Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the quantum Boltzmann equation   We give a nonrigorous derivation of the nonlinear Boltzmann equation from the
Schrodinger evolution of interacting fermions. The argument is based mainly on
the assumption that a quasifree initial state satisfies a property called
restricted quasifreeness in the weak coupling limit at any later time. By
definition, a state is called restricted quasifree if the four-point and the
eight-point functions of the state factorize in the same manner as in a
quasifree state.

0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys