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Update on Overleaf.

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Bela Gabriel Schneider 2025-03-20 13:51:44 +00:00 committed by node
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@ -87,7 +87,7 @@ code-for-last-col = \color{blue}
\item Manifolds $\textcolor{blue}{M} := \mathbb{S}^3 /_ \sim$ where $\sim $ identifies the orbits of finite $H \leq SO(4)$
\item Helmholtz equation on $\textcolor{blue}{M}$ given by
$$(\Delta + E_\textcolor{red} {\beta}^\textcolor{blue}{M})\psi_\textcolor{red}{\beta}^{\textcolor{blue}{M}, i} = 0$$
$$(\Delta + E_{\textcolor{red}}{\beta}^\textcolor{blue}{M})\psi_\textcolor{red}{\beta}^{\textcolor{blue}{M}, i} = 0$$
\item In fact $E_\textcolor{red}{\beta}^m = \textcolor{red}{\beta}^2-1$ for $\textcolor{red}{\beta} \in \mathbb{N}$ we call $\textcolor{red}{\beta}$ a wave number