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5.1: Fórmulas útiles
https://espanol.libretexts.org/Matematicas/Algebra_Abstracta_y_Geometrica/%C3%81lgebra_Geom%C3%A9trica_Aplicada_(Tisza)/05%3A_Material_suplementario_sobre_el_%C3%A1lgebra_de_Pauli/5.01%3A_F%C3%B3rmulas_%C3%BAtiles
\[\begin{array}{c} {(\vec{a} \cdot \vec{\sigma})(\vec{b} \cdot \vec{\sigma})-(\vec{b} \cdot \vec{\sigma})(\vec{a} \cdot \vec{\sigma}) = [(\vec{a} \cdot \vec{\sigma}), (\vec{b} \cdot \vec{\sigma})] = 0... $\begin{array}{c} {(\vec{a} \cdot \vec{\sigma})(\vec{b} \cdot \vec{\sigma})-(\vec{b} \cdot \vec{\sigma})(\vec{a} \cdot \vec{\sigma}) = [(\vec{a} \cdot \vec{\sigma}), (\vec{b} \cdot \vec{\sigma})] = 0} \end{array}$ $\begin{array}{c} {\text{For} \vec{a} \perp \vec{b},\vec{a} \cdot \vec{b}}\\ {\{\vec{a} \cdot \vec{\sigma}, \vec{b} \cdot \vec{\sigma}\} \equiv (\vec{a} \cdot \vec{\sigma})(\vec{b} \cdot \vec{\sigma})+(\vec{b} \cdot \vec{\sigma})(\vec{a} \cdot \vec{\sigma}) = 0} \end{array}$

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