On algebraic models of relativistic scattering

G.A. Kerimov, A. Ventura

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Abstract

In this paper we develop an algebraic technique for building relativistic models in the framework of the direct-interaction theories. The interacting mass operator M in the Bakamjian-Thomas construction is related to a quadratic Casimir operator C of a non-compact group G. As a consequence, the S matrix can be gained from an intertwining relation between Weyl-equivalent representations of G. The method is illustrated by explicit application to a model with SO(3, 1) dynamical symmetry. © 2008 IOP Publishing Ltd.
Original languageEnglish
Article number395306
Pages (from-to)-
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number39
DOIs
Publication statusPublished - 3 Oct 2008
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

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