A simple method for the evaluation of the information content and complexity in atoms. A proposal for scalability
暂无分享,去创建一个
C. P. Panos | C. C. Tsouros | N. Nikolaidis | C. Panos | K. Chatzisavvas | C. Tsouros | K.Ch. Chatzisavvas | N. S. Nikolaidis | Nikos Nikolaidis
[1] Roman F. Nalewajski,et al. Information Theory of Molecular Systems , 2006 .
[2] H. E. Montgomery,et al. Statistical complexity and Fisher–Shannon information measure of H+2 , 2008 .
[3] P. Geerlings,et al. Complexity of Dirac–Fock atom increases with atomic number , 2007 .
[4] J. S. Dehesa,et al. Shannon entropy as an indicator of atomic avoided crossings in strong parallel magnetic and electric fields. , 2003, Physical review letters.
[5] Shannon information entropies of molecules and functional groups in the self-consistent reaction field , 2000 .
[6] N. S. Barnett,et al. Private communication , 1969 .
[7] Rolf Landauer,et al. A simple measure of complexity , 1988, Nature.
[8] George Maroulis,et al. Computational aspects of electric polarizability calculations: Atoms, molecules and clusters , 2006, J. Comput. Methods Sci. Eng..
[9] P. Ziesche. Correlation strength and information entropy , 1995 .
[10] A. Hyman,et al. Interrelations among x-ray scattering, electron densities, and ionization potentials , 1978 .
[11] Christoph Adami,et al. Information theory in molecular biology , 2004, q-bio/0405004.
[12] Comparison of the information entropy in fermionic and bosonic systems , 2002, quant-ph/0201102.
[13] Ricardo López-Ruiz,et al. A Statistical Measure of Complexity , 1995, ArXiv.
[14] B. Frieden. Science from Fisher Information , 2004 .
[15] Rory A. Fisher,et al. Theory of Statistical Estimation , 1925, Mathematical Proceedings of the Cambridge Philosophical Society.
[16] Ágnes Nagy,et al. The Fisher–Shannon information plane for atoms , 2008 .
[17] C. E. SHANNON,et al. A mathematical theory of communication , 1948, MOCO.
[18] A link of information entropy and kinetic energy for quantum many-body systems , 2001, nucl-th/0101040.
[19] C. P. Panos,et al. Comparison of SDL and LMC measures of complexity: Atoms as a testbed , 2007 .
[20] Claude E. Shannon,et al. The mathematical theory of communication , 1950 .
[21] C. Tsallis. Possible generalization of Boltzmann-Gibbs statistics , 1988 .
[22] Ricardo López-Ruiz,et al. Complexity in atoms: an approach with a new analytical density , 2008, ArXiv.
[23] C. Panos. Universal property of the order parameter in quantum many-body systems , 2001 .
[24] N. H. March,et al. Quantum information: Jaynes and Shannon entropies in a two-electron entangled artificial atom , 2004 .
[25] I. Bialynicki-Birula,et al. Uncertainty relations for information entropy in wave mechanics , 1975 .
[26] C. J. Adkins. Thermodynamics and statistical mechanics , 1972, Nature.
[27] V. H. Smith,et al. The He isoelectronic series and the Hooke’s law model: Correlation measures and modifications of Collins’ conjecture , 1999 .
[28] G. Whitesides,et al. Complexity in chemistry. , 1999, Science.
[29] Annik Vivier Bunge,et al. Roothaan-Hartree-Fock Ground-State Atomic Wave Functions: Slater-Type Orbital Expansions and Expectation Values for Z = 2-54 , 1993 .
[30] V. H. Smith,et al. Relationships between Jaynes entropy of the one-particle density matrix and Shannon entropy of the electron densities , 2002 .
[31] C. P. Panos,et al. Universal property of the information entropy in atoms, nuclei and atomic clusters , 1998 .
[32] A. Kusiak. Information Entropy , 2006 .
[33] Net Fisher information measure versus ionization potential and dipole polarizability in atoms , 2006, quant-ph/0610129.
[34] P. Geerlings,et al. Quantum similarity study of atomic density functions: insights from information theory and the role of relativistic effects. , 2007, The Journal of chemical physics.
[35] A numerical study of molecular information entropies , 1994 .
[36] Sagar,et al. Physical interpretation of information entropy: Numerical evidence of the Collins conjecture. , 1996, Physical review. A, Atomic, molecular, and optical physics.
[37] K. D. Sen,et al. Reviews of modern quantum chemistry : a celebration of the contributions of Robert G. Parr , 2002 .
[38] Quantum-Information Content of Fractional Occupation Probabilities in Nuclei , 2004, quant-ph/0409150.
[39] P. T. Landsberg,et al. Can entropy and order increase together , 1984 .
[40] R. Gáspár. Concerning an approximation of the Hartree–Fock potential by a universal potential function , 2000 .
[41] Takeo Hoshi. Ultra-large-scale electronic structure theory and numerical algorithm (High Performance Algorithms for Computational Science and Their Applications) , 2008 .
[42] Proceedings of the Cambridge Philosophical Society , 2022 .
[43] K Ch Chatzisavvas,et al. Information entropy, information distances, and complexity in atoms. , 2005, The Journal of chemical physics.
[44] G. Battail. Théorie de l'information , 1982, Électronique.
[45] K. Sen. Characteristic features of Shannon information entropy of confined atoms. , 2005, The Journal of chemical physics.
[46] Sears,et al. Some novel characteristics of atomic information entropies. , 1985, Physical review. A, General physics.
[47] P. Karafiloglou,et al. Order of Coulomb and Fermi pairs: application in a π-system , 2004 .