Composition law and contractions of the Poincare group
- 1 January 1986
- journal article
- Published by IOP Publishing in European Journal of Physics
- Vol. 7 (1) , 1-5
- https://doi.org/10.1088/0143-0807/7/1/001
Abstract
Explicit expressions are given for the Poincare group composition functions in terms of the physical parameters (space-time displacement, relative velocity and orientation) which relate two inertial observers. By making use of the limiting process of group contraction, the composition functions of the Galilei and Carroll groups are obtained. How these two groups imply some loss of certain relative properties of the Poincare group is also discussed.Keywords
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