Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigorous Dynamics and Radiation Theory for a Pauli-Fierz Model in the
  Ultraviolet Limit   The present paper is devoted to the detailed study of quantization and
evolution of the point limit of the Pauli-Fierz model for a charged oscillator
interacting with the electromagnetic field in dipole approximation. In
particular, a well defined dynamics is constructed for the classical model,
which is subsequently quantized according to the Segal scheme. To this end, the
classical model in the point limit is reformulated as a second order abstract
wave equation, and a consistent quantum evolution is given. This allows a study
of the behaviour of the survival and transition amplitudes for the process of
decay of the excited states of the charged particle, and the emission of
photons in the decay process. In particular, for the survival amplitude the
exact time behaviour is found. This is completely determined by the resonances
of the systems plus a tail term prevailing in the asymptotic, long time regime.
Moreover, the survival amplitude exhibites in a fairly clear way the Lamb shift
correction to the unperturbed frequencies of the oscillator.

8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con