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arXiv · 2205.14862

The vibrational modes of simplicial molecules

Charles H. Conley·Jon Erickson
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Abstract

Consider a "simplicial molecule": $n$ equal point masses placed at the vertices of a regular $(n-1)$-simplex, connected by ${n \choose 2}$ identical springs. We apply the representation theory of the symmetric group $S_n$ to compute its vibrational modes.

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Charles H. Conley, Jon Erickson. 2022-05-30. The vibrational modes of simplicial molecules. https://doi.org/10.1007/s00283-021-10160-z

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