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Works cited by this work

33 works

Work: Below-Threshold Effects for the Two Particle Discrete Schrödinger Operator on a Lattice

  1. The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Tulkin H. Rasulov, R. T. Mukhitdinov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20147 citations
    ABI

  2. Notes on infinite determinants of hilbert space operators

    Barry Simon

    Article19777 citations
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  3. Invariant Subspaces and Eigenvalues of the Three-Particle Discrete Schrödinger Operators

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

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20237 citations
    ABI

  4. On the number of eigenvalues of a model operator on a one-dimensional lattice

    Азам А. Имомов, I. N. Bozorov, Abdimazhid M. Khurramov

    Article20227 citations
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  5. On the existence of eigenvalues of the one particle discrete Schrödinger operators

    A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 citations
    ABI

  6. Existence Condition for the Eigenvalue of a Three-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20235 citations
    ABI

  7. On the spectrum of the two-particle Schrödinger operator with point potential: one dimensional case

    Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20234 citations
    ABI

  8. 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