Renyi complexities and information planes: Atomic structure in conjugated spaces

被引:28
作者
Antolin, J. [2 ,3 ]
Lopez-Rosa, S. [1 ,3 ]
Angulo, J. C. [1 ,3 ]
机构
[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain
[2] Univ Zaragoza, Dept Fis Aplicada, EUITIZ, Zaragoza 50018, Spain
[3] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
关键词
FISHER-SHANNON INFORMATION; STATISTICAL COMPLEXITY; NONEXTENSIVE ENTROPY; THERMODYNAMIC DEPTH; UNCERTAINTY; PRODUCT;
D O I
10.1016/j.cplett.2009.04.061
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Generalized Renyi complexity measures are defined and numerically analyzed for atomic one-particle densities in both conjugated spaces. These complexities provide, as particular cases, the previously known statistical and Fisher-Shannon complexities. The generalized complexities provide information on the atomic shell structure and shell-filling patterns, allowing to appropriately weight different regions of the electronic cloud. (C) 2009 Elsevier B. V. All rights reserved.
引用
收藏
页码:233 / 237
页数:5
相关论文
共 48 条
[1]   Fisher-Shannon plane and statistical complexity of atoms [J].
Angulo, J. C. ;
Antolin, J. ;
Sen, K. D. .
PHYSICS LETTERS A, 2008, 372 (05) :670-674
[2]   Atomic complexity measures in position and momentum spaces [J].
Angulo, J. C. ;
Antolin, J. .
JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (16)
[3]  
[Anonymous], 1965, PROBL PEREDACHI INF
[4]   Some features of the Lopez-Ruiz-Mancini-Calbet (LMC) statistical measure of complexity [J].
Anteneodo, C ;
Plastino, AR .
PHYSICS LETTERS A, 1996, 223 (05) :348-354
[5]   Fisher and Jensen-Shannon divergences: Quantitative comparisons among distributions. Application to position and momentum atomic densities [J].
Antolin, J. ;
Angulo, J. C. ;
Lopez-Rosa, S. .
JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (07)
[6]   Complexity Analysis of Ionization Processes and Isoelectronic Series [J].
Antolin, J. ;
Angulo, J. C. .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2009, 109 (03) :586-593
[7]  
BENESCH R, 1973, WAVE MECH 1 50 YEARS
[8]  
Bennett C.H., 1988, The universal Turing machine: a half-century survey, P207, DOI DOI 10.1007/978-3-7091-6597-38
[9]   Complexity of Dirac-Fock atom increases with atomic number [J].
Borgoo, A. ;
De Proft, F. ;
Geerlings, P. ;
Sen, K. D. .
CHEMICAL PHYSICS LETTERS, 2007, 444 (1-3) :186-191
[10]  
BORGOO A, 2004, J CHEM PHYS, V120, P9969