Integrability of a system of \(N\) electrons subjected to Coulombian interactions (Q678598)
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scientific article; zbMATH DE number 1003895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrability of a system of \(N\) electrons subjected to Coulombian interactions |
scientific article; zbMATH DE number 1003895 |
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Integrability of a system of \(N\) electrons subjected to Coulombian interactions (English)
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27 April 1997
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The Liouville integrability of a system of \(N\) repelling particles in \(\mathbb{R}^n\), for a large class of potentials, is obtained by showing that the asymptotic velocities are smooth first integrals, independent and in involution. A new proof for the existence of the asymptotic velocities is also presented.
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\(N\) electron system
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asymptotic velocity
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Liouville integrability
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