Physics – Quantum Physics
Scientific paper
2005-12-20
J. Phys. A, v.39, N21, pp.6485-6493 (2006)
Physics
Quantum Physics
10 pages, iopart.cls is used, to appear in J. Phys. A (special issue: Proceedings of QFEXT05, Barcelona, Sept. 5-9, 2005)
Scientific paper
10.1088/0305-4470/39/21/S45
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.
Chen Fangpei
Decca Ricardo S.
Fischbach Ephraim
Klimchitskaya Galina L.
Krause Dennis E.
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