Potentials in the Algebraic Scattering Theory

  • A. Zielke
  • W. Scheid
Part of the NATO ASI Series book series (NSSB, volume 334)


The algebraic scattering theory (AST) allows a completely algebraic determination of the S-matrix for scattering systems with a given dynamical symmetry [1, 2]. Of particular interest for practical applications is the AST with SO(1, 3) or SO(2, 3) dynamical symmetry, since the S-matrix for Coulomb scattering appears as a special case of the more general, algebraically derived S-matrices. In an earlier contribution [3] we showed that the algebraic S-matrix is not unique, but comprises two different classes of S-matrices with algebraically undetermined phase factors. Since in the algebraic formalism the scattering potentials do not appear explicitly, the question naturally arises, how potentials corresponding to a given symmetry can be constructed. In the following, this problem is solved for the case of an SO(1, 3) and an SO(2, 3) dynamical symmetry.


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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • A. Zielke
    • 1
  • W. Scheid
    • 1
  1. 1.Institut für Theoretische PhysikJustus-Liebig-Universität GießenGießenGermany

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