Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic approximation in the second quantized formulation   Recently there have been some controversies about the criterion of the
adiabatic approximation. It is shown that an approximate diagonalization of the
effective Hamiltonian in the second quantized formulation gives rise to a
reliable and unambiguous criterion of the adiabatic approximation. This is
illustrated for the model of Marzlin and Sanders and a model related to the
geometric phase which can be exactly diagonalized in the present sense.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas