Heisenberg uncertainty relation and statistical measures in the square well
Adaptation and Self-Organizing Systems
2011-08-12 v1 Information Theory
math.IT
Quantum Physics
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, \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.
Keywords
Cite
@article{arxiv.1108.2376,
title = {Heisenberg uncertainty relation and statistical measures in the square well},
author = {Ricardo Lopez-Ruiz and Jaime Sanudo},
journal= {arXiv preprint arXiv:1108.2376},
year = {2011}
}
Comments
7 pages, 4 figures