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Works cited by this work

14 works

Work: Asymptotic expansion of Fredholm determinant associated to a family of Friedrichs models arising in quantum mechanics

  1. 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

    ArticleSpectral Theory in Mathematical PhysicsRussian Journal of Mathematical Physics200722 citations
    ABI

  2. On the perturbation of continuous spectra

    Kurt Friedrichs

    Article194819 citations
    ABI

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

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications200616 citations
    ABI

  4. On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice

    M. I. Muminov, A.M. Khurramov, I. N. Bozorov

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics202315 citations
    ABI

  5. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

    Bekzod I. Bahronov, Tulkin H. Rasulov, Mubashar Rehman

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics202314 citations
    ABI

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

    M. I. Muminov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20127 citations
    ABI

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

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20157 citations
    ABI

  8. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation

    Tulkin H. Rasulov, Bekzod I. Bahronov

    ArticleAdvanced Differential Geometry ResearchNanosystems Physics Chemistry Mathematics20236 citations
    ABI

  9. Spectral properties of a two-particle hamiltonian on a d-dimensional lattice

    M. I. Muminov

    Article20165 citations
    ABI

  10. Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1

    S. N. Lakaev, Maslina Darus, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical20135 citations
    ABI

  11. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

    Sh. Kh. Kurbanov, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  12. Essential spectrum of a model operator associated with a three-particle system on a lattice

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20112 citations
    ABI

  13. Finiteness of discrete spectrum of the two-particle Schrӧdinger operator on diamond lattices

    M. I. Muminov, C. Lokman

    Article20172 citations
    ABI

  14. Untitled

    Other1 citations
    ABI