用量子统计方法,计算了球对称dilatonic黑洞玻色场和费米场的量子统计熵。在计算中,采用了由广义测不准关系修正的态密度公式,利用求解配分函数及系统自由能的统计方法,得到了收敛级数表达的黑洞熵。在计算中,不存在人为截断的引入和小质量近似,计算结果与前人的经典结果一致。
Using the quantum statistical method, we directly solved the quantum statistical entropy of Bosonic field and Fermion- ic field on the background of the spherical symmetry dilatonie black hole. In the calculation, we adopted the new equation of state density motivated by the generalized uncertainty relation, solved the partition function and the free energy of system with statistical method, we obtain that the entropy of black hole is convergent. In our calculation the artificial cutoff and the small mass approxima- tion are removed, our results qualitatively consistent with the previous results.