q-Renyi's entropy as a possible measure of electron correlation

被引:9
|
作者
Flores-Gallegos, N. [1 ]
机构
[1] Univ Guadalajara, Ctr Univ Valles, Carretera Guadalajara Ameca Km 45-5, Ameca 46600, Jalisco, Mexico
关键词
Renyi's entropy; Jackson's integral; q-calculus; Atoms; Molecules; Electron correlation; ATOMIC CORRELATION-ENERGY; INFORMATION-THEORY; SHANNON ENTROPY; ALGEBRA; SPACE; MODEL;
D O I
10.1007/s10910-021-01268-w
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this work, we presented a generalization of Renyi's entropy using Jackson's integral to obtain an expression linked to the electronic correlation; as study cases, we analyzed the first thirty-six atoms in their ground state and a set of 1842 molecules. The results obtained in this work show that our proposal of q-Renyi's entropy is directly related to the electron correlation.
引用
收藏
页码:1822 / 1835
页数:14
相关论文
共 50 条
  • [31] 一类Moran测度的勒让德谱与q-Renyi维数
    余翠娥
    吴敏
    湖北大学学报(自然科学版), 2007, (02) : 121 - 125
  • [32] Refined Composite Multiscale Phase Renyi Dispersion Entropy for Complexity Measure
    Tong, Yu-Han
    Ling, Guang
    Guan, Zhi-Hong
    Fan, Qingju
    Wan, Li
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (05):
  • [33] Detection of multipartite correlation transfer via discrete Renyi entropy
    Munoz, Carlos
    Roa, Luis
    Klimov, Andrei B.
    PHYSICAL REVIEW A, 2024, 109 (01)
  • [34] Study of DNA binding sites using the Renyi parametric entropy measure
    Krishnamachari, A
    Mandal, VM
    Karmeshu
    JOURNAL OF THEORETICAL BIOLOGY, 2004, 227 (03) : 429 - 436
  • [35] Threshold selection using Renyi's entropy
    Sahoo, P
    Wilkins, C
    Yeager, J
    PATTERN RECOGNITION, 1997, 30 (01) : 71 - 84
  • [36] Disequilibrium, thermodynamic relations, and Renyi's entropy
    Pennini, F.
    Plastino, A.
    PHYSICS LETTERS A, 2017, 381 (04) : 212 - 215
  • [37] An Information Bottleneck Problem with Renyi's Entropy
    Weng, Jian-Jia
    Alajaji, Fady
    Linder, Tamas
    2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2021, : 2489 - 2494
  • [38] Nonadditivity of Renyi entropy and Dvoretzky's theorem
    Aubrun, Guillaume
    Szarek, Stanislaw
    Werner, Elisabeth
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (02)
  • [39] Weighted Renyi's entropy for lifetime distributions
    Nourbakhsh, Mohammadreza
    Yari, Gholamhoseein
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (14) : 7085 - 7098
  • [40] Dynamic cumulative residual Renyi's entropy
    Sunoj, S. M.
    Linu, M. N.
    STATISTICS, 2012, 46 (01) : 41 - 56