Discussion On Quantized Area Spectrum Of Black Hole

The discussed problem on quantized area spectrum of black hole is one of the "hot-spots" in recent years in the world, which refers to many fields, including: the general relativity, thermal statistics, and quantum field theory. It is hope to solve the difficulties of quantized gravity. We divide the whole paper into three chapters.In the first chapter, some knowledge about black hole is introduced. Especially, the thermal dynamic character, thermal radiation as well as the entropy of black hole with a popular calculated method called "brick-wall" model are presented. Meanwhile, we also propose a more brief method to calculate the black hole entropy. Our method also contains a parameter, but they are different at all. The parameter given by the brick-will is to avoid the volatilization at horizon of black hole. It is artificiality. In our work, using the form of common radiated function, we demonstrate the conclusion that the entropy of black hole is direct radio to the area. The parameter in our computation is only for confirming a proper coefficient between them.In the second chapter, we introduce why it is necessary to quantize the gravity, and the ways of quantized gravitation. One of the approved method is called loop quantum gravity. To compare with other approaches, there are two important conclusions proposed at present. The first one is the quantized spacetime at the planck scale, the other one refers to the calculation of entropy of the black hole.The last chapter is the key of our paper, we mainly discuss the problem of quantized area of black hole. Recently, the works only focus on the Schwarzschild black hole and static sphere symmetry black hole. The quantization of black holes was proposed in the pioneering work of Bekenstein. He conjectured that the horizon area of a nonextremal quantum black hole should have a discrete eigenvalue spectrum. In 1998, applying a specific approach, Hod obtained the expression of the area spectrum. Motivated by Parikh and Wilczek's work, we modify the brick-wall method proposed by Hooft. Then, we acquire a new expression of the quantized area spectrum in Schwarzschild background from another point of view. Our results is very close to Hod's.