Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical analysis for a Schr\"odinger operator with a U(2)
  artificial gauge: the periodic case   We consider a Schr\"odinger operator with a Hermitian 2x2 matrix-valued
potential which is lattice periodic and can be diagonalized smoothly on the
whole $R^n.$ In the case of potential taking its minimum only on the lattice,
we prove that the well-known semiclassical asymptotic of first band spectrum
for a scalar potential remains valid for our model.

15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
19
The categories of this paper are: eess
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org