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Works cited by this work

16 works

Work: On the spectrum of the Schrödinger operator for a three-particle system on a lattice

  1. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
    ABI

  2. On Efimov's effect in a system of three identical quantum particles

    S. N. Lakaev

    Article199366 citations
    ABI

  3. Number of bound states of three-body systems and Efimov's effect

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 citations
    ABI

  4. Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  5. 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

  6. Energy levels arising from resonant two-body forces in a three-body system

    V.N. Efimov

    Article197019 citations
    ABI

  7. Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

    Hideo Tamura

    Article201819 citations
    ABI

  8. Existence of an isolated band in a system of three particles in an optical lattice

    S. N. Lakaev, Gianfausto Dell’Antonio, Ahmad M Khalkhuzhaev

    Article201619 citations
    ABI

  9. Existence of bound states of <i>N</i> -body problem in an optical lattice

    Shokhrukh Yu. Kholmatov, Zahriddin Muminov

    Article20188 citations
    ABI

  10. The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice

    A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20177 citations
    ABI

  11. Existence Condition for the Eigenvalue of a Three-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20235 citations
    ABI

  12. Three-body bound states in a lattice

    Manuel Valiente, David Petrosyan, Alejandro Sáenz

    Article20102 citations
    ABI

  13. A sufficient condition for the existence of bound states in a potential without spherical symmetry

    K. Chadan, Alexis Martin

    Article19802 citations
    ABI

  14. Three-body bound states of two bosons and one impurity in one dimension

    Yanxia Liu, Yi-Cong Yu, Shu Chen

    Article20212 citations
    ABI

  15. Strongly Interacting Quantum Systems, Volume 1

    Manuel Valiente, N. T. Zinner

    Book20232 citations
    ABI

  16. On the discrete spectrum of the Schrödinger operator using the 2+1 fermionic trimer on the lattice

    A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20231 citations
    ABI