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Работы, на которые ссылается эта работа

Работ: 38

Работа: On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Статья1986Цитирований: 101
    ABI

  2. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    СтатьяSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics2005Цитирований: 76
    ABI

  3. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Статья1993Цитирований: 74
    ABI

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

    S. N. Lakaev

    Статья1993Цитирований: 66
    ABI

  5. Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians

    Paulo A. Faria da Veiga, L. Ioriatti, Michael O’Carroll

    Статья2002Цитирований: 51
    ABI

  6. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Книга1993Цитирований: 50
    ABI

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

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Статья1979Цитирований: 49
    ABI

  8. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Статья2006Цитирований: 40
    ABI

  9. The Efimov effect of three-body Schrödinger operators

    Hideo Tamura

    Статья1991Цитирований: 35
    ABI

  10. Ultracold quantum gases in optical lattices

    Immanuel Bloch

    Статья2005Цитирований: 27
    ABI

  11. Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

    S. N. Lakaev, Shokhrukh Yu. Kholmatov, Shakhobiddin I Khamidov

    Статья2021Цитирований: 26
    ABI

  12. The cold atom Hubbard toolbox

    D. Jaksch, P. Zoller

    Статья2004Цитирований: 25
    ABI

  13. Без названия

    ДругоеЦитирований: 25
    ABI

  14. Bounds on the discrete spectrum of lattice Schrödinger operators

    V. Bach, W. de Siqueira Pedra, S. N. Lakaev

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics2018Цитирований: 24
    ABI

  15. Cold Bosonic Atoms in Optical Lattices

    Dieter Jaksch, Christoph Bruder, J. I. Cirac +2

    Статья1998Цитирований: 22
    ABI

  16. 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

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical2011Цитирований: 22
    ABI

  17. Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    СтатьяSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra2020Цитирований: 21
    ABI

  18. On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice

    M. I. Muminov, A.M. Khurramov, I. N. Bozorov

    СтатьяQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics2023Цитирований: 15
    ABI

  19. Solvable Models in Quantum Mechanics

    Sergio Albeverio, Friedrich Gesztesy, Raphaël Høegh-Krohn +1

    Книга1988Цитирований: 15
    ABI

  20. Perturbation of a lattice spectral band by a nearby resonance

    А. К. Мотовилов, W. Sandhas, V.B. Belyaev

    Статья2001Цитирований: 14
    ABI

  21. The Existence and location of eigenvalues of the one particle Hamiltonians on lattices

    Saidalhmat Lakaev

    Статья2016Цитирований: 12
    ABI

  22. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    СтатьяCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical2023Цитирований: 11
    ABI

  23. Monotonicity of the eigenvalues of the two-particle Schrödinger operatoron a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, L.S. Usmonov

    СтатьяSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics2021Цитирований: 7
    ABI

  24. High-Temperature Superfluidity of Fermionic Atoms in Optical Lattices

    Walter Hofstetter, J. I. Cirac, P. Zoller +2

    Статья2002Цитирований: 7
    ABI

  25. Window-coupled nanolayers: window shape influence on one-particle and two-particle eigenstates

    Alexander Bagmutov, I. Yu. Popov

    Статья2020Цитирований: 7
    ABI