Scattering of Dirac Waves off Reissner-Nordström Black Holes

Dirac equation in Kerr geometry was separated by Chandrasekhar in 1976. In the present paper, the radial parts of Dirac equation in Reissner-Nordström (RN) geometry are solved. We concentrate on two cases. The first one is that the energies of the waves are greater than the height of the potential b...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 52; no. 3; pp. 827 - 836
Main Authors Lyu, Yan, Sun, Shu-Feng
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2013
Subjects
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
Tortoise coordinate
Reissner-Nordström space
Dirac equation
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Summary:Dirac equation in Kerr geometry was separated by Chandrasekhar in 1976. In the present paper, the radial parts of Dirac equation in Reissner-Nordström (RN) geometry are solved. We concentrate on two cases. The first one is that the energies of the waves are greater than the height of the potential barrier and the second one is that the waves hit on the potential barrier. In each case, the reflection and transmission coefficients and the wave function are computed. We compare the solutions with several parameters to show how the properties of the scattered wave depend on these parameters.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-012-1392-3