Reduced Statistical Density Operators in Canonical and Grand Canonical Ensembles
نویسنده
چکیده
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 interacting many-body system. We discuss their possible solutions and applications. PACS 05.30.-d; 05.30.Fk; 05.30.Jp; 31.90.+s; 71.10.-w
منابع مشابه
Hierarchy Bloch Equations for the Reduced Statistical Density Operators in Canonical and Grand Canonical Ensembles
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 ...
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