Some complexity measures in confined isotropic harmonic oscillator

Abstract

Various well-known statistical measures like \emph{López-Ruiz, Mancini, Calbet} (LMC) and \emph{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 $\alpha ,\beta$ as $(\frac{2}{3},3)$ 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.

arXiv commentarXiv admin note: text overlap with arXiv:1801.05232