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32 works

Work: The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

  1. 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
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  2. 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
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  3. 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
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  4. On the Number of Eigenvalues of the Lattice Model Operator in One-Dimensional Case

    I. N. Bozorov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202216 citations
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  5. 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
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  6. 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

  7. 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
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  8. Threshold effects in a two-fermion system on an optical lattice

    S. N. Lakaev, S. H. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics202013 citations
    ABI

  9. 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
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  10. 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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  11. On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 citations
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  12. 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
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  13. 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
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  14. On spectrum and threshold analysis for discrete Schrödinger operator

    Zahriddin Muminov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20216 citations
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  15. The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

    A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20225 citations
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  16. On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice

    Saidakbar Kh. Abdukhakimov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
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  17. On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice

    M. O. Akhmadova, I. U. Alladustova, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
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  18. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

    Sh. Kh. Kurbanov, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
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  19. 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
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  20. Пороговые эффекты в системе двух фермионов на оптической решетке

    S. N. Lakaev, Saidakbar Khazratkul ugli Abdukhakimov

    ArticleDifferential Equations and Boundary ProblemsТеоретическая и математическая физика20203 citations
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  21. Spectral analysis of two-particle Hamiltonians with short-range interactions

    M. O. Akhmadova, M. A. Azizova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20252 citations
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  22. On the Spectrum of the Discrete Schrödinger Operator of a Rank-Two Perturbation on $$\mathbb{Z}$$

    Sh. U. Alladustov, Fumio Hiroshima, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20242 citations
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  23. Spectral Properties of the Hamiltonian of a Two-Fermion System

    M. I. Muminov, A. M. Khurramov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20251 citations
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  24. On the Negative Eigenvalues of the Discrete Schrödinger Operator with Non-Local Potential in Three-Dimensional Case

    Sh. U. Alladustov, O. I. Kurbonov, H. Z. Axralov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20221 citations
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  25. On compact perturbation of two-particle Schrödinger operator on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20150 citations
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