Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizing holonomic constraints in classical and quantum mechanics   We consider the problem of constraining a particle to a submanifold Sigma of
configuration space using a sequence of increasing potentials. We compare the
classical and quantum versions of this procedure. This leads to new results in
both cases: an unbounded energy theorem in the classical case, and a quantum
averaging theorem. Our two step approach, consisting of an expansion in a
dilation parameter, followed by averaging in normal directions, emphasizes the
role of the normal bundle of Sigma, and shows when the limiting phase space
will be larger (or different) than expected.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess