Some complexity measures in confined isotropic harmonic oscillator

Abstract

Various well-known statistical measures like López-Ruiz, Mancini, Calbet (LMC) and Fisher-Shannon complexity have been explored for confined isotropic harmonic oscillator (CHO) in composite position (r) and momentum (p) spaces. To get a deeper insight about CHO, a more generalized form of these quantities with Rényi entropy (R) is invoked here. The importance of scaling parameter in the exponential part is also investigated. R is estimated considering order of entropic moments α, β as ( 2 3 , 3) in r and p spaces respectively. Explicit results of these measures with respect to variation of confinement radius r c is provided systematically for first eight energy states, namely, 1s, 1p, 1d, 2s, 1f, 2p, 1g and 2d. Detailed analysis of these complexity measures provides many hitherto unreported interesting features.

Information Entropies for H2 and ScF Diatomic Molecules with Deng- Fan-Eckart Potential

“…This study will offer more information in the applications to semiconductors and quantum dots. Information entropies have been investigated for scaling behavior properties [26][27][28], confined systems [29][30][31][32], shape effect of quantum heterostructures [33], among others [34][35][36][37][38][39][40][41]. In recent times, there are very little research works on information theory with exponential type potentials, and to the best of our knowledge, no application of diatomic molecules for exponential type potential has been investigated and hence the motivation of this study.…”