论文标题
简单分子的振动模式
The vibrational modes of simplicial molecules
论文作者
论文摘要
考虑一个“简单分子”:$ n $相等的点质量放置在常规$(n-1)$ - 单纯子的顶点,由$ {n \ select 2} $相同的弹簧连接。我们将对称组$ s_n $的表示理论应用于计算其振动模式。
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.