Cramér–Rao, Fisher–Shannon and LMC–Rényi Complexity-like Measures of Multidimensional Hydrogenic Systems with Application to Rydberg States

• Published in: Quantum reports Vol. 5; no. 1; pp. 116 - 137
• Main Author: Dehesa, Jesús S.
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.02.2023
• Subjects: Charged particles; Chemical reactions; Complexity; Cramér–Rao complexity-like measures; Entropy; Fermions; First principles; Fisher–Shannon complexity-like measures; Fourier transforms; highly excited Rydberg states; Hypergeometric functions; LMC–Rényi complexity-like measures; Mathematical analysis; multidimensional hydrogenic systems; Polynomials; Rydberg states

Statistical measures of complexity hold significant potential for applications in D-dimensional finite fermion systems, spanning from the quantification of the internal disorder of atoms and molecules to the information–theoretical analysis of chemical reactions. This potential will be shown in hydr...