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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 13, Number 3, Pages 391–405
(Mi tmf3276)
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This article is cited in 12 scientific papers (total in 12 papers)
On solutions of Bogolyubov's kinetic equations quantum statistics
D. Ya. Petrina
Abstract:
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.
Received: 23.12.1971
Citation:
D. Ya. Petrina, “On solutions of Bogolyubov's kinetic equations quantum statistics”, TMF, 13:3 (1972), 391–405; Theoret. and Math. Phys., 13:3 (1972), 1218–1228
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https://www.mathnet.ru/eng/tmf3276 https://www.mathnet.ru/eng/tmf/v13/i3/p391
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Abstract page: | 302 | Full-text PDF : | 108 | References: | 41 | First page: | 1 |
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