Cauchy problem for the BBGKY hierarchy. One-dimensional quantum lattice systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 353-358 Cet article a éte moissonné depuis la source Math-Net.Ru

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A solution is found to the abstract Cauchy problem for the BBGKY hierarchy describing the dynamics of one-dimensional lattice systems. If consistency and positivity are satisfied for the initial data, they are conserved by the evolution in time.
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A. K. Vidybida. Cauchy problem for the BBGKY hierarchy. One-dimensional quantum lattice systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 353-358. http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a6/

[1] D. W. Robinson, Commun. Math. Phys., 7 (1968), 337 ; M. B. Ruskai, Commun. Math. Phys., 20 (1971), 193 | DOI | MR | Zbl | DOI | MR

[2] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 ; М. М. Боголюбов, Лекцiïз квантовоïстатистики, «Радянська школа», Киев, 1949 | MR

[3] I. M. Gelfand, N. Ya. Vilenkin, Obobschennye funktsii, vyp. 4, Fizmatgiz, 1961 | MR

[4] K. Iosida, Funktsionalnyi analiz, «Mir», 1967 | MR

[5] T. Kato, Teoriya vozmuschenii lineinykh operatorov, «Mir», 1972 | MR | Zbl

[6] D. Ya. Petrina, TMF, 4:3 (1970), 394 | MR | Zbl

[7] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, «Nauka», 1972 | MR

[8] V. I. Gerasimenko, D. Ya. Petrina, Preprint ITF-78-158E, Kiev, 1978 | MR