Ne. Firsova, CORRECT STATEMENT OF A SCATTERING PROBLEM FOR QUANTUM CHARGED SCALAR PARTICLES ON THE REISSNER-NORDSTROM BLACK-HOLES, International journal of modern physics D, 7(4), 1998, pp. 509-520
We study a correct statement of the scattering problem arising for qua
ntum charged scalar particles on the Reissner-Nordstrom black holes wh
en taking into account the own electric field of black hole. The eleme
nts of the corresponding S-matrix are explored in the form convenient
to physical applications and for applying numerical methods. Some furt
her possible issues are outlined.