Geodesic
Evolution of a~quantum system of many particles interacting via the~generalized Yukawa potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 446-452

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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. 
@article{TMF_2016_189_3_a9,
     author = {N. N. Bogolyubov (Jr.) and M. Yu. Rasulova and U. A. Avazov},
     title = {Evolution of a~quantum system of many particles interacting via the~generalized {Yukawa} potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {446--452},
     publisher = {mathdoc},
     volume = {189},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a9/}
}
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N. N. Bogolyubov (Jr.); M. Yu. Rasulova; U. A. Avazov. Evolution of a~quantum system of many particles interacting via the~generalized Yukawa potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 446-452. http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a9/