Quantum Statistical Entropy of Black Hole
黑洞的量子统计熵

Using the method of quantum statistics, the authors derive the partition function of bosonic and fermionic field in various co-ordinates and obtain the integral expression of the entropy of black hole. Then via the improved brick-wall method and membrane model, the authors obtain that if they choose proper parameter, the entropy of black hole is proportional to the area of horizon. In their result, the stripped term and the divergent logarithmic term in the original brick-wall method no longer exist. The authors offer a new simple and direct way of calculating the entropy of black holes in various co-ordinates.