Casimir energy for a spherical cavity in a dielectric: Applications to sonoluminescence
Casimir energy for a spherical cavity in a dielectric: Applications to sonoluminescence
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电介质中球形空腔的卡西米尔能量：在声致发光中的应用
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Y. Jack Ng
中科院分区：
文献类型：
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作者：
K. Milton;Y. Jack Ng
在朱利安·施温格生命的最后几年，他提出“动态卡西米尔效应”可能是令人费解的声致发光现象背后的驱动力。受到这个令人兴奋的建议的激励，我们计算了均匀材料中球形空腔的静态卡西米尔能量。正如预期的那样，结果是不同的；然而，在领先的一致渐近近似中，提取了一个合理的有限答案。该结果与使用 zeta 函数正则化得到的结果一致。从数值上看，我们发现能量太小，无法解释声致发光中看到的大量光子爆发。如果保留了发散的结果，则驱动效应的符号是错误的。分散并不能解决这个矛盾。在静态近似中，菲涅尔阻力项为零；另一方面，电致伸缩可以与卡西米尔项相媲美。有人认为，这种对动力学卡西米尔效应的绝热近似应该是相当准确的。
In the final few years of his life, Julian Schwinger proposed that the ``dynamical Casimir effect'' might provide the driving force behind the puzzling phenomenon of sonoluminescence. Motivated by that exciting suggestion, we have computed the static Casimir energy of a spherical cavity in an otherwise uniform material. As expected the result is divergent; yet a plausible finite answer is extracted, in the leading uniform asymptotic approximation. This result agrees with that found using zeta-function regularization. Numerically, we find far too small an energy to account for the large burst of photons seen in sonoluminescence. If the divergent result is retained, it is of the wrong sign to drive the effect. Dispersion does not resolve this contradiction. In the static approximation, the Fresnel drag term is zero; on the mother hand, electrostriction could be comparable to the Casimir term. It is argued that this adiabatic approximation to the dynamical Casimir effect should be quite accurate.