Quantized Black Hole and Heun function

Abstract

Following the simple proposal by He and Ma for quantization of a black hole(BH) by Bohr's idea about the atoms, we discussed the solvability of the wave equation for such a BH. We superficial solved the associated Schrodinger equation. The eigenfunction problem reduces to HeunB $H$ differential equation which is a natural generalization of the hypergeometric differential equation. In other words, the spectrum can be determined by solving the Heun's differential equation.

9 pages,Title Changed, 3 figures, Refrences added

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Cited by in corpus (5)

• Heun Functions and Some of Their Applications in Physics
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• The analytic solution for the power series expansion of Heun function
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
• Investigation of hidden symmetry in $Ad{S}_5$ black hole with Heun equation