Sommerfeld’s Quantum Condition of Action and the Spectra of Quantum Schwarzschild Black Hole

Chin. Phys. Lett.

2004, Vol. 21

Issue (10): 1887-1889 DOI:

Original Articles

Sommerfeld’s Quantum Condition of Action and the Spectra of Quantum Schwarzschild Black Hole

LIU Liao;PEI Shou-Yong

Department of Physics, Beijing Normal University, Beijing 100875

Cite this article:

LIU Liao, PEI Shou-Yong 2004 Chin. Phys. Lett. 21 1887-1889

Download: PDF(191KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract If the situation of quantum gravity nowadays is nearly the same as that of quantum mechanics in its early time of Bohr and Sommerfeld, then a first-step study of the quantum gravity under Sommerfeld's quantum condition of action might be helpful. We present the spectra of quantum Schwarzschild black hole in non-relativistic quantum mechanics. It is found that the quantum of area is 8π/3l²_p, the quantum of entropy is 2π/3k_B, and the Hawking evaporation will cease when the black hole reaches the ground state m=

Keywords: 04.70.Dy

Published: 01 October 2004

PACS:

04.70.Dy

(Quantum aspects of black holes, evaporation, thermodynamics)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I10/01887

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	LIU Liao
	PEI Shou-Yong

Related articles from Frontiers Journals

[1]	CHEN Bin,NING Bo,ZHANG Jia-Ju. Boundary Conditions for NHEK through Effective Action Approach**[J]. Chin. Phys. Lett., 2012, 29(4): 1887-1889
[2]	ZHANG Bao-Cheng, CAI Qing-Yu, ZHAN Ming-Sheng. Entropy Conservation in the Transition of Schwarzschild-de Sitter Space to de Sitter Space through Tunneling[J]. Chin. Phys. Lett., 2012, 29(2): 1887-1889
[3]	M. Sharif, G. Abbas. Phantom Energy Accretion by a Stringy Charged Black Hole**[J]. Chin. Phys. Lett., 2012, 29(1): 1887-1889
[4]	M Sharif, G Abbas . Phantom Accretion onto the Schwarzschild de-Sitter Black Hole**[J]. Chin. Phys. Lett., 2011, 28(9): 1887-1889
[5]	Faiz-ur-Rahman, Salahuddin, M. Akbar . Generalized Second Law of Thermodynamics in Wormhole Geometry with Logarithmic Correction**[J]. Chin. Phys. Lett., 2011, 28(7): 1887-1889
[6]	Azad A. Siddiqui, Syed Muhammad Jawwad Riaz, M. Akbar . Foliation and the First Law of Black Hole Thermodynamics**[J]. Chin. Phys. Lett., 2011, 28(5): 1887-1889
[7]	CAO Guang-Tao, WANG Yong-Jiu . Interference Phase of Mass Neutrino in Schwarzschild de Sitter Field**[J]. Chin. Phys. Lett., 2011, 28(2): 1887-1889
[8]	WEI Yi-Huan, CHU Zhong-Hui . Thermodynamic Properties of a Reissner–Nordström Quintessence Black Hole**[J]. Chin. Phys. Lett., 2011, 28(10): 1887-1889
[9]	GUO Guang-Hai, DING Xia . Area Spectra of Schwarzschild-Anti de Sitter Black Holes from Highly Real Quasinormal Modes**[J]. Chin. Phys. Lett., 2011, 28(10): 1887-1889
[10]	WEI Yi-Huan. Mechanical and Thermal Properties of the AH of FRW Universe[J]. Chin. Phys. Lett., 2010, 27(5): 1887-1889
[11]	LIU Chang-Qing. Absorption Cross Section and Decay Rate of Stationary Axisymmetric Einstein-Maxwell Dilaton Axion Black Hole[J]. Chin. Phys. Lett., 2010, 27(4): 1887-1889
[12]	ZHAO Fan, HE Feng. Statistical Mechanical Entropy of a (4+n)-Dimensional Static Spherically Symmetric Black Hole[J]. Chin. Phys. Lett., 2010, 27(2): 1887-1889
[13]	JIANG Ke-Xia, KE San-Min, PENG Dan-Tao, FENG Jun. Hawking radiation as tunneling and the unified first law of thermodynamics at the apparent horizon of the FRW universe[J]. Chin. Phys. Lett., 2009, 26(7): 1887-1889
[14]	M. Akbar, Asghar Qadir. Gauss-Bonnet and Lovelock Gravities and the Generalized Second Law of Thermodynamics[J]. Chin. Phys. Lett., 2009, 26(6): 1887-1889
[15]	HE Feng, ZHAO Fan. Statistical-Mechanical Entropy of a Black Hole with a Global Monopole to All Orders in Planck Length[J]. Chin. Phys. Lett., 2009, 26(4): 1887-1889

Viewed

Full text

Abstract