Complexity Study of a Single Particle Under q-Deformed Potentials
Abstract
We have studied the variation of the position space statistical complexity measure defined by L\'{o}pez-Ruiz, Mancini, and Calbet such as the product of exponential of the Shannon information entropy and the disequilibrium by using the 1D-normalized probability densities derived from solutions of the Schr\"{o}dinger equation corresponding to the q-deformed harmonic oscillator and q-deformed Morse potentials. An analysis of the numerical results in terms of Shannon information entropy, disequilibrium and complexity measure are presented. In q-deformed harmonic oscillator, q-dependence of the complexity shows a minimum point for all excited energy levels. In the case of q-deformed Morse Potential, complexity decreases with increasing for the investigated diatomic molecules.
Cite
@article{arxiv.1806.09371,
title = {Complexity Study of a Single Particle Under q-Deformed Potentials},
author = {Ferhat Nutku and K. D. Sen and Ekrem Aydiner},
journal= {arXiv preprint arXiv:1806.09371},
year = {2018}
}
Comments
9 pages, 17 figures