Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The reduced Hartree-Fock model with self-generated magnetic fields   We study the well-posedness of the reduced Hartree-Fock model for molecules
and perfect crystals when taking into account a self-generated magnetic field.
We exhibit a critical value $\alpha_c > 0$ such that, if the fine structure
constant $\alpha$ is smaller than $\alpha_c$, then the corresponding system is
stable, whereas if $\alpha$ is greater than $\alpha_c$, it is unstable. We give
an explicit characterisation of $\alpha_c$ as a minimisation problem over the
set of zero-modes, and we prove that the critical values for the molecular case
and the periodic case coincide. Finally, we prove the existence of minimisers
when the system is neutral or positively charged.

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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int