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arxiv: 1002.1490 · v1 · pith:Z3OFZ5AWnew · submitted 2010-02-07 · 🧮 math-ph · math.MP

BBGKY Hierarchy and Dynamics of Correlations

classification 🧮 math-ph math.MP
keywords hierarchybbgkyoperatorsbosecasecauchyconstructedcorrelation
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We derive the BBGKY hierarchy for the Fermi and Bose many-particle systems, using the von Neumann hierarchy for the correlation operators. The solution of the Cauchy problem of the formulated hierarchy for the case of a n-body interaction potential is constructed in the space of sequences of trace-class operators.

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