Correct statement of a scattering problem for quantum charged scalar particles on the Reissner-Nordström black holes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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12 pages, LaTeX with using the ijmpd1.sty file from the package of World Scientific Publishing Co., to appear in Int. J. Mod.

Scientific paper

10.1142/S0218271898000346

We study a correct statement of the scattering problem arising for quantum charged scalar particles on the Reissner-Nordstr\"{o}m 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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