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- W4362514701 abstract "Considering interatomic potential $U({mathbf q})$ where ${mathbf q} = [{mathbf q}_1, {mathbf q}_2, dots, {mathbf q}_N] in {mathbb R}^{3N}$ is a vector describing positions, $mathbf{q}_i in {mathbb R}^3$, it is shown that $U$ can be defined as a function of the interatomic distance variables $r_{ij} = |{mathbf q}_i - {mathbf q}_j |$, provided that the potential $U$ satisfies some symmetry assumptions. Moreover, the potential $U$ can be defined as a function of a proper subset of the distance variables $r_{ij}$, provided that $N > 5$, with the number of distance variables used scaling linearly with the number of atoms, $N$." @default.
- W4362514701 created "2023-04-06" @default.
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- W4362514701 date "2023-03-31" @default.
- W4362514701 modified "2023-09-25" @default.
- W4362514701 title "Symmetries of many-body systems imply distance-dependent potentials" @default.
- W4362514701 doi "https://doi.org/10.48550/arxiv.2303.18204" @default.
- W4362514701 hasPublicationYear "2023" @default.
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