【摘要】 该文避开求解黑洞背景下波动方程的困难,应用量子统计方法,直接求解黑洞背景下Bose场和Fermi场的配分函数.然后利用膜模型,计算黑洞背景下热辐射谱的熵,由此熵寻求被黑洞视界反射回热谱的熵.从而对黑洞熵给出了一种新的解释,即黑洞熵是由辐射谱被视界面反射回的那一部提供的,与视界外的辐射场无关.当取适当的贯穿系数时,得到黑洞熵与视界面积成正比的结论.在所得结论中不存在对数发散项与舍去项,也不存在黑洞视界外标量场或Dirac场为什么是黑洞熵疑难.并且给出粒子的自旋简并度对黑洞熵的影响.为研究各种复杂黑洞熵提供了一条简捷的新途径.更多还原

【Abstract】 By using the method of quantum statistics, we directly derive the partition functions of bosonic and Fermi field in black hole. We also avoid the difficult to solve the wave equation. Then via the improved brick - wall method, membrane model, we calculate the entropy of thermal radiation spectrum on the background of black hole. Therefore we obtain the entropy of thermal spectrum reflected by the black hole horizon. Now we can give the entropy of tie black hole a new interpretation, that is, the entropy of the black hole is provided by the part of radiation spectrum, which is reflected by the black hole horizon. The entropy of the black hole is irrelevant to the radiation field outside horizon. When we take an appropriate impenetrate coefficient, we can derive that the entropy of black hole is proportional to the area of horizon . In our result, the stripped term and the divergent logarithmic term no longer exist. The problem why the entropy of the scalar or Dirac field outside the event horizon is the entropy of the black hole is solved. We also give the influence of the spining degeneracy of particles on the ontropy of black hole. We offer a new simple and direct way of calculating the entropy of different complicated black holes.更多还原