Works cited by this work

25 works

Work: On the Spectrum of the Two-Particle Schrödinger Operator with Point Potential: Two Dimensional Case

1. The few-body problem on a lattice

   Daniel C. Mattis

   Article1986101 citations

   ABIABI:AkademIndex/openalex/2026.other.023779

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

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

   ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations

   ABIABI:AkademIndex/openalex/2005.article.000013

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

   A. Mogilner

   Other199157 citations

   ABIABI:AkademIndex/openalex/2026.other.155777

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

   Barry Simon

   Article197630 citations

   ABIABI:AkademIndex/openalex/2026.other.251738

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

   Martin Klaus

   Article197730 citations

   ABIABI:AkademIndex/openalex/2026.other.296089

6. Perturbation Theory for Linear Operators

   Tosio Kato

   Book199528 citations

   ABIABI:AkademIndex/openalex/2026.other.154613

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

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

   Article202126 citations

   ABIABI:AkademIndex/openalex/2026.other.245681

8. Untitled

   Other20 citations

   ABIABI:AkademIndex/openalex/2026.other.245682

9. On the Spectrum of the Two-particle Shrödinger Operator with Point Interaction

   Zahriddin Muminov, Уткир Кулжанов, Sh. S. Lakaev

   ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202118 citations

   ABIABI:AkademIndex/openalex/2021.article.000304

10. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Article198018 citations

    ABIABI:AkademIndex/openalex/2026.other.155775

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

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

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics202315 citations

    ABIABI:AkademIndex/openalex/2023.article.000543

12. The Number and Location of Eigenvalues of the Two Particle Discrete Schrödinger Operators

    I. N. Bozorov, Sh. I. Khamidov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202212 citations

    ABIABI:AkademIndex/openalex/2022.article.000417

13. Spectrum of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200811 citations

    ABIABI:AkademIndex/openalex/2008.article.000077

14. On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 citations

    ABIABI:AkademIndex/openalex/2022.article.000648

15. The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice

    A. M. Khalkhuzhaev, J. I. Abdullaev, J. Kh. Boymurodov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations

    ABIABI:AkademIndex/openalex/2022.article.000673

16. Theory of linear operators in Hilbert space

    Н. И. Ахиезер, I. M. Glazman

    Book19938 citations

    ABIABI:AkademIndex/openalex/2026.other.219161

17. The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20237 citations

    ABIABI:AkademIndex/openalex/2023.article.001292

18. Solvable Models in Quantum Mechanics

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

    Book20046 citations

    ABIABI:AkademIndex/openalex/2026.other.207909

19. On the Spectrum of Two-Particle Schrödinger Operator with Point Interaction

    Zahriddin Muminov, Уткир Кулжанов, Golibjon Ismoilov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20226 citations

    ABIABI:AkademIndex/openalex/2026.other.245687

20. The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

    A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20225 citations

    ABIABI:AkademIndex/openalex/2022.article.000534

21. On the Spectrum of the One-Particle Schrödinger Operator with Point Interaction

    Уткир Кулжанов, Zahriddin Muminov, Golibjon Ismoilov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20224 citations

    ABIABI:AkademIndex/openalex/2022.article.001100

22. On the spectrum of the two-particle Schrödinger operator with point potential: one dimensional case

    Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20234 citations

    ABIABI:AkademIndex/openalex/2023.article.001607

23. On the Spectrum of the Schrdinger Hamiltonian of the One-Dimensional Harmonic Oscillator Perturbed by Two Identical Attractive Point Interactions

    Silvestro Fassari, F. Rinaldi

    Article20124 citations

    ABIABI:AkademIndex/openalex/2026.other.219158

24. The Hamiltonian of the harmonic oscillator with an attractive $\delta ^{\prime} $-interaction centred at the origin as approximated by the one with a triple of attractive $\delta $-interactions

    Sergio Albeverio, Silvestro Fassari, F. Rinaldi

    Article20154 citations

    ABIABI:AkademIndex/openalex/2026.other.219164

25. On the spectrum of the Schrödinger Hamiltonian with a particular configuration of three one-dimensional point interactions

    Silvestro Fassari, F. Rinaldi

    Article20093 citations

    ABIABI:AkademIndex/openalex/2026.other.219156