Abstract
Various well-known statistical measures like Lopez-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 Renyi 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. This investigation advocates that (i) CHO may be treated as a missing-link between PISB and IHO (ii) an increase in number of nodes takes the system towards order. A detailed analysis of these complexity measures reveals several other hitherto unreported interesting features.
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