Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild
  Black Hole Spacetimes   We analysis the radial equations for massive Dirac fields in Schwarzschild
black hole spacetimes. Different approximation formulae under the WKB scheme
are developed for the transmission probability ${\cal T}$ of the radial
wavefunction with $E^{2}\gg V_{m}$, $E^{2}\approx V_{m}$, and $E^{2}\ll V_{m}$,
where $E$ is the energy of the field and $V_{m}$ is the maximum value of the
effective potential. Explicit results of ${\cal T}$ in these approximations are
given for various values of $E$, the mass $m$, and the angular momentum
parameter $\kappa$ of the fields. We also discuss the dependence of ${\cal T}$
on these parameters.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics