Statistical complexity, Fisher-Shannon information, and Bohr orbits in the H-atom

Abstract

The Fisher-Shannon information and a statistical measure of complexity are calculated in the position and momentum spaces for the wave functions of the H-atom. For each level of energy, it is found that these two indicators take their minimum values on the orbitals that correspond to the classical (circular) orbits in the Bohr atomic model, just those with the highest orbital angular momentum.

7 pages, 2 figures

References in corpus (5)

• A Statistical Measure of Complexity
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• Tendency to Maximum Complexity in a Non-Equilibrium Isolated System
• Information Entropy, Information Distances and Complexity in Atoms
• Comparison of SDL and LMC measures of complexity: Atoms as a testbed

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