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Inverse scattering at fixed energy for massive charged Dirac fields in de Sitter–Reissner–Nordström black holes

2015
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Inverse Problems
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In this paper, we consider massive charged Dirac fields propagating in the exterior region of de Sitter-Reissner-Nordström black holes. We show that the parameters of such black holes are uniquely determined by the partial knowledge of the corresponding scattering operator S(λ) at a fixed energy λ. More precisely, we consider the partial wave scattering operators S(λ, n) (here λ ∈ R is the energy and n ∈ N ⋆ denotes the angular momentum) defined as the restrictions of the full scattering

doi:10.1088/0266-5611/31/5/055001
fatcat:4pnbkfpfozfane2qmfbpgz2564