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Works citing this work

40 works

Work: Repulsively bound atom pairs in an optical lattice

  1. The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

    J. I. Abdullaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20212 citations
    ABI

  2. Bound states of a system of two bosons with a spherically potential on a lattice

    J. I. Abdullaev, Sh. H. Ergashova, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20211 citations
    ABI

  3. Bound States of a Lattice Two-Boson System with Interactions up to the Next Neighboring Sites

    S. N. Lakaev, Saodat Sharipova

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20241 citations
    ABI

  4. Spectral Properties of the Hamiltonian of a Two-Fermion System

    M. I. Muminov, A. M. Khurramov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20251 citations
    ABI

  5. On the discrete spectrum of the Schrödinger operator using the 2+1 fermionic trimer on the lattice

    A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20231 citations
    ABI

  6. DISCRETE SPECTRUM ASYMPTOTICS FOR THE TWO-PARTICLE SCHRÖDINGER OPERATOR ON A LATTICE

    J. I. Abdullaev, A. M. Khalkhuzhaev, K. O. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Sciences20240 citations
    ABI

  7. The Threshold Effects for the Two Particle Discrete Schrödinger Operators on Lattices

    S. N. Lakaev, I. N. Bozorov, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20240 citations
    ABI

  8. The Number and Location of Eigenvalues of Two Particle Schrödinger Operators on a Lattice

    Собир Сахибжанович Улашов, Sh. I. Khamidov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  9. The Point Spectrum of the Three-Particle Schrödinger Operator on $$\boldsymbol{\mathbb{Z}}$$ with Masses $$\boldsymbol{m_{1}=m_{2}=\infty}$$ and $$\boldsymbol{m_{3}<\infty}$$

    Zahriddin Muminov, Vasila Aktamova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  10. Below-threshold effects for the two particle discrete Schr¨odinger operator on a lattice

    I. N. Bozorov, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  11. Существование трехчастичных связанных состояний в оптической решетке

    S. N. Lakaev, Sh. I. Khamidov, Собир Сахибжанович Улашов

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20250 citations
    ABI

  12. Existence of three-particle bound states in optical lattice

    S. N. Lakaev, Sh Khamidov, S. S. Ulashov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20250 citations
    ABI

  13. A Two-Boson 2D Lattice Hamiltonian with Interactions up to Next-to-Neighboring Sites

    S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  14. Below-Threshold Effects for the Two Particle Discrete Schrödinger Operator on a Lattice

    I. N. Bozorov, Sh Khamidov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20250 citations
    ABI

  15. Spectral properties of a two-boson system on a three-dimensional lattice

    A. A. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
    ABI