2017/08/31 by Alexei M. Frolov, Alexei M Frolov
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Bound state #Coulomb #Factorization #Matrix (chemical analysis) #Molecule #Quantum Mechanics and Non-Hermitian Physics #Spectral line #State (computer science) #Upper and lower bounds #physics.atom-ph #quant-ph
paper · pdf · doi:10.1139/cjp-2017-0585
PACS number(s): 31.15.-A, 31.15.ac and 32.30.-r
openalex created_date 2017/08/17 · arxiv created 2017/09/07 · openalex publication_date 2017/10/25 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
Matrix factorization method is developed to describe the bound state spectra in few- and many-electron atoms, ions, and molecules. Our method is based on the matrix factorization of many-electron (or many-particle) Coulomb Hamiltonians, which are written in hyperspherical coordinates. As follows from the results of our study, the bound state spectra of many-electron (or many-particle) Coulomb Hamiltonians always have the “ladder” structure and this fundamental fact can be used to determine and investigate the bound states in various few- and many-body Coulomb systems.