LAUSR

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 $$\alpha , \beta $$α,β as $$(\frac{2}{3},3)$$(23,3) in r and p spaces respectively. Explicit results of these measures with respect to variation of confinement radius $$r_c$$rc 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.