Email this article Evolution of a quantum system of many particles interacting via the generalized Yukawa potential
- Authors: Bogoliubov N.N.1, Rasulova M.Y.2, Avazov U.A.2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institute of Nuclear Physics
- Issue: Vol 189, No 3 (2016)
- Pages: 1790-1795
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170891
- DOI: https://doi.org/10.1134/S0040577916120102
- ID: 170891
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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.
About the authors
N. N. Bogoliubov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: bogolubv@mi.ras.ru
Russian Federation, Moscow
M. Yu. Rasulova
Institute of Nuclear Physics
Email: bogolubv@mi.ras.ru
Uzbekistan, Ulugbek, Tashkent
U. A. Avazov
Institute of Nuclear Physics
Email: bogolubv@mi.ras.ru
Uzbekistan, Ulugbek, Tashkent
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