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Quantum Mechanics and Non-Hermitian Physics

158 works

  1. Non-Hermitian Star-shaped Quantum Graphs

    Miloslav Znojil

    PreprintSpectral Theory in Mathematical PhysicsActa Polytechnica20130 citations
    ABI

  2. THE COUPLED-CLUSTER APPROACH TO QUANTUM MANY-BODY PROBLEM IN A THREE-HILBERT-SPACE REINTERPRETATION

    Raymond F. Bishop, Miloslav Znojil

    ArticleQuantum Mechanics and Non-Hermitian PhysicsActa Polytechnica20140 citations
    ABI

  3. Resonances in Quantum Networks and Their Generalizations

    Pavel Exner

    ChapterSpectral Theory in Mathematical PhysicsNATO science for peace and security series. C, Environmental security20140 citations
    ABI

  4. The relativistic inverse scattering problem for quantum graphs

    K.K. Sabirov, Z. A. Sobirov, О. В. Карпова +1

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20150 citations
    ABI

  5. Elements of spectral theory without the spectral theorem

    David Krejčiřı́k, Petr Siegl

    OtherSpectral Theory in Mathematical Physics20150 citations
    ABI

  6. Coupled oscillators with parity-time symmetry

    E. N. Tsoy

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysics Letters A20160 citations
    ABI

  7. Optical solitons in periodically managed PT-symmetric media

    F. Kh. Abdullaev, R. M. Galimzyanov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsOptik20170 citations
    ABI

  8. Quantum graphs with the Bethe-Sommerfeld property

    P. Exner, O. Turek

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20170 citations
    ABI

  9. Stationary wave packets in the Kerr nonlinear media with imaginary harmonic potential and linear gain

    F. Kh. Abdullaev, R. M. Galimzyanov

    ArticleNonlinear Waves and SolitonsPhysics Letters A20180 citations
    ABI

  10. Divergence of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>〈</mml:mo> <mml:msup> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> <mml:mo>〉</mml:mo> </mml:math> in discontinuous potential wells

    Zafar Ahmed, Sachin Kumar, D. C. Ghosh +1

    ArticleStatistical Mechanics and EntropyEuropean Journal of Physics20180 citations
    ABI

  11. Beam dynamics in quadratically nonlinear waveguides with gain and losses

    E. N. Tsoy, F. Kh. Abdullaev, V. E. Eshniyazov

    ArticleNonlinear Photonic SystemsPhysical review. A/Physical review, A20180 citations
    ABI

  12. The fundamental equation of the field theory in De Sitter pulse space

    Rustam Ibadov, Sardor Murodov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysical Sciences and Technology20190 citations
    ABI

  13. Dissipative flow equations

    Lorenzo Rosso, Fernando Iemini, Marco Schirò +1

    ArticleQuantum Mechanics and Non-Hermitian PhysicsSciPost Physics20200 citations
    ABI

  14. Dynamics and nonlinear modes of nonlinear saturable PT-symmetric coupler

    F. Kh. Abdullaev, A. A. Abdumalikov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsOptik20200 citations
    ABI

  15. Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice

    Hiroshima, Fumio, Muminov, Zahriddin, Kuljanov, Utkir

    ArticleSpectral Theory in Mathematical PhysicsInstitutional Repositories DataBase (IRDB)20200 citations
    ABI

  16. On the spectrum of the many-body Pauli projector

    E. M. Tursunov

    ArticleCold Atom Physics and Bose-Einstein CondensatesPramana20210 citations
    ABI

  17. Dirac particles on periodic quantum graphs

    Jambul Yusupov, K.K. Sabirov, D. U. Matrasulov

    ArticleSpectral Theory in Mathematical PhysicsPhysical review. E20210 citations
    ABI

  18. Transparent relativistic quantum networks

    Sabirov Karimjon Kabildjanovich, Asadov Quvonchbek Urinovich

    ArticleTopological Materials and Phenomena2021 International Conference on Information Science and Communications Technologies (ICISCT)20210 citations
    ABI

  19. On the structure of the essential spectrum for discrete Schrödinger operators associated with three-particle system

    Sh. S. Lakaev, Tirkash Radjabov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20210 citations
    ABI

  20. Discrete Nonlocal Nonlinear Schrödinger Equation on Graphs: Dynamics of Pt-Symmetric Solitons in Discrete Networks

    M. Akramov, Feruza Khashimova, D. U. Matrasulov

    ArticleNonlinear Photonic SystemsSSRN Electronic Journal20220 citations
    ABI

  21. Traveling Wave Solutions of the Loaded Non-linear Klein-Gordon Equation via Functional Variable Method

    Bazar Babajanov, Fakhriddin Abdikarimov

    PreprintNonlinear Waves and SolitonsPreprints.org20220 citations
    ABI

  22. Virtual perfect absorption in resonant media and their <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric generalizations

    Denis V. Novitsky, Alexander S. Shalin

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysical review. A/Physical review, A20230 citations
    ABI

  23. On a relativistic quark model description via the fractional Nikiforov–Uvarov method

    M. Abu‐Shady, Mohammed K. A. Kaabar

    ArticleQuantum Mechanics and Non-Hermitian PhysicsInternational Journal of Modern Physics A20230 citations
    ABI

  24. On the Integration of the Higher Order Toda Lattice with a Self-Consistent Integral Type Source

    Bazar Babajanov, Murod Ruzmetov

    ArticleNonlinear Photonic SystemsContemporary Mathematics20230 citations
    ABI

  25. Euler type integral representations for the Kampé de Fériet functions

    Tuhtasin Ergashev, Anvardjan Hasanov, T. K. Yuldashev

    ArticleMathematical functions and polynomialsUkrainian Mathematical Bulletin20230 citations
    ABI