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Evolution of a quantum system of many particles interacting via the generalized Yukawa potential

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Abstract

We study the evolution of a system of N particles that have identical masses and charges and interact via the generalized Yukawa potential. The system is placed in a bounded region. The evolution of such a system is described by the Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) chain of quantum kinetic equations. Using semigroup theory, we prove the existence of a unique solution of the BBGKY chain of quantum kinetic equations with the generalized Yukawa potential.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    N. N. Bogoliubov

  2. Institute of Nuclear Physics, Uzbekistan Academy of Sciences, Ulugbek, Tashkent, Uzbekistan

    M. Yu. Rasulova & U. A. Avazov

Authors
  1. N. N. Bogoliubov
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  2. M. Yu. Rasulova
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  3. U. A. Avazov
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Corresponding author

Correspondence to N. N. Bogoliubov.

Additional information

The research of M. Yu. Rasulova and U. A. Avazov was performed at the Institute of Nuclear Physics of the Uzbekistan Academy of Sciences and supported by the Committee for Coordination of Science and Technology Development of Uzbekistan (Grant No. F2-FA-A116).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 189, No. 3, pp. 446–452, December, 2016.

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Bogoliubov, N.N., Rasulova, M.Y. & Avazov, U.A. Evolution of a quantum system of many particles interacting via the generalized Yukawa potential. Theor Math Phys 189, 1790–1795 (2016). https://doi.org/10.1134/S0040577916120102

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  • DOI: https://doi.org/10.1134/S0040577916120102

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