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Works citing this work

21 works

Work: On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case

  1. Branches of the essential spectrum of the lattice spin-boson model with at most two photons

    Tulkin H. Rasulov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics201616 citations
    ABI

  2. 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

  3. О ветвях существенного спектра решетчатой модели спин-бозон с не более чем двумя фотонами

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика201611 citations
    ABI

  4. 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

  5. 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

  6. 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

  7. 2×2 operator matrix with real parameter and its spectrum

    Elyor B. Dilmurodov, Nargiza Ahmedovna Tosheva, Nabiya A. Turayeva +2

    ArticleMatrix Theory and AlgorithmsE3S Web of Conferences20245 citations
    ABI

  8. 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

  9. Spectral Relations for a Matrix Model in Fermionic Fock Space

    Tulkin H. Rasulov, D. E. Ismoilova

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20244 citations
    ABI

  10. Бесконечность числа собственных значений операторных $(2\times 2)$-матриц. Асимптотика дискретного спектра

    Tulkin H. Rasulov, Elyuor Bakhtiyorovich Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20203 citations
    ABI

  11. Spectral relations for a matrix model in fermionic Fock space

    Tulkin H. Rasulov, D. E. Ismoilova

    ArticleQuantum optics and atomic interactionsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20243 citations
    ABI

  12. On the Number of Components of the Essential Spectrum of One 2 × 2 Operator Matrix

    M. I. Muminov, I. N. Bozorov, Tulkin H. Rasulov

    ArticleMatrix Theory and AlgorithmsRussian Mathematics20242 citations
    ABI

  13. Estimates for the Bounds of the Essential Spectrum of a 2 × 2 Operator Matrix

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsContemporary Mathematics20202 citations
    ABI

  14. The first Schur complement for a lattice spin-boson model with at most two photons

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleCold Atom Physics and Bose-Einstein CondensatesNanosystems Physics Chemistry Mathematics20231 citations
    ABI

  15. Investigation of the Spectrum of an Operator Matrix of Order Three in One-Dimensional Case

    Tulkin H. Rasulov, F. M. Zhurakulova

    ArticleMatrix Theory and AlgorithmsRussian Mathematics20251 citations
    ABI

  16. Analytic description of the essential spectrum of a family of 3×3 operator matrices

    Tulkin H. Rasulov, Nargiza Ahmedovna Tosheva

    ArticleMatrix Theory and AlgorithmsNanosystems Physics Chemistry Mathematics20190 citations
    ABI

  17. Usual, quadratic and cubic numerical ranges corresponding to a $3\times 3$ operator matrices

    Mubina Sharipova

    ArticleSpectral Theory in Mathematical PhysicsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20220 citations
    ABI

  18. Some properties of the quartic numerical range for 4x4 operator matrices

    Hakimboy M. Latipov

    ArticleMatrix Theory and AlgorithmsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20230 citations
    ABI

  19. Описание спектра одной операторной матрицы четвертого порядка

    Tulkin H. Rasulov, Хакимбой Мирзо угли Лапитов, Hakimboy M. Latipov

    ArticleMaterial Science and ThermodynamicsВестник Самарского государственного технического университета Серия Физико-математические науки20230 citations
    ABI

  20. On the existence of an eigenvalue of the generalized Friedrichs model

    M. I. Muminov, U. R. Shadiev

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20240 citations
    ABI

  21. Investigation of the spectrum of an operator matrix of order three in one-dimensional case

    Tulkin H. Rasulov, Farangis Jurakulova

    ArticleMatrix Theory and AlgorithmsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI