Physics[Psigma] - the Pauli's 2 x 2 sigma matrices
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Calling Sequence
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Psigma[n]
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Parameters
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n
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an integer between 0 and 4, or an algebraic expression representing it, identifying a Pauli matrix
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Description
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The Psigma[n] command represents the three Pauli matrices; that is, the set of Hermitian and unitary matrices:
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When multiplied by the imaginary unit, these matrices are a realization of the Lie algebra of the SU(2) group, which is isomorphic to the Lie algebra of SO(3). So, the are also a matrix realization of infinitesimal rotations in 3D space, hence serving as representation for the 3D angular momentum operator in Physics.
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Examples
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