Semi-analytical Solution of Dirac equation in Schwarzschild Geometry

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

RevTex, 11 Latex pages and 12 Figures ; Classical and Quantum Gravity (in Press) (1999)

Scientific paper

10.1088/0264-9381/16/10/309

Separation of the Dirac equation in the spacetime around a Kerr black hole into radial and angular coordinates was done by Chandrasekhar in 1976. In the present paper, we solve the radial equations in a Schwarzschild geometry semi-analytically using Wentzel-Kramers-Brillouin approximation (in short WKB) method. Among other things, we present analytical expression of the instantaneous reflection and transmission coefficients and the radial wave functions of the Dirac particles. Complete physical parameter space was divided into two parts depending on the height of the potential well and energy of the incoming waves. We show the general solution for these two regions. We also solve the equations by a Quantum Mechanical approach, in which the potential is approximated by a series of steps and found that these two solutions agree. We compare solutions of different initial parameters and show how the properties of the scattered wave depend on these parameters.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Semi-analytical Solution of Dirac equation in Schwarzschild Geometry 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 Semi-analytical Solution of Dirac equation in Schwarzschild Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-analytical Solution of Dirac equation in Schwarzschild Geometry will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-420611

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.