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The wave equation of Schroendinger has been shown to be an accurate means to describe an electron within an electric field*. It's key feature -- the 'psi' of the equation -- was shown by Heisenberg and Born to be related to the probability of finding an electron at a specific point at a specific time. If one solved the wave equation for a given E-field, and then used that result to calculate the probability of an electron being at a point, one could accurately predict that probability.

A "wave packet" is simply a mathematical description of a group of electrons travelling in an E-field. As always, the packet represent the odds of finding an electron at a specific place at a specific time. By solving the Schroendinger Equation for this packet (for those few cases where doing so is possible) and then using the latter insight of Heisenberg and Born, you can accurately describe probabilities.

Note my consistent use of the words "probability" or "odds." In QM you can NOT determine where an electron WILL go, only the odds of it going somewhere over time. This is NOT due to our lack of cleverness or precise measuring machines, it's an inherent fact of our Universe.

* Actually, it COULD be used for any particle under any Hamiltonian, but its only usefulness is with electrons in an E-field.

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