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

Author

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  • Wei, Liqiang
  • Sun, Chiachung

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.

Suggested Citation

  • Wei, Liqiang & Sun, Chiachung, 2004. "Hierarchy Bloch equations for the reduced statistical density operators in canonical and grand canonical ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 144-150.
    • Handle: RePEc:eee:phsmap:v:334:y:2004:i:1:p:144-150
    DOI: 10.1016/j.physa.2003.10.072
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