Evolution of a quantum system of many particles interacting via the generalized Yukawa potential |
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| Authors: | N N Bogoliubov M Yu Rasulova U A Avazov |
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| Institution: | 1.Steklov Mathematical Institute of Russian Academy of Sciences,Moscow,Russia;2.Institute of Nuclear Physics,Uzbekistan Academy of Sciences,Ulugbek, Tashkent,Uzbekistan |
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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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