实际导电球壳的协变电磁Casimir效应
The covariant electromagnetic Casimir effect for real conducting spherical shells
摘要:
利用协变电磁Casimir效应(以前在实际导电圆柱壳中引入的),计算了Dirichlet边界条件下球壳所受的Casimir力。重整化过程是基于真实导体的等离子体截止频率。考虑了金(银)球的实际情况,计算了相应的电磁Casimir力。在协变方法中,没有将场分解为TE和TM模式;因此,我们不需要考虑与狄利克雷问题并行的诺依曼边界条件,然后将其相应的结果相加。
英文摘要:
Using the covariant electromagnetic Casimir effect (previously introduced for real conducting cylindrical shells [1]), the Casimir force experienced by a spherical shell, under Dirichlet boundary condition, is calculated. The renormalization procedure is based on the plasma cut-off frequency for real conductors. The real case of a gold (silver) sphere is considered and the corresponding electromagnetic Casimir force is computed. In the covariant approach, there isn't any decomposition of fields to TE and TM modes; thus, we do not need to consider the Neumann boundary condition in parallel to the Dirichlet problem and then add their corresponding results.
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