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TMF, 2016, Volume 189, Number 3, Pages 446–452 (Mi tmf9172)  

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

N. N. Bogolyubov (Jr.)a, M. Yu. Rasulovab, U. A. Avazovb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

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.

Keywords: generalized Yukawa potential, screened Coulomb potential, Debye–Hückel potential, Yukawa potential, BBGKY chain of quantum kinetic equations

Funding Agency Grant Number
Committee for coordination science and technology development under the Cabinet of Ministers of Uzbekistan Ф2-ФА-Ф116
The research of M. Yu. Rasulova and U. A. Avazov was performed at the Institute of Nuclear Physics of the Uzbekistan Academy of Sciences and supported by the Committee for Coordination of Science and Technology Development of Uzbekistan (Grant No. F2-FA-A116).


DOI: https://doi.org/10.4213/tmf9172

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English version:
Theoretical and Mathematical Physics, 2016, 189:3, 1790–1795

Bibliographic databases:

Document Type: Article
Received: 26.02.2016
Revised: 24.03.2016

Citation: N. N. Bogolyubov (Jr.), M. Yu. Rasulova, U. A. Avazov, “Evolution of a quantum system of many particles interacting via the generalized Yukawa potential”, TMF, 189:3 (2016), 446–452; Theoret. and Math. Phys., 189:3 (2016), 1790–1795

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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