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

N. N. Bogoliubov; M. Yu. Rasulova; U. A. Avazov

doi:10.1134/S0040577916120102

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

作者: Bogoliubov N.N.¹, Rasulova M.Y.², Avazov U.A.²
隶属关系:
1. Steklov Mathematical Institute of Russian Academy of Sciences
2. Institute of Nuclear Physics
期: 卷 189, 编号 3 (2016)
页面: 1790-1795
栏目: Article
URL: https://journals.rcsi.science/0040-5779/article/view/170891
DOI: https://doi.org/10.1134/S0040577916120102
ID: 170891

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详细

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.