arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv quant-ph/0110128quant-ph
收藏

表面阻抗与卡西米尔力

Surface impedance and the Casimir force

V. B. Bezerra, G. L. Klimchitskaya, C. Romero

摘要:

本文用阻抗边界条件计算了两平行平板和平板上方的一个球形(球面透镜)结构在零温和非零温下的Casimir力。阻抗方法允许人们找到现实的测试机构之间的卡西米尔力,而不管介质内的电磁波动。虽然这种方法是一种近似的方法,但它比卡西米尔力的Lifshitz理论有更广泛的应用领域。本文给出了Casimir力理论的阻抗近似的一般公式,并找到了将它与Lifshitz公式相联系的形式替代。从实验的角度来看,这是有趣的测试机构之间的微米分离的范围进行了详细研究。结果表明,在零温度下,表面阻抗法的基础上得到的结果是一致的,在框架内的Lifshitz理论的百分之几。阻抗法对Casimir力的温度修正与Lifshitz理论的修正在四位有效数字以内是一致的。毫米分离的情况下,对应于正常的皮肤效应也被认为是。在零温下,所得结果与Lifshitz理论符合得很好。在非零温度下,阻抗方法不受耗散介质中Lifshitz公式的零频率项所特有的解释问题的影响。

英文摘要:

The impedance boundary condition is used to calculate the Casimir force in configurations of two parallel plates and a shpere (spherical lens) above a plate at both zero and nonzero temperature. The impedance approach allows one to find the Casimir force between the realistic test bodies regardless of the electromagnetic fluctuations inside the media. Although this approach is an approximate one, it has wider areas of application than the Lifshitz theory of the Casimir force. The general formulas of the impedance approach to the theory of the Casimir force are given and the formal substitution is found for connecting it with the Lifshitz formula. The range of micrometer separations between the test bodies which is interesting from the experimental point of view is investigated in detail. It is shown that at zero temperature the results obtained on the basis of the surface impedance method are in agreement with those obtained in framework of the Lifshitz theory within a fraction of a percent. The temperature correction to the Casimir force from the impedance method coincides with that from the Lifshitz theory up to four significant figures. The case of millimeter separations which corresponds to the normal skin effect is also considered. At zero temperature the obtained results have good agreement with the Lifshitz theory. At nonzero temperature the impedance approach is not subject to the interpretation problems peculiar to the zero-frequency term of the Lifshitz formula in dissipative media.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑