U1 9

Correlation Functions – Comparing theory and experiment

Slide 4 von 4

Comparing theory and experiment

 Comparing measurements with mathematical predictions using the central limit theorem.

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Let us compare the theory and experiment of the two coin experiments. There are four possible measurement results. Each of the combinations has a certain probability. Let us calculate the correlation function for the case of two different coins. P(Black) equals P(White), equals ½. The probability for two independent coins can be seen as the product of the individual probabilities.

The greater the number N of measurements is, the smaller will be the fluctuations around the theoretically calculated expected value. As we have already seen in Stations U1-3, chance is averaged out if the number N approaches infinity. Certainty thus arises from an infinite number of chances. The experimental value always approaches exactly the theoretical value – however, only if the theory is true. In this simple example, that is, of course, the case.

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