Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse Beam Dynamics including Aberration Effects in the Thermal
  Wave Model using a Functional Method   We studied the transverse beam dynamics including aberration effects of
sextupole and octupole perturbations in a thermal wave model. A functional
integration method was used to calculate the first-order perturbation effects.
We found that the model successfully explains a PARMILA simulation results for
proton beams without space-charge effects in a FODO lattice.

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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ