Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Taming the divergent terms that occur during adiabatic switching in
  perturbation theory   A potential problem with adiabatic switching in perturbation theory is that
divergent terms appear in the series solution. An example of this was presented
by C. Brouder et al [4] for a simple 2 state system where the evolution of
system in the presence of a time dependent perturbation was considered. One of
their results is that the evolution operator has no well-defined limit for
adiabatic switching. We will rework this problem to show that for adiabatic
switching the evolved states are well-defined with any divergences being
absorbed in a time independent phase factor which can be removed. These results
will then be applied to the more general problem of a system with an arbitrary
number of states. It will be shown that for this case, also, the potentially
divergent terms all appear in a time-independent phase factor.

27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom