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Ish: Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

  1. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    MaqolaSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 iqtibos
    ABI

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

    S. N. Lakaev, I. N. Bozorov

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 iqtibos
    ABI

  3. On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum Asymptotics

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

    MaqolaSpectral Theory in Mathematical PhysicsJournal of Statistical Physics200730 iqtibos
    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

    MaqolaSpectral Theory in Mathematical PhysicsRussian Journal of Mathematical Physics200722 iqtibos
    ABI

  5. On the number of eigenvalues of a model operator related to a system of three particles on lattices

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    MaqolaSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201122 iqtibos
    ABI

  6. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    MaqolaSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 iqtibos
    ABI

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

    Tulkin H. Rasulov

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201019 iqtibos
    ABI

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

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    MaqolaSpectral Theory in Mathematical PhysicsMathematische Nachrichten200717 iqtibos
    ABI

  9. The threshold effects for a family of Friedrichs models under rank one perturbations

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    MaqolaSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications200616 iqtibos
    ABI

  10. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    MaqolaSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 iqtibos
    ABI

  11. Threshold effects in a two-fermion system on an optical lattice

    S. N. Lakaev, S. H. Abdukhakimov

    MaqolaCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics202013 iqtibos
    ABI

  12. Spectrum of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, A. M. Khalkhuzhaev

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200811 iqtibos
    ABI

  13. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    MaqolaCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 iqtibos
    ABI

  14. Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics202011 iqtibos
    ABI

  15. 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

    MaqolaSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 iqtibos
    ABI

  16. On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

    Shokhrukh Yu. Kholmatov, Mardon Pardabaev

    MaqolaSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 iqtibos
    ABI

  17. 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

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200910 iqtibos
    ABI

  18. The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice

    A. M. Khalkhuzhaev, J. I. Abdullaev, J. Kh. Boymurodov

    MaqolaSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 iqtibos
    ABI

  19. Discrete eigenvalues of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    MaqolaSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 iqtibos
    ABI

  20. Spectral properties of a Hamiltonian of a four-particle system on a lattice

    M. I. Muminov, U. R. Shodiev

    MaqolaSpectral Theory in Mathematical PhysicsRussian Mathematics20107 iqtibos
    ABI

  21. The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices

    S. N. Lakaev, A. T. Boltaev

    MaqolaSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20237 iqtibos
    ABI

  22. Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice

    M. I. Muminov, N. M. Aliev

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20127 iqtibos
    ABI

  23. Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice

    M. I. Muminov, Tulkin H. Rasulov

    MaqolaSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20157 iqtibos
    ABI

  24. Invariant Subspaces and Eigenvalues of the Three-Particle Discrete Schrödinger Operators

    J. I. Abdullaev, A. M. Khalkhuzhaev, Tulkin H. Rasulov

    MaqolaSpectral Theory in Mathematical PhysicsRussian Mathematics20237 iqtibos
    ABI

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

    S. N. Lakaev, A. T. Boltaev

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20197 iqtibos
    ABI