Matrix mechanics for actual atoms and molecules
Quantum Physics
2018-04-04 v5 Atomic Physics
Abstract
Matrix mechanics 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.
Keywords
Cite
@article{arxiv.1708.03129,
title = {Matrix mechanics for actual atoms and molecules},
author = {Alexei M Frolov},
journal= {arXiv preprint arXiv:1708.03129},
year = {2018}
}
Comments
PACS number(s): 31.15.-A, 31.15.ac and 32.30.-r