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Poincaré Semigroup Symmetry as an Emergent Property of Unstable Systems
Authors:Nathan L Harshman
Institution:(1) Department of Computer Science, Audio Technology and Physics, American University, Washington, USA, DC, 20016
Abstract:The notion that elementary systems correspond to irreducible representations of the Poincaré 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 Poincaré symmetry. Important tools in this analysis are the Clebsch-Gordan coefficients for the Poincaré group.
Keywords:unstable systems  Poincaré group  semigroup
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