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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 3, Pages 446–452
DOI: https://doi.org/10.4213/tmf9172 (Mi tmf9172) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
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DOI: https://doi.org/10.4213/tmf9172
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).
Received: 26.02.2016
Revised: 24.03.2016
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 3, Pages 1790–1795
DOI: https://doi.org/10.1134/S0040577916120102
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9172
  • https://www.mathnet.ru/eng/tmf/v189/i3/p446
    • This publication is cited in the following 1 articles:
    1. Nikolai (Jr) Bogoliubov, Mukhayo Yunusovna Rasulova, Tohir Vohidovich Akramov, Umarbek Avazov, Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems, 2022, 201  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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