Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetic Energy Estimates for the Accuracy of the Time-Dependent
  Hartree-Fock Approximation with Coulomb Interaction   We study the time evolution of a system of $N$ spinless fermions in
$\mathbb{R}^3$ which interact through a pair potential, e.g., the Coulomb
potential. We compare the dynamics given by the solution to Schr{\"o}dinger's
equation with the time-dependent Hartree-Fock approximation, and we give an
estimate for the accuracy of this approximation in terms of the kinetic energy
of the system. This leads, in turn, to bounds in terms of the initial total
energy of the system.

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The categories of this paper are: q-fin
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat