Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 the analogous Bloch equation and the corresponding
hierarchy reduced equations for the identical interacting many-body system. We
discuss their possible solutions and applications.

1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex