A Generalized Statistical Complexity Measure: Applications to Quantum Systems TeX Export

@article{citeulike:4567405, abstract = {A two-parameter family of complexity measures \$\tilde{C}^{(\alpha,\beta)}\$ based on the R\'enyi entropies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization of a continuous version of the LMC complexity, which is recovered for \$\alpha=1\$ and \$\beta=2\$. These complexity measures are obtained by multiplying two quantities bringing global information on the probability distribution defining the system. When one of the parameters, \$\alpha\$ or \$\beta\$, goes to infinity, one of the global factors becomes a local factor. For this special case, the complexity is calculated on different quantum systems: H-atom, harmonic oscillator and square well.}, archivePrefix = {arXiv}, author = {Lopez-Ruiz, R. and Nagy, A. and Romera, E. and Sanudo, J.}, citeulike-article-id = {4567405}, citeulike-linkout-0 = {http://arxiv.org/abs/0905.3360}, citeulike-linkout-1 = {http://arxiv.org/pdf/0905.3360}, day = {20}, eprint = {0905.3360}, keywords = {atomic-complexity, product-complexities}, month = {May}, posted-at = {2009-06-09 20:44:38}, priority = {2}, title = {A Generalized Statistical Complexity Measure: Applications to Quantum Systems}, url = {http://arxiv.org/abs/0905.3360}, year = {2009} }

TY - JOUR ID - citeulike:4567405 L3 - citeulike-article-id:4567405 N2 - A two-parameter family of complexity measures $\tilde{C}^{(\alpha,\beta)}$ based on the R\'enyi entropies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization of a continuous version of the LMC complexity, which is recovered for $\alpha=1$ and $\beta=2$. These complexity measures are obtained by multiplying two quantities bringing global information on the probability distribution defining the system. When one of the parameters, $\alpha$ or $\beta$, goes to infinity, one of the global factors becomes a local factor. For this special case, the complexity is calculated on different quantum systems: H-atom, harmonic oscillator and square well. TI - A Generalized Statistical Complexity Measure: Applications to Quantum Systems KW - atomic-complexity KW - product-complexities AU - Lopez-Ruiz, R AU - Nagy, A AU - Romera, E AU - Sanudo, J PY - 2009/May/20/ UR - http://arxiv.org/abs/0905.3360 ER -