Geodesic
Cauchy problem for the BBGKY hierarchy. One-dimensional quantum lattice systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 353-358

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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. 
@article{TMF_1979_39_3_a6,
     author = {A. K. Vidybida},
     title = {Cauchy problem for the {BBGKY} hierarchy. {One-dimensional} quantum lattice systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {353--358},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a6/}
}
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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/