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Pauli matrix

Pauli matrix multiplication law

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For vectors $\mathbf a,\mathbf b\in\mathbb R^3$, the <Pauli matrix multiplication law> gives
$$
[\mathbf a\mathbin\cdot\boldsymbol\sigma,\mathbf b\mathbin\cdot\boldsymbol\sigma]
=2i(\mathbf a\times\mathbf b)\mathbin\cdot\boldsymbol\sigma.
$$

Pauli matrix commutator identity

Cross-product Lie algebra

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Pauli matrix commutator identity

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Pauli matrix commutator identity

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