Heisenberg uncertainty relation and statistical measures in the square well

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, $Delta xDelta p$. It is observed that the extreme values of $Delta xDelta p$ coincide in time with extreme values of the other two statistical magnitudes.