2019/04/02 by Mukherjee, Neetik, Roy, Amlan K.
#FOS: Physical sciences #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.1904.01956
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 rc 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.