2017/06/06 by E. D. Belokolos, Eugene D. Belokolos
Chemistry · Mathematics · Physics and Astronomy · #Atom (system on chip) #Chemistry #Computer science #Crystal structure #Crystallography #Geometry #Madelung constant #Mathematics #Molecular spectroscopy and chirality #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Sum rule in quantum mechanics #Symmetry (geometry) #Table (database) #Theoretical physics #math-ph #math.MP #physics.atom-ph #quant-ph
paper · pdf · doi:10.3842/sigma.2017.038
published as SIGMA 13 (2017), 038, 15 pages
openalex publication_date 2017/06/06 · arxiv created 2017/06/07 · arxiv updated 2017/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that a neutral atom in mean-field approximation has O(4) symmetry and this fact explains the empirical [n+l, n]-rule or Madelung rule which describes effectively periods, structure and other properties of the Mendeleev table of chemical elements.