Quantized Black Hole and Heun function

D. Momeni; Koblandy Yerzhanov; Ratbay Myrzakulov

doi:10.1139/p2012-078

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arXiv · 1009.0130

Quantized Black Hole and Heun function

D. Momeni·Koblandy Yerzhanov·Ratbay Myrzakulov

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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.

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D. Momeni, Koblandy Yerzhanov, Ratbay Myrzakulov. 2012-03-16. Quantized Black Hole and Heun function. https://doi.org/10.1139/p2012-078

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