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Works citing this work

16 works

Work: Finiteness of the discrete spectrum of the three-particle schrödinger equation on a lattice

  1. 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

  2. Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

    J. I. Abdullaev, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200321 citations
    ABI

  3. On the structure of the essential spectrum for the three‐particle Schrödinger operators on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsMathematische Nachrichten200717 citations
    ABI

  4. Spectral properties of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201310 citations
    ABI

  5. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles

    Sergio Albeverio, S. N. Lakaev, Ramiza Kh. Djumanova

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 citations
    ABI

  6. Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

    Yu. Kh. Èshkabilov, R.R. Kucharov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20128 citations
    ABI

  7. Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20197 citations
    ABI

  8. On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials

    Z. E. Muminov, Sh. S. Lakaev, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20215 citations
    ABI

  9. Finiteness of the discrete spectrum for non-trivial values of the full quasi-momentum in the system of three bosons on a lattice

    Жаникул Ибрагимович Абдуллаев

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematical Surveys20074 citations
    ABI

  10. Discrete spectrum of a model operator in Fock space

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20073 citations
    ABI

  11. 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

  12. On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice

    M. I. Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20162 citations
    ABI

  13. Essential Schrödinger operator spectrum of one system of four particles on a lattice

    Zh. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20001 citations
    ABI

  14. 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

  15. On compact perturbation of two-particle Schrödinger operator on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20150 citations
    ABI

  16. Пороговые явления в спектре двухчастичного оператора Шредингера на решетке

    S. N. Lakaev, Asomiddin Tulkinovich Boltaev

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20190 citations
    ABI