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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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โœฆ 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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