= Yang-Baxter equation
{c}
{title2=$R_{12}(u)R_{13}(u+v)R_{23}(v)=R_{23}(v)R_{13}(u+v)R_{12}(u)$}
{wiki=Yang–Baxter_equation}
For a two-body operator $R(u)$ acting on a <tensor product> of particle species spaces, the spectral equation is $R_{12}(u)R_{13}(u+v)R_{23}(v)=R_{23}(v)R_{13}(u+v)R_{12}(u)$. It guarantees agreement between the two ways to reorder three particles in <factorized scattering>. A <Yang–Baxter operator> is a related braid-form operator; multiplying by the permutation operator converts between the braided and unbraided conventions.
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