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Statistical Mechanical Entropy of a (4 + n)-Dimensional Static Spherically Symmetric Black Hole
引用本文:赵凡,贺锋.Statistical Mechanical Entropy of a (4 + n)-Dimensional Static Spherically Symmetric Black Hole[J].中国物理快报,2010(2):16-19.
作者姓名:赵凡  贺锋
作者单位:Physics College, Hunan University of Science and Technology Xiangtan 411201
基金项目:Supported by the Graduate Student Creative Foundation of Hunan University of Science and Technology under Grant No S080111, Scientific Research Foundation for the Returned Overseas Chinese Scholars from State Education Ministry of China under Grant No 527[2004]) and the Hunan Provincial Natural Science Foundation under Grant No 06JJ2026.
摘    要:Considering corrections to all orders in the Planck length on the quantum state density from the generalized uncertainty principle and using the quantum state density to all degrees of freedom including extra dimensions, we calculate the statistical entropy of the scalar field in the higher-dimensional static spherically symmetric black hole spacetime without any artificial cutoff. Calculation shows that the entropy is proportional to the horizon area. The coefficient of proportionality is 1/4 when the minimal length parameter is selected appropriately.

关 键 词:球对称黑洞  统计熵  静态  广义不确定原理  量子态密度  机械  计算结果  普朗克长度
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