Two-Mode Harmonic Oscillator Model of Reissner-Nordström Black Hole

In this paper, we will assume that the Reissner-Nordström black hole can be dynamically expressed, at the classical level, in terms of a reduced phase space consisting of the physical observables and their canonical conjugates. More specifically, we propose that the phase space can be described by the black hole’s mass and charge along with their respective conjugates. In this four-dimensional phase space we perform a couple of canonical transformations to obtain a two-mode harmonic oscillator model of Reissner-Nordström black hole. By adopting this model, the quantum spectrum and wave function of horizon area are presented.