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Spectral Theory in Mathematical Physics

460 works

  1. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
    ABI

  2. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
    ABI

  3. Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, M. É. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200333 citations
    ABI

  4. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

    S. N. Lakaev, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 citations
    ABI

  5. 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

  6. The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201027 citations
    ABI

  7. Bounds on the discrete spectrum of lattice Schrödinger operators

    V. Bach, W. de Siqueira Pedra, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics201824 citations
    ABI

  8. 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

  9. On the number of eigenvalues of a model operator related to a system of three particles on lattices

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201122 citations
    ABI

  10. 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

  11. Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations201521 citations
    ABI

  12. Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra202021 citations
    ABI

  13. Threshold Analysis of the Three Dimensional Lattice Schrödinger Operator with Non-Local Potential

    Z. E. Muminov, Sh. U. Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202021 citations
    ABI

  14. Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

    J. I. Abdullaev, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200321 citations
    ABI

  15. Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
    ABI

  16. Transparent quantum graphs

    Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  17. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  18. Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201019 citations
    ABI

  19. DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS

    Sh. A. Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Operator Algebra ResearchInfinite Dimensional Analysis Quantum Probability and Related Topics201019 citations
    ABI

  20. Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian

    Zahriddin Muminov, Shukhrat Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202019 citations
    ABI

  21. A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators

    S. N. Lakaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsMathematical Notes200319 citations
    ABI

  22. On the Spectrum of the Two-particle Shrödinger Operator with Point Interaction

    Zahriddin Muminov, Уткир Кулжанов, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202118 citations
    ABI

  23. Stationary nonlinear Schrödinger equation on simplest graphs

    K.K. Sabirov, Z. A. Sobirov, D. Babajanov +1

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  24. The existence of bound states in a system of three particles in an optical lattice

    Saidakhmat N Lakaev, Shukhrat S Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201717 citations
    ABI

  25. On the structure of the essential spectrum for the three‐particle Schrödinger operators on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsMathematische Nachrichten200717 citations
    ABI