Mode-by-mode summation for the zero point electromagnetic energy of an infinite cylinder
Mode-by-mode summation for the zero point electromagnetic energy of an infinite cylinder
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无限圆柱体零点电磁能的逐模求和
DOI：
10.1103/physrevd.59.105009
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发表时间：
1997
影响因子：
5
通讯作者：
V. Nesterenko
中科院分区：
文献类型：
--
作者：
K. Milton;A. Nesterenko;V. Nesterenko
利用逐模求和技术，对给定边界条件的无限大圆柱体表面电磁场零点能量进行了计算。假设组成圆柱体的材料({var_epsilon}{sub1}，{u}{sub1})和组成周围环境的材料({var_epsilon}{sub2}，{u}{sub2})的介电和磁特性服从关系{var_epsilon}{sub1}{u}{sub1}={var_epsilon}{sub2}{u}{sub2}。在这个假设下，所有的分歧都被抵消了。分歧是通过使用Zeta函数技术来调节的。对稀薄介质-抗磁圆柱体和理想导电圆柱壳进行了数值计算。第一种情况下的Casimir能量为零，第二种情况下的Casimir能量与DeRaad和Milton采用带有紫外线调节器的格林S函数方法得到的结果完全一致。{版权所有}{ital1999}{italthe American Physitive Society}
Using the mode-by-mode summation technique the zero point energy of the electromagnetic field is calculated for the boundary conditions given on the surface of an infinite solid cylinder. It is assumed that the dielectric and magnetic characteristics of the material which makes up the cylinder ({var_epsilon}{sub 1},{mu}{sub 1}) and of that which makes up the surroundings ({var_epsilon}{sub 2},{mu}{sub 2}) obey the relation {var_epsilon}{sub 1}{mu}{sub 1}={var_epsilon}{sub 2}{mu}{sub 2}. With this assumption all the divergences cancel. The divergences are regulated by making use of zeta function techniques. Numerical calculations are carried out for a dilute dielectric-diamagnetic cylinder and for a perfectly conducting cylindrical shell. The Casimir energy in the first case vanishes, and in the second is in a complete agreement with that obtained by DeRaad and Milton who employed a Green{close_quote}s function technique with an ultraviolet regulator. {copyright} {ital 1999} {ital The American Physical Society}