Symmetries of many-body systems imply distance-dependent potentials

Considering interatomic potential U(q) where q = [q1, q2, . . . , qN ] ∈ R 3N is a vector describing positions, qi ∈ R 3 , it is shown that U can be defined as a function of the interatomic distance variables rij = |qi − qj |, provided that the potential U satisfies some symmetry assumptions. Moreov...

Full description

Bibliographic Details
Main Authors: Utterson, J, Erban, R
Format: Journal article
Language:English
Published: American Physical Society 2023