Some features of the statistical complexity, Fisher-Shannon information, and Bohr-like orbits in the Quantum Isotropic Harmonic Oscillator

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 quantum isotropic harmonic oscillator. We show that these magnitudes are independent of the strength of the harmonic potential. Moreover, 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-like quantum image, just those with the highest orbital angular momentum.

arXiv comment9 pages, 2 figures

References in corpus (6)

• 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
• Statistical complexity, Fisher-Shannon information, and Bohr orbits in the H-atom
• Comparison of SDL and LMC measures of complexity: Atoms as a testbed

Cited by in corpus (10)

• Complexity and white-dwarf structure
• Complexity and neutron stars structure
• A Generalized Statistical Complexity Measure: Applications to Quantum Systems
• Information geometric methods for complexity
• Shannon Entropy and Fisher Information of the one-dimensional Klein-Gordon oscillator with energy-dependent potential
• Alternative evaluation of statistical indicators in atoms: the non-relativistic and relativistic cases
• Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures
• Statistical measure of complexity for quantum systems with continuous variables
• Statistical measure of complexity and correlated behavior of Fermi systems
• Statistical complexity as a probe of mass and phase structure in compact objects