not to be confused with Wigner's theorem
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The identification of particle species with irreducible unitary representations of the symmetry group acting on matter fields over spacetime. Named after Eugene Wigner.
For details see at
Usese a method that goes back to Frobenius and came to be known as “Wigner’s little group method” or the “Mackey machine” (Mackey 68).
The original article is
The observation that Wigner’s representations $U_{(-)}$ are those for which all the maps $g \mapsto \langle \Phi \vert U_g \Psi \rangle$ are measurable and their correspondence of irreducible unitary representations to induced representations of irreps of the stabilizer group of a given momentum is (e.g. Dragon 16) due to
Review includes
Bert Schroer, Wigner Representation Theory of the Poincaré
Group, Localization, Statistics and the S-Matrix_, 1996 (pdf)
Norbert Dragon, Currents for Arbitrary Helicity (arXiv:1601.07825)
Wikipedia, Wigner’s classification
Last revised on December 28, 2017 at 17:36:37. See the history of this page for a list of all contributions to it.