On the matrix factorization of many-particle Coulomb Hamiltonians
Atomic Physics
2017-09-25 v2
Abstract
It is shown that the Coulomb many-particle Hamiltonians are always factorized. This fact can be used to obtain the closed analytical formula(s) for the bound state spectra of an arbitrary many-particle Coulomb system. For few- and many-electron atoms and ions these formulas are similar in some sense to the Bohr's formula which describes the bound state spectra of the hydrogen atom.
Keywords
Cite
@article{arxiv.1709.06558,
title = {On the matrix factorization of many-particle Coulomb Hamiltonians},
author = {Alexei M. Frolov},
journal= {arXiv preprint arXiv:1709.06558},
year = {2017}
}
Comments
PACS number(s): 31.30.Gs, 31.15.vj and 32.15.Fn.arXiv admin note: text overlap with arXiv:1708.03129