WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes

Details WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes

2004-11-18

arxiv.org/abs/gr-qc/0411090v1

Class.Quant.Grav. 22 (2005) 775-790

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 8 figures

Scientific paper

10.1088/0264-9381/22/5/001

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.

Affiliated with

Also associated with

No associations

Rating

WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257959