Bekenstein-Hawking Entropy by energy quantization from Schwarzschild-de Sitter black hole

The energy of a test particle orbiting a Schwarzschild-de Sitter (SdS) black hole is quantized with the help of the quantization of angular momentum. We have investigated the change of entropy between two nearby states using energy quantization. We have shown that the change of entropy as well as purely thermal emission rate is dependent of quantum number and approach to zero for large quantum number.