Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accuracy of the time-dependent Hartree-Fock approximation   This article examines the time-dependent Hartree-Fock (TDHF) approximation of
single-particle dynamics in systems of interacting fermions. We find the TDHF
approximation to be accurate when there are sufficiently many particles and the
initial many-particle state is a Slater determinant, or any Gibbs equilibrium
state for noninteracting fermions. Assuming a bounded two-particle interaction,
we obtain a bound on the error of the TDHF approximation, valid for short
times. We further show that the error of the the TDHF approximation vanishes at
all times in the mean field limit.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con