Evolution of a quantum system of many particles interacting via the generalized Yukawa potential
N. N. Bogoli︠u︡bovSteklov Mathematical InstituteM. Yu. RasulovaInstitute of Nuclear Physics, Uzbekistan Academy of Sciences, Ulugbek, Tashkent, UzbekistanUmarbek AvazovInstitute of Nuclear Physics, Uzbekistan Academy of Sciences, Ulugbek, Tashkent, Uzbekistan
ABI
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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