Heisenberg uncertainty relation and statistical measures in the square well

Details Heisenberg uncertainty relation and statistical measures in the square well Heisenberg uncertainty relation and statistical measures in the square well

2011-08-11

arxiv.org/abs/1108.2376v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

7 pages, 4 figures

Scientific paper

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 x\Delta p. It is observed that the extreme values of \Delta x\Delta p coincide in time with extreme values of the other two statistical magnitudes.

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