Probability Collectives for Unstable Particles

  title={Probability Collectives for Unstable Particles},
  author={Heinrich Saller},
  journal={International Journal of Theoretical Physics},
  • H. Saller
  • Published 7 May 2002
  • Mathematics
  • International Journal of Theoretical Physics
Unstable particles, together with their stable decay products, constitute probability collectives that are defined as Hilbert spaces with dimension higher than one, nondecomposable in a particle basis. Their structure is considered in the framework of Birkhoff-von Neumann's Hilbert subspace lattices. Bases with particle states are related to bases with a diagonal scalar product by a Hilbert-bein involving the characteristic decay parameters (in some analogy to the n-bein structures of metrical… 
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