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Scattering of Dirac Waves off Reissner-Nordström Black Holes

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Abstract

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.

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Authors and Affiliations

  1. College of Physics Science and Technology, Shenyang Normal University, Shenyang, 110034, Liaoning Province, People’s Republic of China

    Yan Lyu

  2. Shenyang Aircraft Research Institute, Powder Company of China, Shenyang, 110035, Liaoning Province, People’s Republic of China

    Shu-Feng Sun

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  1. Yan Lyu
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  2. Shu-Feng Sun
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Correspondence to Yan Lyu.

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Lyu, Y., Sun, SF. Scattering of Dirac Waves off Reissner-Nordström Black Holes. Int J Theor Phys 52, 827–836 (2013). https://doi.org/10.1007/s10773-012-1392-3

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  • DOI: https://doi.org/10.1007/s10773-012-1392-3

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