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


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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.

Sobre autores

N. Bogoliubov

Steklov Mathematical Institute of Russian Academy of Sciences

Autor responsável pela correspondência
Email: bogolubv@mi.ras.ru
Rússia, Moscow

M. Rasulova

Institute of Nuclear Physics

Email: bogolubv@mi.ras.ru
Uzbequistão, Ulugbek, Tashkent

U. Avazov

Institute of Nuclear Physics

Email: bogolubv@mi.ras.ru
Uzbequistão, Ulugbek, Tashkent

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