Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Landau Levels of Scalar QED in Time-Dependent Magnetic Fields   The Landau levels of scalar QED undergo continuous transitions under a
homogeneous, time-dependent magnetic field. We analytically formulate the
Klein-Gordon equation for a charged spinless scalar as a Cauchy initial value
problem in the two-component first order formalism and then put forth a measure
that classifies the quantum motions into the adiabatic change, the nonadiabatic
change, and the sudden change. We find the exact quantum motion and calculate
the pair-production rate when the magnetic field suddenly changes as a step
function.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga