Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solutions of a particle in a box with a delta function potential:
  The factorization method   We use the factorization method to find the exact eigenvalues and
eigenfunctions for a particle in a box with the delta function potential
$V(x)=\lambda\delta(x-x_{0})$. We show that the presence of the potential
results in the discontinuity of the corresponding ladder operators. The
presence of the delta function potential allows us to obtain the full spectrum
in the first step of the factorization procedure even in the weak coupling
limit $\lambda\to 0$.

14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph