Wigner rotations and little groups

Baskal S.

ACTA PHYSICA HUNGARICA NEW SERIES-HEAVY ION PHYSICS, vol.19, pp.273-276, 2004 (SCI-Expanded) identifier identifier


Wigner's little groups are the subgroups of the Poincare group whose transformations leave the four-momentum of a given particle invariant. For a, relativistic particle in motion the little group is a boosted rotation. On the other hand, the kinematical effect of two non-colinear Lorentz boosts is another boost preceded or followed by a rotation, which is called the Wigner rotation. It is shown that there is always a Wigner rotation for a given little group rotation. The differences between those two rotations are clearly demonstrated and some interesting physical applications are presented.