Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical tunneling and magnetic flux effects on the circle   This paper is devoted to semiclassical tunneling estimates induced on the
circle by a double well electric potential in the case when a magnetic field is
added. When the two electric wells are connected by two geodesics for the Agmon
distance, we highlight an oscillating factor (related to the circulation of the
magnetic field) in the splitting estimate of the first two eigenvalues.

34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph