Poincare Semigroup Symmetry as an Emergent Property of Unstable Systems

Abstract

The notion that elementary systems correspond to irreducible representations of the Poincare group is the starting point for this paper, which then goes on to discuss how a semigroup for the time evolution of unstable states and resonances could emerge from the underlying Poincare symmetry. Important tools in this analysis are the Clebsch-Gordan coefficients for the Poincare group.

Comments: 17 pages, 1 figure