The electromagnetic Casimir effect of spherical cavity

The electromagnetic Casimir effect of spherical cavity 1 first-author 1 1 1 Shanghai Institute of Nuclear Research, the Chinese Academy of Sciences, Shanghai 201800 Shanghai Institute of Nuclear Research, the Chinese Academy of Sciences, Shanghai 201800 The Casimir effect results from the zero-point energy of vacuum. A spherical cavity can be divided into three regions, and we make an analysis of every region and then give a formal solution of Casimir energy. The zeta-function regularization is also used to dispel the divergence of the summation. At the end, we can see the Casimir effect of a single sphere is included in our results. Casimir effect Zeta-function regularization Spherical cavity Casimir energy References Casimir H B G . Phys , 1956 , 19 : 846 Phys Bordag M , Mohideen U , Mostepanenko V M . Phys Rep , 2001 , 353 : 1 - 205 Phys Rep Jiang W Z , Fu D J , Wang Z X et al . Acta Phys Sin (in Chinese) , 2003 , 52 (to be published) Acta Phys Sin (in Chinese) Boyer T H . Phys Rev , 1968 , 174 : 1764 - 1777 Phys Rev Leseduarte S , Romeo A . Hep-th, 9605022 , 1996 , 3 Hep-th, 9605022 Wang Z X , Guo D R . Introduction of mathematical functions (in Chinese) , Beijing : Science Press , 1979 Introduction of mathematical functions (in Chinese) Elizalde E , Leseduarte S , Romeo A . J Phys A , 1994 , 26 : 2409 J Phys A Blau S K , Visser M , Wipf A . Nucl Phys B , 1988 , 310 : 163 Nucl Phys B Leseduarte S , Romeo A . J Phys A , 1994 , 27 : 2483 J Phys A Gosdzinsky D , Romeo A . Phys Let B , 1998 , 441 : 265 Phys Let B O442,O413.2 Supported by the Major Project of Knowledge Innovation Project of the Chinese Acedamy of Sciences (No.KJCX2-SW-N02) 2002-09-19 2003-05-01 2021-01-19 2003 Nuclear Science and Techniques 02 14