Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization in Nonrelativistic Quantum Mechanics   The importance and usefulness of renormalization are emphasized in
nonrelativistic quantum mechanics. The momentum space treatment of both
two-body bound state and scattering problems involving some potentials singular
at the origin exhibits ultraviolet divergence. The use of renormalization
techniques in these problems leads to finite converged results for both the
exact and perturbative solutions. The renormalization procedure is carried out
for the quantum two-body problem in different partial waves for a minimal
potential possessing only the threshold behavior and no form factors. The
renormalized perturbative and exact solutions for this problem are found to be
consistent with each other. The useful role of the renormalization group
equations for this problem is also pointed out.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph