The calculation of probability amplitudes in theoretical particle physics requires the use of rather large and complicated integrals over a large number of variables.
32.
The reconciliation of wave and particle attributes of the field is accomplished via the association of a probability amplitude with a classical mode pattern.
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The action corresponding to the various paths is used to calculate the path integral, that gives the probability amplitudes of the various outcomes.
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The scattering amplitude is a probability amplitude and the differential cross-section as a function of scattering angle is given as its modulus squared
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Thus, SDR provides a classical realization of quantum superposition in which probability amplitudes are represented directly and implicitly by sizes of set intersections.
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We then have a better estimation for the total probability amplitude by adding the probability amplitudes of these two possibilities to our original simple estimate.
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We then have a better estimation for the total probability amplitude by adding the probability amplitudes of these two possibilities to our original simple estimate.
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This permits us to build a set of asymptotic states which can be used to start a computation of the probability amplitudes for different processes.
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In order to find the overall probability amplitude for a given process, then, one adds up, or interference ( see below ).
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As such it can model photons as potentially following all paths from a source to a final point, each path with a certain probability amplitude.
