PauliChain[x, i, j]
denotes a chain of Pauli matrices x
, where the Pauli indices i
and j
are explicit.
Overview, PCHN, PauliIndex, PauliIndexDelta, PauliChainJoin, PauliChainExpand, PauliChainFactor.
A standalone Pauli matrix
[PauliSigma[CartesianIndex[a]], PauliIndex[i], PauliIndex[j]] PauliChain
A chain of Pauli matrices with open indices
[PauliSigma[CartesianIndex[a, D - 1], D - 1] . PauliSigma[CartesianIndex[b, D - 1], D - 1], PauliIndex[i], PauliIndex[j]] PauliChain
A PauliChain
with only two arguments denotes a spinor component
[PauliXi[-I], PauliIndex[i]] PauliChain
[PauliEta[-I], PauliIndex[i]] PauliChain
[PauliIndex[i], PauliXi[I]] PauliChain
[PauliIndex[i], PauliEta[I]] PauliChain
The chain may also be partially open or closed
[PauliSigma[CartesianIndex[a]] . (m + PauliSigma[CartesianMomentum[p]]) . PauliSigma[CartesianIndex[b]], PauliXi[-I], PauliIndex[j]] PauliChain
[PauliSigma[CartesianIndex[a]] . (m + PauliSigma[CartesianMomentum[p]]) . PauliSigma[CartesianIndex[b]], PauliIndex[i], PauliXi[I]] PauliChain
[PauliSigma[CartesianIndex[a]] . (m + PauliSigma[CartesianMomentum[p]]) . PauliSigma[CartesianIndex[b]], PauliXi[-I], PauliEta[I]] PauliChain
[1, PauliXi[-I], PauliEta[I]] PauliChain