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Works cited by this work

42 works

Work: A chain of kinetic equations of Bogoliubov–Born–Green–Kirkwood–Yvon and its application to nonequilibrium complex systems

  1. Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

    Elliott H. Lieb, Werner Liniger

    Article196323 citations
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  2. Introduction to Solid State Physics

    C. Kittel, D. L. Dexter

    Article195318 citations
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  3. Perturbation theory for linear operators

    Tosio Kato

    Book196610 citations
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  4. Statistical Mechanics: Rigorous Results

    David Ruelle

    Book196910 citations
    ABI

  5. Semigroups of Linear Operators and Applications to Partial Differential Equations

    A. Pazy

    Book198310 citations
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  6. Bose–Einstein Condensation in Dilute Gases

    C. J. Pethick, H. Smith

    Book20088 citations
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  7. Untitled

    Other6 citations
    ABI

  8. Lectures on Quantum Statistics

    W. Ebeling, Thorsten Pöschel

    Book20196 citations
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  9. Bose-Einstein condensation in magnetic traps. Introduction to the theory

    Лев П. Питаевский

    Article19985 citations
    ABI

  10. The Solution of Quantum Kinetic Equation with Delta Potential and its Application for Information Technology

    M. Yu. Rasulova

    Article20184 citations
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  11. The Statistical Mechanical Theory of Transport Processes I. General Theory

    John G. Kirkwood

    Article19463 citations
    ABI

  12. On solutions of Bogolyubov's kinetic equations quantum statistics

    D. Ya. Petrina

    Article19723 citations
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  13. The cauchy problem for BBGKY hierarchy of quantum kinetic equations with coulomb potential

    Martin Brokate, M. Yu. Rasulova

    ArticleAdvanced Mathematical Physics ProblemsPhysics of Particles and Nuclei20102 citations
    ABI

  14. Untitled

    Other2 citations
    ABI

  15. Coexistence of “bogolons” and the single-particle excitation spectrum with a gap in the degenerate Bose gas

    В. Б. Бобров, S. A. Trigger, I. M. Yurin

    Article20102 citations
    ABI

  16. Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems

    László Erdős, Benjamin Schlein, Horng‐Tzer Yau

    Article20062 citations
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  17. Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate

    László Erdős, Benjamin Schlein, Horng‐Tzer Yau

    Article20062 citations
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  18. Bose–Einstein condensate wave function and nonlinear Schrödinger equation

    В. Б. Бобров, S. A. Trigger

    Article20162 citations
    ABI

  19. The Cauchy Problem for the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Coulomb Potential

    Nikolai N. Bogolubov, M. Yu. Rasulova

    Article20162 citations
    ABI

  20. Another approach for obtaining the excitation spectra in degenerate Bose gases with delta-shaped interaction potentials

    В. Б. Бобров, А. G. Zagorodny, S. A. Trigger

    Article20172 citations
    ABI

  21. Untitled

    Other2 citations
    ABI

  22. From the N-body Schrödinger Equation to the Quantum Boltzmann Equation: a Term-by-Term Convergence Result in the Weak Coupling Regime

    Dario Benedetto, F. Castella, R. Esposito +1

    Article20072 citations
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  23. Steady solutions of the BBGKY hierarchy and first integrals of the motion of a system of classical particles One-dimensional case

    Yu. M. Sukhov

    Article19832 citations
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  24. Evolution of perturbations of equilibrium solutions of the Bogolyubov (BBGKY) kinetic equations

    M. Yu. Rasulova

    Article19802 citations
    ABI

  25. Modeling quantum processes in classical molecular dynamics simulations of dense plasmas

    Stefan P. Hau‐Riege, Jon C. Weisheit, J. Castor +3

    Article20132 citations
    ABI