A Rigorous Method for Calculating the Casimir Effect

NI Guang-Jiong; ZHANG Min; GONG Jia-Wen

Chinese Physics C> 1991, Vol. 15> Issue(8) : 695-700

A Rigorous Method for Calculating the Casimir Effect

Physics Department,Fudan University,Shanghai 200433

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Abstract：
Using the Plana summation formula in complex variable function theory,we have calculated the Casimir energy related to the zero-point fluctuations of electromagnetic fields in three dimensional space without introducing any cutoff parameter or function.The finite analytical expression obtained coincides precisely with the known experimental and theoretical results.The Casimir effects in high dimensional space and relevant to massive scalar field are also discussed.

References

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H. B. G. Casimir, Proc. kQn. Med. Akad. Wet 51(1948), 793.[2] C. Iczykson and J-B Zubet, Quantum. Field Theory, (MCGRAW-HILL). p. 138[3] B. V. Deryagin and I. I. Abricosova, J. Exp. Theor. Phys. U. S. S. R. 21(1951) 945; M. J. Sparnaay,Phyrica, 24(1958), 751. D. Tabor and R. M. S. Winterton. Proc. Roy. Soc., A312(1969), 435.[4] G. Plunien, B. Miiller and W. Greiner, Phys. Rep., 134(1986), 87.[5] E. LindelSf, Le Calcul des Residues, (Gauthier-Villars, Paris, France, 1905) Chap. 11I.[6] L. H. Ford, Phys. Rev. D., 38(1988), 529.[7] Yu-Liang Liu and Guang-jiong Ni, .Phys. Rev., D38(1988), 3840.[8] I. S. Gradshteyn and 1. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, 1980), p.325, 1074.[9] H. Verschelde, L. Wine and P. Phariseau, Phys. Lett., 149B(1984), 396.

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NI Guang-Jiong, ZHANG Min and GONG Jia-Wen. A Rigorous Method for Calculating the Casimir Effect[J]. Chinese Physics C, 1991, 15(8): 695-700.

NI Guang-Jiong, ZHANG Min and GONG Jia-Wen. A Rigorous Method for Calculating the Casimir Effect[J]. Chinese Physics C, 1991, 15(8): 695-700. shu

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Received: 1900-01-01
Revised: 1900-01-01

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