Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact WKB analysis of the vacuum pair production by time-dependent
  electric fields   We study the vacuum pair production by a time-dependent strong electric field
based on the exact WKB analysis. We identify the generic structure of a Stokes
graph for systems with the vacuum pair production and show that the number of
produced pairs is given by a product of connection matrices for Stokes segments
connecting pairs of turning points. We derive an explicit formula for the
number of produced pairs, assuming the semi-classical limit. The obtained
formula can be understood as a generalization of the divergent asymptotic
series method by Berry, and is consistent with other semi-classical methods
such as the worldline instanton method and the steepest descent evaluation of
the Bogoliubov coefficients done by Brezin and Izykson. We also use the formula
to discuss effects of time-dependence of the applied strong electric field
including the interplay between the perturbative multi-photon pair production
and non-peturbative Schwinger mechanism, and the dynamically assisted Schwinger
mechanism.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
18
The categories of this paper are: econ