量子化黑洞与Heun函数
Quantized Black Hole and Heun function
摘要：
根据He和Ma提出的用玻尔的原子观量子化黑洞的简单方案，我们讨论了这种黑洞的波动方程的可解性。我们肤浅地解决了相关的薛定谔方程。特征函数问题归结为HeunB $H$微分方程，它是超几何微分方程的自然推广。换句话说，可以通过求解Heun微分方程来确定光谱。
英文摘要：
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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