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Works cited by this work

20 works

Work: On the Number of Components of the Essential Spectrum of One 2 × 2 Operator Matrix

  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. Spectrum and scattering in a “spin-boson” model with not more than three photons

    Yu. V. Zhukov, R. A. Minlos

    Article199525 citations
    ABI

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

    M. I. Muminov, Hagen Neidhardt, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics201521 citations
    ABI

  7. 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

  8. 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

  9. 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

  10. Untitled

    Other14 citations
    ABI

  11. Conditions for the existence of bound states of a two-particle Hamiltonian on a three-dimensional lattice

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

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics202213 citations
    ABI

  12. The Number and Location of Eigenvalues of the Two Particle Discrete Schrödinger Operators

    I. N. Bozorov, Sh. I. Khamidov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202212 citations
    ABI

  13. The Faddeev equation and the location of the essential spectrum of a model multi-particle operator

    Tulkin H. Rasulov

    ArticleQuantum and electron transport phenomenaRussian Mathematics200810 citations
    ABI

  14. Spectral properties of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201310 citations
    ABI

  15. The Dirac Equation

    Bernd Thaller, Bernd Thaller

    Book199210 citations
    ABI

  16. Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20147 citations
    ABI

  17. 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

  18. 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

  19. 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
    ABI

  20. Magnetohydrodynamics and Spectral Theory

    Alexander Lifschitz

    Book19895 citations
    ABI