Fisher-Shannon plane and statistical complexity of atoms

被引：109

作者：

Angulo, J. C. ^{[2
,4
]}

Antolin, J. ^{[3
,4
]}

Sen, K. D. ^{[1
]}

机构：

[1] Univ Hyderabad, Sch Chem, Hyderabad 500046, Andhra Pradesh, India

[2] Univ Granada, Dept Fis Atom Mol & Nucl, Granada 18071, Spain

[3] Univ Zaragoza, EUITIZ, Dept Fis Aplicada, Zaragoza, Spain

[4] Univ Granada, Inst Carlos I Fis Teor & Computac, Granada 18071, Spain

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 05期

关键词：

D O I：

10.1016/j.physleta.2007.07.077

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the Hartree-Fock non-relativistic wave functions in the position and momentum spaces, the statistical measure of complexity C, due to Lopez-Ruiz, Mancini, and Calbet for the neutral atoms as well as their monopositive and mononegative ions with atomic number Z = 1-54 are reported. In C, given by the product of exponential power Shannon entropy and the average density, the latter is then replaced by the Fisher measure to obtain the Fisher-Shannon plane. Our numerical results suggest that in overall the Fisher-Shannon plane reproduces the trends given by C, with significantly enhanced sensitivity in the position, momentum and the product spaces in all neutral atoms and ions considered. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：670 / 674

页数：5

共 44 条

[31] Comparison of SDL and LMC measures of complexity: Atoms as a testbed [J].

Panos, C. P. ;

Chatzisavvas, K. Ch ;

Moustakidis, Ch C. ;

Kyrkou, E. G. .

PHYSICS LETTERS A, 2007, 363 (1-2) :78-83

[32] A logarithmic Sobolev inequality on the real line [J].

Pearson, JM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (11) :3339-3345

[33] Localization estimation and global vs. local information measures [J].

Pennini, F. ;

Plastino, A. .

PHYSICS LETTERS A, 2007, 365 (04) :263-267

[34] Derivation of the equations of nonrelativistic quantum mechanics using the principle of minimum Fisher information [J].

Reginatto, M .

PHYSICAL REVIEW A, 1998, 58 (03) :1775-1778

[35] The Fisher information of single-particle systems with a central potential [J].

Romera, E ;

Sánchez-Moreno, P ;

Dehesa, JS .

CHEMICAL PHYSICS LETTERS, 2005, 414 (4-6) :468-472

[36] The Fisher-Shannon information plane, an electron correlation tool [J].

Romera, E ;

Dehesa, JS .

JOURNAL OF CHEMICAL PHYSICS, 2004, 120 (19) :8906-8912

[37] Uncertainty relation for Fisher information of D-dimensional single-particle systems with central potentials [J].

Romera, Elvira ;

Sanchez-Moreno, P. ;

Dehesa, J. S. .

JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (10)

[38] Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials [J].

Sanchez-Moreno, P. ;

Gonzalez-Ferez, R. ;

Dehesa, J. S. .

NEW JOURNAL OF PHYSICS, 2006, 8

[39]

SEARS SB, 1980, ISR J CHEM, V19, P165

[40] Net Fisher information measure versus ionization potential and dipole polarizability in atoms [J].

Sen, K. D. ;

Panos, C. P. ;

Chatzisavvas, K. Ch. ;

Moustakidis, Ch. C. .

PHYSICS LETTERS A, 2007, 364 (3-4) :286-290

← 1 2 3 4 5 →