discrete spectra of partially integral operators

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20095 citations
    ABI

  13. The Iorio-O'Carroll theorem for anN-particle lattice Hamiltonian

    Yu. V. Zhukov

    Article19965 citations
    ABI

  14. Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice

    S. N. Lakaev, Сайдазим Мамарахимович Саматов

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20014 citations
    ABI

  15. On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators

    Sergio Albeverio, S. N. Lakaev, J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics20033 citations
    ABI

  16. Finiteness of the Number of Discrete Eigenvalues of the Schrödinger Operator for a Three Particle System

    Jun Uchiyama

    Article19703 citations
    ABI

  17. Finiteness of the Number of Discrete Eigenvalues of the Schrödinger Operator for a Three Particle System

    Jun Uchiyama

    Article19693 citations
    ABI

  18. On the finiteness of the discrete spectrum of the energy operator of negative atomic and molecular ions

    G. M. Zhislin

    Article19713 citations
    ABI

  19. Description of the spectrum of the energy operator of quantum-mechanical systems that is invariant with respect to permutations of identical particles

    A. Sigalov, Israel Michael Sigal

    Article19702 citations
    ABI

  20. Corrections to "Finiteness of the Number of Discrete Eigenvalues of the Schrödinger Operator for a Three Particle System"

    Jun Uchiyama

    Article19702 citations
    ABI

  21. Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice

    S. N. Lakaev, Сайдазим Мамарахимович Саматов

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematical Surveys20021 citations
    ABI

  22. Untitled

    Other1 citations
    ABI

  23. Untitled

    Other1 citations
    ABI