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Works cited by this work

18 works

Work: Spectrum and resolvent of the operator matrix associated to a system describing at most four quantum particles on a lattice

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

    A. Mogilner

    Other199157 citations
    ABI

  2. Linear Infinite-Particle Operators

    V. L. Malyshev, R. A. Minlos

    Book199538 citations
    ABI

  3. The three-body problem in radioactive decay: The case of one atom and at most two photons

    R. Minlos, H. Spohn

    Other199634 citations
    ABI

  4. Spectral Theory of Block Operator Matrices and Applications

    Christiane Tretter

    Book200826 citations
    ABI

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

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics202011 citations
    ABI

  6. Analysis of the spectrum of a 2x2 operator matrix. Discrete spectrum asymptotics

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleMatrix Theory and AlgorithmsNanosystems Physics Chemistry Mathematics202010 citations
    ABI

  7. On the structure of the essential spectrum of a model many-body Hamiltonian

    Tulkin H. Rasulov

    ArticleCold Atom Physics and Bose-Einstein CondensatesMathematical Notes200810 citations
    ABI

  8. Essential spectrum of a family of 3 × 3 operator matrices: Location of the branches

    Nargiza Ahmedovna Tosheva

    Article20239 citations
    ABI

  9. Discrete eigenvalues of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 citations
    ABI

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

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20107 citations
    ABI

  11. Study of the essential spectrum of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  12. On the essential spectrum of a four-particle Schrödinger operator on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20116 citations
    ABI

  13. On the Existence of an Eigenvalue of the Generalized Friedrichs Model

    M. I. Muminov, U. R. Shadiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20246 citations
    ABI

  14. On the eigenvalues of the lattice spin-boson model with at most one photon

    Elyor B. Dilmurodov, Bekzod I. Bahronov, Khilola G. Khayitova +2

    ArticleSpectral Theory in Mathematical PhysicsE3S Web of Conferences20246 citations
    ABI

  15. New branches of the essential spectrum of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    Article20206 citations
    ABI

  16. On the number of eigenvalues of a model operator in fermionic Fock space

    Zahriddin Muminov, Fudziah Ismail, Z. K. Eshkuvatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20135 citations
    ABI

  17. Faddeev equation and its symmetric version for a three-particle lattice hamiltonian

    Gulhayo H. Umirkulova, Bekzod I. Bahronov, Nargiza Ahmedovna Tosheva +2

    ArticleSpectral Theory in Mathematical PhysicsE3S Web of Conferences20245 citations
    ABI

  18. Threshold analysis for a family of 2×2 operator matrices

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleApproximation Theory and Sequence SpacesNanosystems Physics Chemistry Mathematics20195 citations
    ABI