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25 January 2025
 
  » arxiv » hep-th/9210054

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Localization of Massless Spinning Particles and the Berry Phase
Bo-Sture K Skagerstam ;
Date 9 Oct 1992
Subject hep-th
AbstractThe components of the position operator, at a fixed time, for a massless and spinning particle with given helicity $lambda$ described in terms of bosonic degrees of freedom have an anomalous commutator proportional to $lambda$. The position operator generates translations in momentum space. We show that a ray-representation for these translations emerges due to the non-commuting components of the position operators and relate this to the Berry-phase for photons. The Tomita-Chiao experiment then gives support for this relativistic and quantum mechanical description of photons in terms of non-commuting position operators.
Source arXiv, hep-th/9210054
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