Some complexity measures in confined isotropic harmonic oscillator

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, 3) in r and p spaces respectively. Explicit results of these measures with respect to variation of confinement radius 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.