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Open Quantum Systems Decoherence Quantum Simulation Quantum Chemistry

Matrix mechanics for actual atoms and molecules

arXiv
Authors: Alexei M Frolov

Year

2017

Paper ID

44113

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • Matrix mechanics is developed to describe the bound state spectra in few- and many-electron atoms, ions and molecules.

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