Evidence of irreducibility of the state space in elastic e-e-scattering

Details Evidence of irreducibility of the state space in elastic e-e-scattering Evidence of irreducibility of the state space in elastic e-e-scattering

2010-04-06

arxiv.org/abs/1004.0820v4

Physics

General Physics

11 pages, streamlined version

Scientific paper

The S-matrix of e-e-scattering contains a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine-structure constant alpha acts as a weight factor. When the structure of the two-particle state space is known, a theoretical value of the weight factor can be calculated. It is shown that for an irreducible two-particle representation of the Poincare group, the theoretical weight factor matches the empirical value of alpha. The empirical value of alpha, therefore, provides experimental evidence that the state space of two interacting electrons has the simple structure of an irreducible two-particle representation of the Poincare group.

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