Casimir energy of a dilute dielectric ball in the mode summation method
Casimir energy of a dilute dielectric ball in the mode summation method
复制标题
模态求和法中稀介质球的卡西米尔能量
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
V. Nesterenko
中科院分区：
文献类型：
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作者：
G. Lambiase;G. Scarpetta;V. Nesterenko
在$（1 - 2）^2$-近似下，用简单明了的模式求和法导出了稀介质球的Casimir能量.贝塞尔函数的加法定理使我们能够在虚频积分之前以封闭形式表示角动量的和。对真空能量的线性输入通过适当的减法去除。阐明了在其他方法中使用的接触术语对这个问题的作用。
In the $(\epsilon_1-\epsilon_2)^2$--approximation the Casimir energy of a dilute dielectric ball is derived using a simple and clear method of the mode summation. The addition theorem for the Bessel functions enables one to present in a closed form the sum over the angular momentum before the integration over the imaginary frequencies. The linear in $(\epsilon_1-\epsilon_2)$ contribution into the vacuum energy is removed by an appropriate subtraction. The role of the contact terms used in other approaches to this problem is elucidated.