Trivalent Spin Networks & Identities

Snippets Page

Various trivalent spin network diagrams.

Source Code

$$\tikz[heighttwo]{
        \node[cloud,fill=red!20,draw=red!20!gray,inner sep=3pt](middle)at(0,1){??}
            edge[trivalent]node[rightlabel,pos=1]{$x$}(0,-.5)
            edge[trivalent,bend left=10]node[rightlabel,pos=1]{$i_1$}(-1.2,2.5)
            edge[trivalent,bend left=10]node[rightlabel,pos=1]{$i_2$}(-.5,2.5)
            edge[trivalent,draw=none]node[basiclabel]{$\cdots$}(.35,2.5)
            edge[trivalent,bend right=10]node[rightlabel,pos=1]{$i_r$}(1,2.5);
    }
    $$

Identities

coming soon

Forks

    \begin{equation}\label{eq:leftassocdiagram}
    \tikz[heightthree,scale=1.5]{
        \draw[trivalent](0,0)node[rightlabel]{$x$}to(0,1)to[bend left]node[leftlabel]{$m_{r-1}$}(-.5,1.5)
            (0,1)to[bend right](1.5,3.5)node[rightlabel]{$i_r$}
            (-1,2)to[bend left]node[leftlabel]{$m_2$}(-1.5,2.5)to[bend left]node[leftlabel]{$m_1$}(-2,3)
                to[bend left](-2.3,3.5)node[leftlabel]{$i_1$}
            (-2,3)to[bend right](-1.75,3.5)node[rightlabel]{$i_2$}
            (-1.5,2.5)to[bend right](-1,3.5)node[rightlabel]{$i_3$};
        \draw[dotdotdot,bend right](-.7,3)to(.7,2.5);
    }
    \end{equation}