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7 works

Work: Monotonicity of the eigenvalues of the two-particle Schrödinger operatoron a lattice

  1. On the existence of eigenvalues of the one particle discrete Schrödinger operators

    A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 citations
    ABI

  2. On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator

    S. N. Lakaev, D. A. Latipova, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20262 citations
    ABI

  3. DISCRETE SPECTRUM ASYMPTOTICS FOR THE TWO-PARTICLE SCHRÖDINGER OPERATOR ON A LATTICE

    J. I. Abdullaev, A. M. Khalkhuzhaev, K. O. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Sciences20240 citations
    ABI

  4. Threshold effects in spectra of one-particle operators

    Firdavsjon M. Almuratov, Salokhiddin Alimov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20240 citations
    ABI

  5. On the Infinite Number of Eigenvalues of the Two-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20240 citations
    ABI

  6. On the infinite number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  7. Critical mass ratio and phase transition in three-particle lattice systems: comparison of bosonic and fermionic cases

    J. I. Abdullaev, A.I. Eshniyоzov, M. V. Dolgopolov

    ArticleQuantum many-body systemsNanosystems Physics Chemistry Mathematics20260 citations
    ABI