In a recent paper  we described a novel treatment of the unitary irreducible representations of the Poincaré groups in 2, 3 and 4 space-time dimensions as unitary operators on the representation spaces of the Schrodinger representation of the Heisenberg-Weyl algebra Wr(ℝ) of index r = 1, 2, and 3, respectively. Here we relate this approach to the usual method of describing the representations of these Poincare groups, i.e. the Wigner-Mackey construction.
|Original language||English (US)|
|Journal||Journal of Physics: Conference Series|
|State||Published - Apr 24 2019|
|Event||32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018 - Prague, Czech Republic|
Duration: Jul 9 2018 → Jul 13 2018
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)