Kinematics at infinite momentum: H. Bacry and N. P. Chang. Department of Physics, City College of the City University of New York, New York, New York
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 82 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
In this paper we perform a contraction on the Poincare group which leads to a group isomorphic to the Poincare Group. By "contracting" the canonical representation of the Poincare generators, we show that this iso-Poincare group describes the kinematics of a system of particles all with v, = 1. We give explicitly the behavior of the pI infinite states under finite iso-Poincare transformations. We also give the corresponding transformaion laws under parity and time reversal. As an application, we study a scattering process as viewed by an observer moving with v, = -1. This leads to a very natural justification of the impact parameter representation of S-matrix element. In conclusion, we give some indications on the covariant generalization of the iso-Poincart group.
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