Wigner rotations and little groups



Wigner’s little groups are the subgroups of the Poincaré 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 follwed 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.


Wigner’s little groups Wigner rotations 


42.55.Ah 11.30.Cp 42.15.Eq 


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Copyright information

© Akadémiai Kiadó 2004

Authors and Affiliations

  1. 1.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey

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