definition 14.63 Pauli–Lubanski vector

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2843 · p. 574

Rests on

Supports

Neighborhood

Every logical edge within two steps of this node.

definition 14.63: Pauli–Lubanski vector14.63equation 14.86: eq:lie-sopq-gen14.86equation 14.82: eq:lie-transl-gen14.82lemma 14.64: Properties of W14.64theorem 14.65: The two Casimir operators of the Poincaré algebra in 3+1 dimensions14.65proposition 14.117: The quadratic invariant and its Chern–Simons form14.117proposition 14.59: The Killing fields of a flat pseudo-Euclidean space14.59equation 14.90: eq:lie-algebrasopq14.90equation 14.97: eq:lie-jp-comm14.97equation 14.84: eq:lie-transl-comm14.84lemma 14.62: The Levi-Civita symbol is invariant14.62proof : ch:12-lie-groups-fibre-bundles@proof-30proofproposition 14.60: The quadratic invariant14.60example A.394: D = 4A.394proof : ch:12-lie-groups-fibre-bundles@proof-31proof

Edges

typedirectionnode provenancewhere
depends_on eq:lie-sopq-gen declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2847
depends_on eq:lie-transl-gen declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2847
depends_on Properties of $W$ declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2857
depends_on The two Casimir operators of the Poincaré algebra in $3+1$ dimensions declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2903