Hierarchy Bloch equations for the reduced statistical density operators in canonical and grand canonical ensembles

Liqiang Wei and Chiachung Sun

Physica A: Statistical Mechanics and its Applications, 2004, vol. 334, issue 1, 144-150

Abstract: Starting from Bloch equation for a canonical ensemble, we deduce a set of hierarchy equations for the reduced statistical density operator for an identical many-body system with two-body interaction. They provide a law according to which the reduced density operator varies in temperature. By definition of the reduced density operator in Fock space for a grand canonical ensemble, we also obtain the analogous Bloch equation and the corresponding hierarchy reduced equations for the identical and interacting many-body system. We discuss their possible solutions and applications.

Keywords: Reduced Bloch equations; Reduced density matrix; Identical particles; Canonical ensemble; Grand canonical ensemble (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:334:y:2004:i:1:p:144-150

DOI: 10.1016/j.physa.2003.10.072

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