A Rigorous Method for Calculating the Casimir Effect

Ni Guangjiong; Zhang Min; Gong Jiawen

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《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

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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.

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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

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Received: 1990-12-15

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

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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.