Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative Renormalization in Quantum Mechanics   Some quantum mechanical potentials, singular at short distances, lead to
ultraviolet divergences when used in perturbation theory. Exactly as in quantum
field theories, but much simpler, regularization and renormalization lead to
finite physical results, which compare correctly to the exact ones. The Dirac
delta potential, because of its relevance to triviality, and the Aharonov-Bohm
potential, because ot its relevance to anyons, are used as examples here.

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th