Abstract
In this paper, following the simple proposal by He and Ma for quantization of a black hole (BH) using Bohr’s method, we discuss the solvability of the wave equation for such a BH. We consequentially solve the associated Schrödinger equation. The eigenfunction problem reduces to the HeunB, H(α, β, γ, δ; z), differential equation, which is a natural generalization of the hypergeometric differential equation. We investigate some physical properties of the wavefunction. We then obtain the expectation value of the kinetic and the potential energies, using Hellmann–Feynman theorem. Our work introduces some new applications of the Heun function.