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Works citing this work

18 works

Work: Some spectral properties of the generalized Friedrichs model

  1. 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

  2. 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

  3. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 citations
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  4. 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

  5. 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

  6. On infinity of the discrete spectrum of operators in the Friedrichs model

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20127 citations
    ABI

  7. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One

    S. N. Lakaev, Arsmah Ibrahim, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsAbstract and Applied Analysis20126 citations
    ABI

  8. 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

  9. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    S. N. Lakaev, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 citations
    ABI

  10. Main Properties of the Faddeev Equation for 2 × 2 Operator Matrices

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20233 citations
    ABI

  11. On the Eigenvalues of a Soluble Model of Coupled Molecular and Nuclear Hamiltonians

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleQuantum chaos and dynamical systemsContemporary Mathematics20243 citations
    ABI

  12. Number of Bound States of the Hamiltonian of a Lattice Two-boson System with Interactions up to the Next Neighboring Sites

    S. N. Lakaev, Sh. I. Khamidov, M. O. Akhmadova

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20243 citations
    ABI

  13. An eigenvalue multiplicity formula for the Schur complement of a 3 × 3 block operator matrix

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20152 citations
    ABI

  14. Threshold phenomenon for a family of the generalized Friedrichs models with the perturbation of rank one

    S. N. Lakaev, Maslina Darus, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsUfimskii Matematicheskii Zhurnal20192 citations
    ABI

  15. 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

  16. Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

    S. N. Lakaev, Shakhzod Kurbanov, Sh. U. Alladustov

    PreprintSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20210 citations
    ABI

  17. Main properties of the Faddeev equation for 2 \times 2 operator matrices

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20230 citations
    ABI

  18. On the number of eigenvalues of the generalized Friedrichs model with a compactly supported potential

    Saidachmat N. Lakaev, Sh. Kh. Kurbanov, Sh. U. Alladustov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics20250 citations
    ABI