Geodesic
On solutions of Bogolyubov's kinetic equations quantum statistics
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 391-405 
D. Ya. Petrina. On solutions of Bogolyubov's kinetic equations quantum statistics. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 391-405. http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Bogolyubov's kinetic equations are studied for quantum statistics. A method proposed by Bogolyubov is used to investigate the solutions of the kinetic equations in a Banach space consisting of sequences of nuclear operators in the state space. This makes it possible to construct solutions of the kinetic equations in a finite volume for physically meaningful initial conditions. Weak, or smeared, solutions are constructed in the space of bounded operators.

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