Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective density of states for a quantum oscillator coupled to a photon
  field   We give an explicit formula for the effective partition function of a
harmonically bound particle minimally coupled to a photon field in the dipole
approximation. The effective partition function is shown to be the Laplace
transform of a positive Borel measure, the effective measure of states. The
absolutely continuous part of the latter allows for an analytic continuation,
the singularities of which give rise to resonances. We give the precise
location of these singularities, and show that they are well approximated by of
first order poles with residues equal the multiplicities of the corresponding
eigenspaces of the uncoupled quantum oscillator. Thus we obtain a complete
analytic description of the natural line spectrum of the charged oscillator.

33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph