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BBGKY hierarchy and its evolution operator for one class of integrable systems

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Abstract

We define the abstract BBGKY hierarchy and its formal evolution operator. The existence of the latter is established in a special Banach space for a system of charged particles with Chern-Simons interaction regularized for small and large distances. An analog of the high-temperature expansion of equilibrium statistical mechanics is applied.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    W. I. Skrypnik

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  1. W. I. Skrypnik
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 6, pp. 853–858, June, 1995.

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Skrypnik, W.I. BBGKY hierarchy and its evolution operator for one class of integrable systems. Ukr Math J 47, 982–988 (1995). https://doi.org/10.1007/BF01058787

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  • DOI: https://doi.org/10.1007/BF01058787

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