Jensen-Shannon and Kullback-Leibler divergences as quantifiers of relativistic effects in neutral atoms

被引:15
作者
Martin, A. L. [1 ]
Lopez-Rosa, S. [2 ]
Angulo, J. C. [1 ,3 ]
Antolin, J. [3 ,4 ]
机构
[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain
[2] Univ Seville, Dept Fis Aplicada 2, Escuela Tecn Super Ingn Edificac, E-41012 Seville, Spain
[3] Univ Granada, Inst Carlos Fis Teor & Computac 1, E-18071 Granada, Spain
[4] Univ Zaragoza, Dept Fis Aplicada, EINA, Zaragoza 50018, Spain
关键词
FOCK WAVE-FUNCTIONS; ELECTRON CORRELATION; CROSS-ENTROPY; INFORMATION; SPACES; DENSITIES; PROFILES; DISTANCE; SYSTEMS; CHARGE;
D O I
10.1016/j.cplett.2015.06.037
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
Relativistic effects in neutral atoms are analyzed, on the basis of discrepancies between the Hartree-Fock and Dirac-Fock electron charge densities. In doing so, comparative density functionals are employed as quantifiers of dissimilarity among the above densities. A detailed analysis throughout the Periodic Table reveals the relevance not only of weightiness for the systems considered, but also of their shell structure. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:75 / 79
页数:5
相关论文
共 48 条
[1]   Atomic complexity measures in position and momentum spaces [J].
Angulo, J. C. ;
Antolin, J. .
JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (16)
[2]   INFORMATION ENTROPY AND UNCERTAINTY IN D-DIMENSIONAL MANY-BODY SYSTEMS [J].
ANGULO, JC .
PHYSICAL REVIEW A, 1994, 50 (01) :311-313
[3]   Jensen-Shannon divergence in conjugate spaces: The entropy excess of atomic systems and sets with respect to their constituents [J].
Angulo, Juan C. ;
Antolin, Juan ;
Lopez-Rosa, Sheila ;
Esquivel, Rodolfo O. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (04) :899-907
[4]   Relativistic global and local divergences in hydrogenic systems: A study in position and momentum spaces [J].
Antolin, J. ;
Angulo, J. C. ;
Mulas, S. ;
Lopez-Rosa, S. .
PHYSICAL REVIEW A, 2014, 90 (04)
[5]   Minimum-cross-entropy estimation of atomic charge densities from scattering factors [J].
Antolín, J ;
Cuchí, JC ;
Angulo, JC .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1999, 32 (03) :577-586
[6]   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)
[7]   Finding borders between coding and noncoding DNA regions by an entropic segmentation method [J].
Bernaola-Galván, P ;
Grosse, I ;
Carpena, P ;
Oliver, JL ;
Román-Roldán, R ;
Stanley, HE .
PHYSICAL REVIEW LETTERS, 2000, 85 (06) :1342-1345
[8]   Electron density and Fisher information of Dirac-Fock atoms [J].
Borgoo, A. ;
Geerlings, P. ;
Sen, K. D. .
PHYSICS LETTERS A, 2008, 372 (31) :5106-5109
[9]   Quantum similarity study of atomic density functions: Insights from information theory and the role of relativistic effects [J].
Borgoo, A. ;
Godefroid, M. ;
Indelicato, P. ;
De Proft, F. ;
Geerlings, P. .
JOURNAL OF CHEMICAL PHYSICS, 2007, 126 (04)
[10]   Analyzing Kullback-Leibler information profiles: an indication of their chemical relevance [J].
Borgoo, Alex ;
Jaque, Pablo ;
Toro-Labbe, Alejandro ;
Van Alsenoy, Christian ;
Geerlings, Paul .
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2009, 11 (03) :476-482