A Rigorous Method for Calculating the Casimir Effect

Ni Guangjiong; Zhang Min; Gong Jiawen

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(S3) : 289-296

A Rigorous Method for Calculating the Casimir Effect

Department of Physics, Fudan University, Shanghai, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the Plana summation formula in the complex variable function theory, we calculate the Casimir energy related to the zero point fluctuations of an electromagnetic field in the three-dimensional vacuum space without introducing any cutofTparameter or function. The finite analytic expression derived by us coincides with the known experimental and theoretical results. The Casimir effect in the high dimensional space and that induced by a massive scalar field are also discussed.

[1]	N. Salehi , H. Hassanabadi , A. A. Rajabi . A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential. Chinese Physics C, 2015, 39(6): 063106. doi: 10.1088/1674-1137/39/6/063106
[2]	YANG Yan-Ji , LU Jing-Bin , WANG Yu-Sa , CHEN Yong , XU Yu-Peng , CUI Wei-Wei , LI Wei , LI Zheng-Wei , LI Mao-Shun , LIU Xiao-Yan , WANG Juan , HAN Da-Wei , CHEN Tian-Xiang , LI Cheng-Kui , HUO Jia , HU Wei , ZHANG Yi , LU Bo , ZHU Yue , MA Ke-Yan , WU Di , LIU Yan , ZHANG Zi-Liang , YIN Guo-He , WANG Yu . Proton irradiation effect on SCDs. Chinese Physics C, 2014, 38(8): 086004. doi: 10.1088/1674-1137/38/8/086004
[3]	CHU Sheng-Qi , ZHENG Li-Rong , CHE Rong-Zheng , ZHOU Ai-Yu , ZHANG Jing , LIU Jing , HU Tian-Dou . Development of pressure-modulated EXAFS method. Chinese Physics C, 2012, 36(2): 184-187. doi: 10.1088/1674-1137/36/2/015
[4]	CHENG Hong-Bo . Casimir force on a piston at finite temperature in Randall-Sundrum models. Chinese Physics C, 2011, 35(12): 1084-1094. doi: 10.1088/1674-1137/35/12/002
[5]	YAN Liang , HE Kang-Lin , LI Wei-Guo , BIAN Jian-Ming , FU Cheng-Dong , HUANG Bin , LIU Ying , NING Fei-Peng , SUN Sheng-Sen , XU Min , ZHANG Jian-Yong , ZHU Yong-Sheng , . Lagrange multiplier method used in BESⅢ. Chinese Physics C, 2010, 34(2): 204-209. doi: 10.1088/1674-1137/34/2/009
[6]	ZHOU Jing , LIU Zhi-Yi , MENG Qiu-Ying , ZHOU Shu-Hua . Photon discrimination simulation with the PCA method. Chinese Physics C, 2010, 34(10): 1632-1635. doi: 10.1088/1674-1137/34/10/015
[7]	LI Ning , YAO Hai-Bo , CHEN Xi , WU Shi-Shu . Rigorous spectral representation of relativistic random phase approximation for finite nuclei. Chinese Physics C, 2010, 34(12): 1830-1835. doi: 10.1088/1674-1137/34/12/008
[8]	ZENG Zhuo-Quan , SHEN Peng-Nian , DING Yi-Bing . An improved variational method. Chinese Physics C, 2009, 33(3): 191-196. doi: 10.1088/1674-1137/33/3/006
[9]	WU Zhen , LI Jun-Li , CHENG Jian-Ping . An Improved Correlated Sampling Method Calculating Correction Factor of Detector. Chinese Physics C, 2006, 30(8): 771-775.
[10]	ZHANG Li , ZHOU Shan-Gu , MENG Jie . Real Stabilization Method and Its Application in Calculating Resonance States. Chinese Physics C, 2006, 30(S2): 59-61.
[11]	Lu Jizong , Huang Baofa . Casimir Energy for Piecewise Uniform Strings. Chinese Physics C, 1999, 23(2): 212-215.
[12]	Zhang Zhihe , Li Ziping . Casimir Effect of the Maxwell- Chern-Simons Field. Chinese Physics C, 1998, 22(1): 87-91.
[13]	Zheng Taiyu , Li Changsong . Internal Massive Fermion Loop Contribution to Casimir Force in Two-Dimensions. Chinese Physics C, 1996, 20(3): 211-215.
[14]	Zheng Taiyu , Li Changsong . Massive Fermion Loop Contribution to Casimir Force in Two-Dimensional Case. Chinese Physics C, 1996, 20(S1): 55-59.
[15]	Chen Jianhua , Kuang Huisun , Bai Mingfu , Cheng Xiangai . Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group. Chinese Physics C, 1995, 19(5): 424-430.
[16]	Zheng Taiyu . Casimir Effect at Finite Temperature. Chinese Physics C, 1995, 19(3): 241-244.
[17]	Dong Yubing , Shen Pengnian , Yu Youwen , Zhang Zongye . Color Screening Effect in bb System. Chinese Physics C, 1994, 18(S2): 201-206.
[18]	Wu Jimin . A Rigorous Calculation for the Radiator in e⁺e^- Processes. Chinese Physics C, 1992, 16(S4): 395-400.
[19]	NI Guang-Jiong , ZHANG Min , GONG Jia-Wen . A Rigorous Method for Calculating the Casimir Effect. Chinese Physics C, 1991, 15(8): 695-700.
[20]	ZHENG Tai-Yu . INTERNAL FERMION ONE-LOOP CONTRIBUTION TO THE CASIMIR FORCE. Chinese Physics C, 1990, 14(9): 796-801.

Access

Get Citation

Ni Guangjiong, Zhang Min and Gong Jiawen. A Rigorous Method for Calculating the Casimir Effect[J]. Chinese Physics C, 1991, 15(S3): 289-296.

Ni Guangjiong, Zhang Min and Gong Jiawen. A Rigorous Method for Calculating the Casimir Effect[J]. Chinese Physics C, 1991, 15(S3): 289-296. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1990-12-15

Fund

Supported by the Science Foundation of State Education Commission of China.

Article Metric

Article Views(467)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A Rigorous Method for Calculating the Casimir Effect

Department of Physics, Fudan University, Shanghai, China

Received Date: 1990-12-15

Fund Project: Supported by the Science Foundation of State Education Commission of China.

Abstract: Using the Plana summation formula in the complex variable function theory, we calculate the Casimir energy related to the zero point fluctuations of an electromagnetic field in the three-dimensional vacuum space without introducing any cutofTparameter or function. The finite analytic expression derived by us coincides with the known experimental and theoretical results. The Casimir effect in the high dimensional space and that induced by a massive scalar field are also discussed.