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arXiv · 1708.03129

Matrix mechanics for actual atoms and molecules

Alexei M Frolov
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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.

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Alexei M Frolov. 2017-09-07. Matrix mechanics for actual atoms and molecules. https://doi.org/10.1139/cjp-2017-0585

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