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Collision cross sections in terms of local observables

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Abstract

Asymptotic relations for matrix elements of quasilocal operators are given which generalize and extend the Lehmann-Symanzik-Zimmermann relations. These relations allow the simulation of a coincidence arrangement of particle detectors in the mathematical frame of the theory and thereby the expression of collision cross sections in terms of expectation values of observables.

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Author notes

  1. H. Araki

    Present address: Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

Authors and Affiliations

  1. Department of Physics, University of Illinois, Urbana, Illinois

    H. Araki & R. Haag

Authors
  1. H. Araki
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  2. R. Haag
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Additional information

This paper results from the collaboration of the authors during the winter semester 63/64 at Urbana, Illinois and was partly supported by the NSF.

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Araki, H., Haag, R. Collision cross sections in terms of local observables. Commun.Math. Phys. 4, 77–91 (1967). https://doi.org/10.1007/BF01645754

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  • DOI: https://doi.org/10.1007/BF01645754

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