Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Particle in a box with a delta-function potential: strong and weak
  coupling limits   A particle in a one-dimensional delta-function potential and particle in a
box are two well-known pedagogical examples; their combination, particle in a
box with a delta-function potential V_\lambda(x)=\lambda\delta(x-x_0), too, has
been recently explored. We point out that it provides a unique example that is
solvable in the weak (\lambda->0) and the strong (1/\lambda->0) coupling
limits. In either limit, the attractive and repulsive potentials lead to
identical spectra, with the possible exception of a single negative-energy
state that is present when the potential is attractive. We numerically obtain
the spectra near the strong-coupling limit and discuss the consequences of the
degeneracy that arises when 1/|\lambda|=0.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas