This article is cited in 2 papers

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

N. N. Bogolyubov (Jr.)^a, M. Yu. Rasulova^b, U. A. Avazov<sup>b

a</sup> Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
^b Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

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.

Keywords: generalized Yukawa potential, screened Coulomb potential, Debye–Hückel potential, Yukawa potential, BBGKY chain of quantum kinetic equations.

Received: 26.02.2016
Revised: 24.03.2016

DOI: 10.4213/tmf9172

 English version: Theoretical and Mathematical Physics, 2016, 189:3, 1790–1795

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