Evolution of Correlations of Many-Particle Quantum Systems in Condensed States

@inproceedings{Gerasimenko2018EvolutionOC,
  title={Evolution of Correlations of Many-Particle Quantum Systems in Condensed States},
  author={Viktor Gerasimenko},
  year={2018}
}
We review some new approaches to the description of the evolution of states of many-particle quantum systems by means of the correlation operators. Using the denition of marginal correlation operators within the framework of dynamics of correlations governed by the von Neumann hierarchy, we establish that a sequence of such operators is governed by the nonlinear quantum BBGKY hierarchy. The constructed nonperturbative solution of the Cauchy problem to this hierarchy of nonlinear evolution… 
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