Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of effective evolution equations from many body quantum
  dynamics   We review some recent results concerning the derivation of effective
evolution equations from first principle quantum dynamics. In particular, we
discuss the derivation of the Hartree equation for mean field systems and the
derivation of the Gross-Pitaevskii equation for the time evolution of
Bose-Einstein condensates.

5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat