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arXiv · 1806.09371

Complexity Study of a Single Particle Under q-Deformed Potentials

Ferhat Nutku·K. D. Sen·Ekrem Aydiner
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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 $q$ for the investigated diatomic molecules.

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Ferhat Nutku, K. D. Sen, Ekrem Aydiner. 2018-06-25. Complexity Study of a Single Particle Under q-Deformed Potentials. https://arxiv.org/abs/1806.09371

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