Divergence analysis of atomic ionization processes and isoelectronic series

被引:21
作者
Lopez-Rosa, S. [1 ,2 ]
Antolin, J. [2 ,3 ]
Angulo, J. C. [1 ,2 ]
Esquivel, R. O. [1 ,2 ,4 ]
机构
[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain
[2] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
[3] Univ Zaragoza, Dept Fis Aplicada, EUITIZ, Zaragoza 50018, Spain
[4] Univ Autonoma Metropolitana, Dept Quim, Mexico City 09340, DF, Mexico
关键词
FOCK WAVE-FUNCTIONS; FISHER-INFORMATION; QUANTUM SIMILARITY; HARTREE-FOCK; ASYMPTOTIC-BEHAVIOR; PARTICLE SYSTEMS; ELECTRON-DENSITY; CHARGE-DENSITY; CROSS-ENTROPY; INEQUALITIES;
D O I
10.1103/PhysRevA.80.012505
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Fisher divergences (FDs) and Jensen-Shannon divergences (JSDs) are used in this work to quantify the informational discrepancies between the one-particle electron densities of neutral atoms, singly charged ions, and isoelectronic series. These dissimilarity magnitudes, computed for a set of 319 atomic systems in both position and momentum spaces, provide relevant information concerning pattern, structure, and periodicity properties of the ionization processes. In particular an apparent correlation between extremal values of the atomic ionization potential and the divergences is found. Results are compared with those obtained by quantum similarity techniques.
引用
收藏
页数:9
相关论文
共 69 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 quantum similarity indices in position and momentum spaces [J].
Angulo, J. C. ;
Antolin, J. .
JOURNAL OF CHEMICAL PHYSICS, 2007, 126 (04)
[3]   Atomic complexity measures in position and momentum spaces [J].
Angulo, J. C. ;
Antolin, J. .
JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (16)
[4]   INFORMATION ENTROPY AND UNCERTAINTY IN D-DIMENSIONAL MANY-BODY SYSTEMS [J].
ANGULO, JC .
PHYSICAL REVIEW A, 1994, 50 (01) :311-313
[5]  
ANGULO JC, PHYS CHEM C IN PRESS
[6]  
[Anonymous], 1989, Questiio, Quaderns d'Estadistica i Investigacio Operativa
[7]  
[Anonymous], 2001, Pattern Classification
[8]   Quantum similarity indices for atomic ionization processes [J].
Antolin, J. ;
Angulo, J. C. .
EUROPEAN PHYSICAL JOURNAL D, 2008, 46 (01) :21-26
[9]   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
[10]   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)