Heisenberg uncertainty relation and statistical measures in the square well
Abstract
A non stationary state in the one-dimensional infinite square well formed by a combination of the ground state and the first excited one is considered. The statistical complexity and the Fisher-Shannon entropy in position and momentum are calculated with time for this system. These measures are compared with the Heisenberg uncertainty relation, x p. It is observed that the extreme values of x p coincide in time with extreme values of the other two statistical magnitudes.
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