Matrix mechanics for actual atoms and molecules

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.

PACS number(s): 31.15.-A, 31.15.ac and 32.30.-r

References in corpus (1)

• On the $Q$-dependence of the lowest-order QED corrections and other properties of the ground $1^{1}S-$states in the two-electron ions

Cited by in corpus (1)

• On the general theory of bound state spectra in the Coulomb few- and many-body systems