Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The canonical connection in quantum mechanics   In this paper we investigate the form of induced gauge fields that arises in
two types of quantum systems. In the first we consider quantum mechanics on
coset spaces G/H, and argue that G-invariance is central to the emergence of
the H-connection as induced gauge fields in the different quantum sectors. We
then demonstrate why the same connection, now giving rise to the non-abelian
generalization of Berry's phase, can also be found in systems which have slow
variables taking values in such a coset space.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th