Exact Casimir–Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation
Exact Casimir–Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation
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粒子与理想金属圆柱壳之间的精确卡西米尔-波尔德势和邻近力近似
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发表时间：
2011
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通讯作者：
A. Saharian
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作者：
V. Bezerra;E. R. B. D. Mello;G. L. Klimchitskaya;V. Mostepanenko;A. Saharian
本文利用绿色函数方法，导出了理想金属圆柱壳内可极化微粒的Casimir-Polder势。本文重新推导并证实了最近用哈密顿方法得到的壳层外粒子的Casimir-Polder势。精确的量子场理论的结果进行了比较，得到使用邻近力近似和一个非常好的协议被证明在分离低于0.1R，其中R是圆柱体的半径。所发展的方法适用于拓扑缺陷理论。
We derive the exact Casimir–Polder potential for a polarizable microparticle inside an ideal metal cylindrical shell using the Green function method. The exact Casimir–Polder potential for a particle outside a shell, obtained recently by using the Hamiltonian approach, is rederived and confirmed. The exact quantum field theoretical result is compared with that obtained using the proximity force approximation and a very good agreement is demonstrated at separations below 0.1R, where R is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.