A quantum mechanical derivation of the Schwarzschild radius and its quantum correction using a model density distribution: Skin of a black hole

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125860Using a single particle density distribution for a system of self-gravitating particles which ultimately forms a black hole, we from a condensed matter point of view derive the Schwarzschild radius and by including the quantum mechanical exchange energy we find a small correction to the Schwarzschild radius, which we designate as the skin of the black hole.4 pages, Study of a black hole from a condensed matter point of viewGeneral PhysicsA quantum mechanical derivation of the Schwarzschild radius and its quantum correction using a model density distribution: Skin of a black holetext