On the matrix factorization of many-particle Coulomb Hamiltonians

Alexei M. Frolov

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arXiv · 1709.06558

On the matrix factorization of many-particle Coulomb Hamiltonians

Alexei M. Frolov

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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.

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Alexei M. Frolov. 2017-09-19. On the matrix factorization of many-particle Coulomb Hamiltonians. https://arxiv.org/abs/1709.06558

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