Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extended Vlasov equation with pairing correlations   A simplified version of the Wigner--transformed time--dependent
Hartree--Fock--Bogoliubov equations, leading to a solvable model for finite
systems of fermions with pairing correlations, is introduced. In this model,
pairing correlations result in a coupling of the Vlasov--type equation for the
normal phase--space density with that for the imaginary part of the anomalous
density. The effect of pairing correlations on the linear response of the
system is studied for a finite one--dimensional system and an explicit
expression for the correlated propagator is given.

8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat