2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55919The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks translational time invariance but gives a normalizable ground state. We show that this change of the Hamiltonian is a quantum mechanical equivalent of the change of coordinates near the black hole horizon removing the singularity. The new Hamiltonian of quantum mechanics is identified as an operator of a rotation between 2 time-like coordinates of the adS hypersurface which translates global time. Therefore conformal quantum mechanics may eventually help to resolve the puzzles of the classical black hole physics.7 pages, Latex. To be published in proceedings of the 22nd Johns Hopkins Workshop, Gothenburg, 1998High Energy Physics - Theorytext