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arXiv quant-ph/0512161quant-phcond-mat.other
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Casimir力测量中实验与理论比较的严格方法

Rigorous approach to the comparison between experiment and theory in Casimir force measurements

G. L. Klimchitskaya, F. Chen, R. S. Decca, E. Fischbach, D. E. Krause, D. Lopez, U. Mohideen, V. M. Mostepanenko

摘要:

在卡西米尔力的大多数实验中,测量数据和理论之间的比较是使用均方根偏差的概念来完成的,这是一个在文献中受到批评的过程。在这里,我们提出了一个特殊的统计分析,应单独进行的实验数据和理论计算的结果。在这样做时,随机,系统和总的实验误差被发现作为分离的函数,考虑到95%置信度下每个误差的分布规律。独立地,将所有理论误差合并以获得相同置信度下的总理论误差。最后,理论值和实验值之间的差异的置信区间作为分离的函数。这种严格的方法适用于最近的两个实验的卡西米尔效应。

英文摘要:

In most experiments on the Casimir force the comparison between measurement data and theory was done using the concept of the root-mean-square deviation, a procedure that has been criticized in literature. Here we propose a special statistical analysis which should be performed separately for the experimental data and for the results of the theoretical computations. In so doing, the random, systematic, and total experimental errors are found as functions of separation, taking into account the distribution laws for each error at 95% confidence. Independently, all theoretical errors are combined to obtain the total theoretical error at the same confidence. Finally, the confidence interval for the differences between theoretical and experimental values is obtained as a function of separation. This rigorous approach is applied to two recent experiments on the Casimir effect.

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。

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