caa a22 4500 463196015 CHVBK 20180406164923.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10773-007-9427-x doi (NATIONALLICENCE)springer-10.1007/s10773-007-9427-x Calculating Entropy of Plane Symmetry Black Hole via Generalized Uncertainty Relation [Elektronische Daten] [Zhao Ren, Zhang Li-Chun, Wu Yue-Qin] The generalized uncertainty relation is introduced to calculate entropy of the black hole. By using quantum statistical method, we directly obtain the partition function of Bose and Fermi field on the background of the plane symmetry black hole. Then we calculate the entropy of Bose and Fermi field on the background of black hole near the horizon of the black hole. In our calculation, we need not introduce cutoff. There are not the left out term and the divergent logarithmic term in the original brick-wall method. And it is obtained that the entropy of the black hole is proportional to the area of the horizon. The inherent contact between the entropy of black hole and the area of horizon is opened out. Further it is shown the entropy of black hole is entropy of quantum state on the surface of horizon. The black hole's entropy is the intrinsic property of the black hole. The entropy is aquantum effect. Springer Science+Business Media, LLC, 2007 Brick-wall method nationallicence Entropy of black hole nationallicence Quantum statistics nationallicence Generalized uncertainty relation nationallicence Ren Zhao Department of Physics, Shanxi Datong University, 037009, Datong, China aut Li-Chun Zhang Department of Physics, Shanxi Datong University, 037009, Datong, China aut Yue-Qin Wu Department of Physics, Shanxi Datong University, 037009, Datong, China aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3128-3134 0020-7748 46:12<3128 2007 46 10773 https://doi.org/10.1007/s10773-007-9427-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9427-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ren Zhao Department of Physics, Shanxi Datong University, 037009, Datong, China aut NATIONALLICENCE 700 1- Li-Chun Zhang Department of Physics, Shanxi Datong University, 037009, Datong, China aut NATIONALLICENCE 700 1- Yue-Qin Wu Department of Physics, Shanxi Datong University, 037009, Datong, China aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3128-3134 0020-7748 46:12<3128 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer