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BBGKY Hierarchy and Dynamics of Correlations

Polishchuk, D.O.

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Abstract

We derive the BBGKY hierarchy for the Fermi and Bose manyparticle systems, using the von Neumann hierarchy for the correlation operators. The solution of the Cauchy problem of the formulated hierarchy in the case of an n-body interaction potential is constructed in the space of sequences of trace-class operators.

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Key concepts: BBGKY hierarchy, Hierarchy, Statistical physics, Mathematics, Class (philosophy), TRACE (psycholinguistics), Pure mathematics, Physics