Quantum Black Holes and Hawking's Radiation

摘要

The black hole model with a selfgravitating charged spherical dust thin shell asa source is considered. The Schrodinger-type equation for such a model is derived. The equation is appeared to be a finite difference equation. A method for solving such an equation is proposed and the discrete spectrum of the bound state energy levels is found. The quantum black hole states are selected and investigated. It is shown that the black hole spectrum obtained is compatible with the existence of Hawking's radiation in the limit of low temperatures both for large and nearly extreme Reissner-Nordstrom black holes.