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Works cited by this work

33 works

Work: Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

  1. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
    ABI

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

    S. N. Lakaev

    Article199366 citations
    ABI

  3. The bound state of weakly coupled Schrödinger operators in one and two dimensions

    Barry Simon

    Article197630 citations
    ABI

  4. On the bound state of Schrödinger operators in one dimension

    Martin Klaus

    Article197730 citations
    ABI

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

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  6. Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
    ABI

  7. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  8. On the perturbation of continuous spectra

    Kurt Friedrichs

    Article194819 citations
    ABI

  9. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Article198018 citations
    ABI

  10. Some spectral properties of the generalized Friedrichs model

    S. N. Lakaev

    Article198918 citations
    ABI

  11. Bound states and resonances ofN-particle discrete Schrödinger operator

    S. N. Lakaev

    Article199218 citations
    ABI

  12. The threshold effects for a family of Friedrichs models under rank one perturbations

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications200616 citations
    ABI

  13. 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

  14. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles

    Sergio Albeverio, S. N. Lakaev, Ramiza Kh. Djumanova

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 citations
    ABI

  15. Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics

    D. K. Gridnev

    Article20148 citations
    ABI

  16. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One

    S. N. Lakaev, Arsmah Ibrahim, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsAbstract and Applied Analysis20126 citations
    ABI

  17. Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1

    S. N. Lakaev, Maslina Darus, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical20135 citations
    ABI

  18. The Friedrichs model and its use in resonance phenomena

    M. Gadella, G.P. Pronko

    Article20114 citations
    ABI

  19. 1 The Friedrichs Model and its use in resonance phenomena.

    M. Gadella, G. Pronko

    Article20114 citations
    ABI

  20. The symmetry and Efimov's effect in systems of three-quantum particles

    Semjon Vugalter, G. M. Zhislin

    Article19823 citations
    ABI

  21. Super Efimov Effect of Resonantly Interacting Fermions in Two Dimensions

    Yusuke Nishida, Sergej Moroz, D. Son

    Article20133 citations
    ABI

  22. Coupling constant thresholds of perturbed periodic Hamiltonians

    Silvestro Fassari, Martin Klaus

    Article19983 citations
    ABI

  23. On the convexity of the sum of the first eigenvalues of operators depending on a real parameter

    Miriam Bareket

    Article19812 citations
    ABI

  24. The Detectable Subspace for the Friedrichs Model

    B. M. Brown, M. Marletta, S. Naboko +1

    Article20192 citations
    ABI

  25. THE FRIEDRICHS-MODEL WITH FERMION-BOSON COUPLINGS II

    O. Civitarese, M. Gadella, G. P. Pronko

    Article20072 citations
    ABI