Correct statement of a scattering problem for quantum charged scalar particles on the Reissner-Nordstr\"om black holes
Abstract
We study a correct statement of the scattering problem arising for quantum charged scalar particles on the Reissner-Nordstr\"om black holes when taking into account the own electric field of black hole. The elements of the corresponding S-matrix are explored in the form convenient to physical applications and for applying numerical methods. Some further possible issues are outlined.
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