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4 works

Work: Finiteness of the discrete spectrum for non-trivial values of the full quasi-momentum in the system of three bosons on a lattice

  1. The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

    J. I. Abdullaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20212 citations
    ABI

  2. Discrete Spectrum of the Schrödinger Operator of a System of Three Fermions on a One Dimensional Lattice

    J. I. Abdullaev, Sh. H. Ergashova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20251 citations
    ABI

  3. Eigenvalues of the Schrödinger Operator Corresponding to a System of Three Fermions on a One Dimensional Lattice

    J. I. Abdullaev, Sh. H. Ergashova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  4. 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