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Works cited by this work

29 works

Work: The Threshold Effects for the Two-Particle Hamiltonians on Lattices

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
    ABI

  2. Methods of Modern Mathematical Physics

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  3. 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

  4. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
    ABI

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

    S. N. Lakaev

    Article199366 citations
    ABI

  6. ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

    D R Jafaev

    Article197459 citations
    ABI

  7. Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

    A. Mogilner

    Other199157 citations
    ABI

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

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

    Article200251 citations
    ABI

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

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 citations
    ABI

  10. The Efimov effect of three-body Schrödinger operators

    Hideo Tamura

    Article199135 citations
    ABI

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

    Martin Klaus, Barry Simon

    Article198027 citations
    ABI

  12. The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues

    Hideo Tamura

    Article199324 citations
    ABI

  13. A class of exactly solvable three-body quantum mechanical problems and the universal low energy behavior

    Sergio Albeverio, Raphaël Høegh-Krohn, Tai Tsun Wu

    Article198124 citations
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  14. Scattering Theory: Some Old and New Problems

    Dmitri R. Yafaev

    Book200021 citations
    ABI

  15. 2-magnon scattering in the Heisenberg model

    Gian Michele Graf, Daniel Schenker

    Article199718 citations
    ABI

  16. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Article198018 citations
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  17. Solvable Models in Quantum Mechanics

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

    Book198815 citations
    ABI

  18. Methods of modern mathematical physics. III. Scattering theory

    Michael C. Reed, Barry Simon

    Article197913 citations
    ABI

  19. The low energy expansion in nonrelativistic scattering theory

    Sergio Albeverio, Fritz Gesztesy, Raphaël Høegh-Krohn

    Article19828 citations
    ABI

  20. Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions

    Christian Berg, Jens Peter Christensen, Paul Ressel

    Book19845 citations
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  21. Two-Particle Spectrum of the Generator for Stochastic Model of Planar Rotators at High Temperatures

    Е. А. Zhizhina

    Article19984 citations
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  22. Spectral properties of Schrödinger operators and time-decay of the wave functions

    Arne Jensen, Tosio Kato

    Article19794 citations
    ABI

  23. One-particle subspaces in the stochasticXY model

    Yu. G. Kondratiev, R. A. Minlos

    Article19974 citations
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  24. On the Spectrum of the Generator of an Infinite System of Interacting Diffusions

    R. A. Minlos, Yu. M. Suhov

    Article19994 citations
    ABI

  25. The virtual level of the Schr�dinger equation

    D. R. Yafaev

    Article19794 citations
    ABI