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Classical Physics
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N-body Potential Reduction: Can It Be Done?
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[QUOTE="Päällikkö, post: 2554468, member: 32064"] I suppose I could've equally well posted this to the math forum, but here goes... One often sees the two-body potential f([b]r[/b][sub]1[/sub], [b]r[/b][sub]2[/sub]) being reduced to to f(r[sub]12[/sub]). Can this be done in a more general case (can n-body potentials be reduced to just the distances between all the particles, e.g. f([b]r[/b][sub]1[/sub], [b]r[/b][sub]2[/sub]) -> f(r[sub]12[/sub], r[sub]13[/sub], r[sub]23[/sub]))? I assume that the point particles don't have any internal structure. Do I need to add further constraints? I'm mainly aiming for representations of angular and dihedral (torsional) potentials. From the looks of it, I'd guess it works at least with 3 point particles, due to the SSS triangle congruence. Any ideas? [/QUOTE]
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Physics
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Mechanics
N-body Potential Reduction: Can It Be Done?
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