Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of the extent of the eigenstates of a system on the resonances
  formed through its coupling to a field   We examine resonances for two systems consisting of a particle coupled to a
massless boson's field. The field is the free field in the whole space. In the
first system, the particle is confined inside a ball. We show that besides the
usual energy levels of the particle, which have become complex through the
coupling to the field, other resonances are to be taken into account if the
ball's radius is comparable to the particle's Compton wavelength. In the second
system, the particle is in a finite-depth square-well potential. We study the
way the resonances' width depends on the extent of the uncoupled particle's
wave functions. In both cases, we limit ourselves to considering two levels of
the particle only.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom