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Quantum Mechanics and Non-Hermitian Physics

158 works

  1. 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

  2. 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

  3. On the Modified Korteweg–De-Vries Equation with Loaded Term

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

  4. 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

  5. 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

  6. 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

  7. 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

  8. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 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. The Exact Number of Eigenvalues of the Discrete Schrödinger Operators in One-Dimensional Case

    S. N. Lakaev, I. U. Alladustova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202114 citations
    ABI

  11. 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

  12. The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations

    Bazar Babajanov, Fakhriddin Abdikarimov

    ArticleNonlinear Waves and SolitonsFrontiers in Applied Mathematics and Statistics202211 citations
    ABI

  13. The most general axially symmetric electrovac spacetime admitting separable equations of motion

    Naresh Dadhich, Z. Ya. Turakulov

    ArticleQuantum Electrodynamics and Casimir EffectClassical and Quantum Gravity200211 citations
    ABI

  14. Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order

    Anvar Hasanov, T. K. Yuldashev

    ArticleMathematical functions and polynomialsLobachevskii Journal of Mathematics202211 citations
    ABI

  15. Integration of the negative order Korteweg–de Vries equation with a self-consistent source in the class of periodic functions

    G. U. Urazboev, Hasanov M.M.

    ArticleSpectral Theory in Mathematical PhysicsVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki202211 citations
    ABI

  16. 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

  17. PT-symmetric quantum graphs

    D. U. Matrasulov, K K Sabirov, Jambul Yusupov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsJournal of Physics A Mathematical and Theoretical201910 citations
    ABI

  18. Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential

    J. I. Abdullaev, A. M. Toshturdiev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 citations
    ABI

  19. On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices

    S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

  20. Nonlocal nonlinear Schrödinger equation on metric graphs: A model for generation and transport of parity-time-symmetric nonlocal solitons in networks

    M. Akramov, K.K. Sabirov, D. U. Matrasulov +3

    ArticleNonlinear Waves and SolitonsPhysical review. E20228 citations
    ABI

  21. Spectral properties of a Hamiltonian of a four-particle system on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20107 citations
    ABI

  22. 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

  23. Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20197 citations
    ABI

  24. The number of eigenvalues of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20097 citations
    ABI

  25. Transparent PT-symmetric nonlinear networks

    M. Akramov, Jambul Yusupov, Matthias Ehrhardt +2

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysica Scripta20256 citations
    ABI