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Works cited by this work

17 works

Work: Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
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  2. Methods of Modern Mathematical Physics

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

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  4. Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians

    Paulo A. Faria da Veiga, L. Ioriatti, Michael O’Carroll

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  5. Linear Infinite-Particle Operators

    V. L. Malyshev, R. A. Minlos

    Book199538 citations
    ABI

  6. On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Statistical Physics200730 citations
    ABI

  7. 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

  8. 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

  9. Untitled

    Other15 citations
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  10. 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

  11. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles

    Sergio Albeverio, S. N. Lakaev, Ramiza Kh. Djumanova

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 citations
    ABI

  12. 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

  13. 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

  14. Expression for the number of eigenvalues of a Friedrichs model

    M. I. Muminov

    Article20075 citations
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  15. The Pseudopotential Concept

    Volker Heine

    Chapter19702 citations
    ABI

  16. 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

  17. Исследование числовой области значений одной операторной матрицы

    Тулкин Хусенович Расулов, Tulkin H. Rasulov, Элeр Бахтиeрович Дилмуродов +1

    ArticleMatrix Theory and AlgorithmsВестник Самарского государственного технического университета Серия Физико-математические науки20141 citations
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